G. Toulouse, J. Vannimenus, and J. Maillard, Spin glasses and roughening transition, Journal de Physique Lettres, vol.38, issue.22, pp.459-461, 1977.
DOI : 10.1051/jphyslet:019770038022045900

URL : https://hal.archives-ouvertes.fr/jpa-00231420

J. Villain, Two-level systems in a spin-glass model. I. General formalism and two-dimensional model, Journal of Physics C: Solid State Physics, vol.10, issue.23, pp.4793-4803, 1977.
DOI : 10.1088/0022-3719/10/23/013

P. Anderson, Ordering and Antiferromagnetism in Ferrites, Physical Review, vol.102, issue.4, pp.1008-1013, 1956.
DOI : 10.1103/PhysRev.102.1008

L. Pauling, The Structure and Entropy of Ice and of Other Crystals with Some Randomness of Atomic Arrangement, Journal of the American Chemical Society, vol.57, issue.12, p.18, 1935.
DOI : 10.1021/ja01315a102

P. Anderson, Resonating valence bonds: A new kind of insulator?, Materials Research Bulletin, vol.8, issue.2, pp.153-160, 1973.
DOI : 10.1016/0025-5408(73)90167-0

P. Fazekas and P. Anderson, On the ground state properties of the anisotropic triangular antiferromagnet, Philosophical Magazine, vol.79, issue.2, pp.423-440, 1974.
DOI : 10.1080/14786439808206568

V. Cannella and J. Mydosh, Magnetic Ordering in Gold-Iron Alloys, Physical Review B, vol.6, issue.11, p.4220, 1972.
DOI : 10.1103/PhysRevB.6.4220

A. Ramirez, Strongly Geometrically Frustrated Magnets, Annual Review of Materials Science, vol.24, issue.1, pp.453-480, 1994.
DOI : 10.1146/annurev.ms.24.080194.002321

J. S. Gardner, M. J. Gingras, and J. E. Greedan, Magnetic pyrochlore oxides, Reviews of Modern Physics, vol.82, issue.1, pp.53-107
DOI : 10.1103/RevModPhys.82.53

URL : http://arxiv.org/abs/0906.3661

M. Harris, S. Bramwell, T. Zeiske, D. Mcmorrow, and P. King, Magnetic structures of highly frustrated pyrochlores, International Conference on Magnetism, pp.757-762, 1997.
DOI : 10.1016/S0304-8853(97)00796-8

J. Bernal and R. Fowler, A theory of water and ionic ssolution, with particular reference to hydrogen and hydroxyl ions, JOURNAL OF CHEMICAL PHYSICS, p.18, 1933.

J. Snyder, J. Slusky, R. Cava, and P. Schiffer, How ???spin ice??? freezes, Nature, vol.13, issue.6851, pp.48-51, 2001.
DOI : 10.1038/35092516

S. Rosenkranz, A. Ramirez, A. Hayashi, R. Cava, R. Siddharthan et al., Crystal-field interaction in the pyrochlore magnet Ho2Ti2O7, 44th Annual Conference on Magnetism and Magnetic Materials, pp.5914-5916, 1999.
DOI : 10.1063/1.372565

A. Ramirez, A. Hayashi, R. Cava, R. Siddharthan, and B. Shastry, Zero-point entropy in 'spin ice, Nature, vol.399, issue.6734, pp.333-335, 1999.
DOI : 10.1038/20619

R. Higashinaka, H. Fukazawa, and Y. Maeno, Specific heat of single crystal of spin ice compound Dy2Ti2O7, MAY 2003. 23rd International Conference on Low Temperature Physics (LT23), pp.1040-1041, 2002.
DOI : 10.1016/S0921-4526(02)02311-6

. Perry, Dirac Strings and Magnetic Monopoles in the Spin Ice Dy2Ti2O7, SCIENCE, vol.326, pp.411-414, 2009.

R. Melko and M. Gingras, Monte Carlo studies of the dipolar spin ice model, Journal of Physics: Condensed Matter, vol.16, issue.43, pp.1277-1319, 2004.
DOI : 10.1088/0953-8984/16/43/R02

S. Scharffe, O. Breunig, V. Cho, P. Laschitzky, M. Valldor et al., Suppression of Pauling's Residual Entropy in Dilute Spin Ice, p.19, 2015.

T. Copley, B. D. Jenkins, and . Gaulin, Revisiting static and dynamic spin-ice correlations in Ho2Ti2O7 with neutron scattering, PHYSICAL REVIEW B, vol.79, 1921.

T. Fennell, P. P. Deen, A. R. Wildes, K. Schmalzl, D. Prabhakaran et al., Magnetic Coulomb Phase in the Spin Ice Ho2Ti2O7, Science, vol.326, issue.5951, pp.415-417, 2009.
DOI : 10.1126/science.1177582

C. L. Henley, E. Camino-way, and P. Box, The ???Coulomb Phase??? in Frustrated Systems, ANNUAL REVIEW OF CON- DENSED MATTER PHYSICS of Annual Review of Condensed Matter Physics, pp.179-210, 2010.
DOI : 10.1146/annurev-conmatphys-070909-104138

C. Castelnovo, R. Moessner, and S. L. Sondhi, Magnetic monopoles in spin ice, Nature, vol.303, issue.7174, pp.42-45, 2008.
DOI : 10.1038/nature06433

URL : https://hal.archives-ouvertes.fr/hal-00298579

S. Isakov, K. Gregor, R. Moessner, and S. Sondhi, Dipolar Spin Correlations in Classical Pyrochlore Magnets, Physical Review Letters, vol.93, issue.16, 2004.
DOI : 10.1103/PhysRevLett.93.167204

URL : https://hal.archives-ouvertes.fr/hal-00298534

C. Castelnovo, R. Moessner, and S. L. Sondhi, Thermal Quenches in Spin Ice, Physical Review Letters, vol.104, issue.10, p.2010
DOI : 10.1103/PhysRevLett.104.107201

M. J. Gingras and P. A. Mcclarty, Quantum spin ice: a search for gapless quantum spin liquids in pyrochlore magnets, Reports on Progress in Physics, vol.77, issue.5, p.29, 2014.
DOI : 10.1088/0034-4885/77/5/056501

N. Shannon, O. Sikora, F. Pollmann, K. Penc, and P. Fulde, Quantum Ice: A Quantum Monte??Carlo Study, Physical Review Letters, vol.108, issue.6, pp.2012-2038
DOI : 10.1103/PhysRevLett.108.067204

M. Hermele, M. Fisher, and L. Balents, Pyrochlore photons: The U(1) spin liquid in a S=1/2 three-dimensional frustrated magnet, PHYSICAL REVIEW B, vol.69, 1925.

O. Benton, O. Sikora, and N. Shannon, Seeing the light: Experimental signatures of emergent electromagnetism in a quantum spin ice, Physical Review B, vol.86, issue.7, pp.2012-2039
DOI : 10.1103/PhysRevB.86.075154

H. R. Molavian, M. J. Gingras, and B. Canals, Dynamically induced frustration as a route to a quantum spin ice state in Tb2Ti2O7 via virtual crystal field excitations and quantum manybody effects, PHYSICAL REVIEW LETTERS, vol.98, pp.31-33, 1929.

H. Cao, A. Gukasov, I. Mirebeau, P. Bonville, C. Decorse et al., Ising versus XY Anisotropy in Frustrated R2Ti2O7 Compounds as " Seen " by Polarized Neutrons, PHYSICAL REVIEW LETTERS, vol.103, pp.31-60, 2009.

J. Zhang, K. Fritsch, Z. Hao, B. V. Bagheri, M. J. Gingras et al., Neutron spectroscopic study of crystal field excitations in Tb2Ti2O7 and Tb2Sn2O7, PHYSICAL REVIEW B, vol.89, issue.14, pp.2014-2043

V. V. Klekovkina and B. Z. Malkin, Crystal field and magnetoelastic interactions in Tb2Ti2O7, Optics and Spectroscopy, vol.116, issue.6, pp.849-857
DOI : 10.1134/S0030400X14060137

Y. Kao, M. Enjalran, A. Del-maestro, H. Molavian, and M. Gingras, Understanding paramagnetic spin correlations in the spin-liquid pyrochlore Tb2Ti2O7, PHYSICAL REVIEW B, vol.68, issue.32, pp.33-34, 2003.

M. Gingras, B. Den-hertog, M. Faucher, J. Gardner, S. Dunsiger et al., Thermodynamic and single-ion properties of Tb3+ within the collective paramagnetic-spin liquid state of the frustrated pyrochlore antiferromagnet Tb2Ti2O7, Physical Review B, vol.62, issue.10, pp.6496-6511, 2000.
DOI : 10.1103/PhysRevB.62.6496

T. Fennell, M. Kenzelmann, B. Roessli, M. K. Haas, and R. J. Cava, Power-Law Spin Correlations in the Pyrochlore Antiferromagnet Tb2Ti2O7, PHYSICAL REVIEW LETTERS, vol.109, issue.29, pp.2012-2042

B. Hertog and M. Gingras, Dipolar Interactions and Origin of Spin Ice in Ising Pyrochlore Magnets, Physical Review Letters, vol.84, issue.15, pp.3430-3433, 1929.
DOI : 10.1103/PhysRevLett.84.3430

J. Gardner, B. Gaulin, A. Berlinsky, P. Waldron, S. Dunsiger et al., Neutron scattering studies of the cooperative paramagnet pyrochlore Tb2Ti2O7, PHYSICAL REVIEW B, vol.64, issue.1, p.30, 2001.

S. Legl, C. Krey, S. R. Dunsiger, H. A. Dabkowska, J. A. Rodriguez et al., Vibrating-Coil Magnetometry of the Spin Liquid Properties of Tb2Ti2O7, PHYSICAL REVIEW LETTERS, vol.109, issue.23, pp.2012-2042

J. Gardner, A. Keren, G. Ehlers, C. Stock, E. Segal et al., Dynamic frustrated magnetism in Tb2Ti2O7 at 50 mK, PHYSICAL RE- VIEW B, vol.68, p.30, 2003.

Y. Chapuis, A. Yaouanc, P. D. De-reotier, C. Marin, S. Vanishri et al., Evidence from thermodynamic measurements for a singlet crystal-field ground state in pyrochlore Tb2Sn2O7 and Tb2Ti2O7, PHYSICAL REVIEW B, vol.82, issue.2, pp.2010-2041

Y. Yasui, M. Kanada, M. Ito, H. Harashina, M. Sato et al., ???Neutron Scattering Study???, Journal of the Physical Society of Japan, vol.71, issue.2, pp.599-606, 2002.
DOI : 10.1143/JPSJ.71.599

L. Yin, J. S. Xia, Y. Takano, N. S. Sullivan, Q. J. Li et al., Low-Temperature Low-Field Phases of the Pyrochlore Quantum Magnet Tb2Ti2O7, PHYSICAL REVIEW LETTERS, vol.110, issue.25, p.2013

. Gaulin, Antiferromagnetic spin ice correlations at, the ground state of the pyrochlore magnet Tb2Ti2O7, pp.2013-2043

K. Mueller, Effective-Spin Hamiltonian for "Non-Kramers" Doublets, Physical Review, vol.171, issue.2, pp.350-381, 1968.
DOI : 10.1103/PhysRev.171.350

S. H. Curnoe, Structural distortion and the spin liquid state in Tb, PHYSICAL REVIEW B, vol.78, issue.227, p.31, 2008.

P. Bonville, I. Mirebeau, A. Gukasov, S. Petit, J. Robert et al., Low temperature phase diagram for the pyrochlore compound Tb(2)Ti(2)O(7), International Conference on Frustration in Condensed Matter (ICFCM), pp.11-14, 2011.

L. Mamsurova, K. Pigalskii, and K. Pukhov, Low-Temperature Anomaly of the Elastic- Modulus in TB2TI2O7, JETP LETTERS, vol.43, pp.755-758, 1986.

P. Bonville, S. Petit, I. Mirebeau, J. Robert, E. Lhotel et al., at very low temperature, Journal of Physics: Condensed Matter, vol.25, issue.27, pp.2013-2044
DOI : 10.1088/0953-8984/25/27/275601

URL : https://hal.archives-ouvertes.fr/hal-00860899

J. P. Ruff, B. D. Gaulin, J. P. Castellan, K. C. Rule, J. P. Clancy et al., Structural fluctuations in the spin-liquid state of Tb, PHYSICAL REVIEW LETTERS, vol.99, issue.227, p.31, 2007.

B. D. Dabkowski and . Gaulin, Magnetoelastics of a Spin Liquid: X-Ray Diffraction Studies of Tb2Ti2O7 in Pulsed Magnetic Fields, PHYSICAL REVIEW LETTERS, vol.105, issue.13, pp.2010-2041

I. Mirebeau, I. Goncharenkor, =. Tb, and H. , Spin ice and spin liquid under pressure up to 8.6 GPa: A powder neutron diffraction study of R2Ti2O7, 3rd European Conference on Neutron Scattering, pp.250-253, 2003.

K. Matsuhira, C. Sekine, C. Paulsen, M. Wakeshima, Y. Hinatsu et al., Spin Freezing in the Pyrochlore Antiferromagnet Pr(2)Zr(2)O(7), " in HIGHLY FRUSTRATED MAGNETISM Highly Frustrated Magnetism, Journal of Physics Conference Series, vol.145, pp.7-12, 2008.

M. Hatnean, C. Decorse, M. Lees, O. Petrenko, D. Keeble et al., Structural and magnetic properties of single-crystals of the geometrically frustrated zirconium pyrochlore, Pr MATERIALS RESEARCH EXPRESS, issue.227, p.31, 2014.

S. M. Koohpayeh, J. J. Wen, B. A. Trump, C. L. Broholm, and T. M. Mcqueen, Synthesis, floating zone crystal growth and characterization of the quantum spin ice Pr2Zr2O7 pyrochlore, CHAPITRE 1. INTRODUCTION GÉNÉRALE [71], pp.291-298
DOI : 10.1016/j.jcrysgro.2014.06.037

K. Kimura, S. Nakatsuji, J. Wen, C. Broholm, M. B. Stone et al., Quantum fluctuations in spin-ice-like Pr2Zr2O7, Nature Communications, vol.83, issue.32, p.34
DOI : 10.1038/ncomms2914

A. P. Sazonov, A. Gukasov, H. B. Cao, P. Bonville, E. Ressouche et al., Magnetic structure in the spin liquid Tb2Ti2O7 induced by a [111] magnetic field: Search for a magnetization plateau, PHYSICAL REVIEW B, vol.88, issue.26, pp.2013-2047
URL : https://hal.archives-ouvertes.fr/cea-01477949

S. Onoda and Y. Tanaka, Quantum fluctuations in the effective pseudospin-1/2 model for magnetic pyrochlore oxides, PHYSICAL REVIEW B, vol.83, issue.14, pp.2011-2045

S. Onoda and Y. Tanaka, Quantum Melting of Spin Ice: Emergent Cooperative Quadrupole and Chirality, Physical Review Letters, vol.105, issue.4, pp.2010-2044
DOI : 10.1103/PhysRevLett.105.047201

G. L. Squires, Introduction to the theory of thermal neutron scattering, pp.61-64, 1978.

]. J. Références1, B. Gardner, D. Gaulin, and . Paul, Single crystal growth by the floating-zone method of a geometrically frustrated pyrochlore antiferromagnet, Tb2Ti2O7, JOURNAL OF CRYSTAL GROWTH, vol.191, pp.740-745, 1998.

M. Hutchings, Point-charge calculation of energy levels of magnetic ions in crystalline electric fiels, SOLID STATE PHYSICS-ADVANCES IN RESEARCH AND APPLICATIONS, pp.227-273, 1964.

K. Stevens, Matrix Elements and Operator Equivalents Connected with the Magnetic Properties of Rare Earth Ions, Proceedings of the Physical Society. Section A, vol.65, issue.3, pp.209-215, 1952.
DOI : 10.1088/0370-1298/65/3/308

S. Rosenkranz, A. Ramirez, A. Hayashi, R. Cava, R. Siddharthan et al., Crystal-field interaction in the pyrochlore magnet Ho2Ti2O7, 44th Annual Conference on Magnetism and Magnetic Materials, pp.5914-5916, 1999.
DOI : 10.1063/1.372565

M. Gingras, B. Den-hertog, M. Faucher, J. Gardner, S. Dunsiger et al., Thermodynamic and single-ion properties of Tb3+ within the collective paramagnetic-spin liquid state of the frustrated pyrochlore antiferromagnet Tb2Ti2O7, Physical Review B, vol.62, issue.10, pp.6496-6511, 2000.
DOI : 10.1103/PhysRevB.62.6496

V. V. Klekovkina and B. Z. Malkin, Crystal field and magnetoelastic interactions in Tb2Ti2O7, Optics and Spectroscopy, vol.116, issue.6, pp.849-857
DOI : 10.1134/S0030400X14060137

A. Bertin, Y. Chapuis, P. D. De-reotier, and A. Yaouanc, Crystal electric field in the R2Ti2O7 pyrochlore compounds, JOURNAL OF PHYSICS-CONDENSED MATTER, vol.24, p.70

J. Zhang, K. Fritsch, Z. Hao, B. V. Bagheri, M. J. Gingras et al., Neutron spectroscopic study of crystal field excitations in Tb2Ti2O7 and Tb2Sn2O7, PHYSICAL REVIEW B, vol.89, issue.14, pp.2014-70

H. Cao, A. Gukasov, I. Mirebeau, P. Bonville, C. Decorse et al., Ising versus XY Anisotropy in Frustrated R2Ti2O7 Compounds as " Seen " by Polarized Neutrons, PHYSICAL REVIEW LETTERS, vol.103, pp.31-70, 2009.

J. Gardner, A. Keren, G. Ehlers, C. Stock, E. Segal et al., Dynamic frustrated magnetism in Tb2Ti2O7 at 50 mK, PHYSICAL RE- VIEW B, vol.68, p.70, 2003.

Y. Chapuis, A. Yaouanc, P. D. De-reotier, C. Marin, S. Vanishri et al., Evidence from thermodynamic measurements for a singlet crystal-field ground state in pyrochlore Tb2Sn2O7 and Tb2Ti2O7, PHYSICAL REVIEW B, vol.82, issue.2, pp.2010-75

S. Legl, C. Krey, S. R. Dunsiger, H. A. Dabkowska, J. A. Rodriguez et al., Vibrating-Coil Magnetometry of the Spin Liquid Properties of Tb2Ti2O7, PHYSICAL REVIEW LETTERS, vol.109, issue.23, p.2012

Y. Yasui, M. Kanada, M. Ito, H. Harashina, M. Sato et al., ???Neutron Scattering Study???, Journal of the Physical Society of Japan, vol.71, issue.2, pp.599-606, 2002.
DOI : 10.1143/JPSJ.71.599

L. Yin, J. S. Xia, Y. Takano, N. S. Sullivan, Q. J. Li et al., Low-Temperature Low-Field Phases of the Pyrochlore Quantum Magnet Tb2Ti2O7, PHYSICAL REVIEW LETTERS, vol.110, issue.25, p.2013

. Gaulin, Antiferromagnetic spin ice correlations at, the ground state of the pyrochlore magnet Tb2Ti2O7, pp.2013-110

B. Hertog and M. Gingras, Dipolar Interactions and Origin of Spin Ice in Ising Pyrochlore Magnets, Physical Review Letters, vol.84, issue.15, pp.3430-3433, 2000.
DOI : 10.1103/PhysRevLett.84.3430

Y. Kao, M. Enjalran, A. Del-maestro, H. Molavian, and M. Gingras, Understanding paramagnetic spin correlations in the spin-liquid pyrochlore Tb2Ti2O7, PHYSICAL REVIEW B, vol.68, issue.71, p.97, 2003.

J. Gardner, B. Gaulin, A. Berlinsky, P. Waldron, S. Dunsiger et al., Neutron scattering studies of the cooperative paramagnet pyrochlore Tb2Ti2O7, PHYSICAL REVIEW B, vol.64, issue.75, p.111, 2001.

T. Fennell, M. Kenzelmann, B. Roessli, M. K. Haas, and R. J. Cava, Power-Law Spin Correlations in the Pyrochlore Antiferromagnet Tb2Ti2O7, PHYSICAL REVIEW LETTERS, vol.109, issue.109, pp.2012-88

J. P. Ruff, B. D. Gaulin, J. P. Castellan, K. C. Rule, J. P. Clancy et al., Structural fluctuations in the spin-liquid state of Tb, PHYSICAL REVIEW LETTERS, vol.99, issue.71, p.112, 2007.

B. D. Dabkowski and . Gaulin, Magnetoelastics of a Spin Liquid: X-Ray Diffraction Studies of Tb2Ti2O7 in Pulsed Magnetic Fields, PHYSICAL REVIEW LETTERS, vol.105, issue.13, pp.2010-112

I. Mirebeau, I. Goncharenkor, =. Tb, and H. , Spin ice and spin liquid under pressure up to 8.6 GPa: A powder neutron diffraction study of R2Ti2O7, 3rd European Conference on Neutron Scattering, pp.250-253, 2003.

B. G. Ueland, J. S. Gardner, A. J. Williams, M. L. Dahlberg, J. G. Kim et al., Coexisting magnetic order and cooperative paramagnetism in the stuffed pyrochlore Tb2+xTi2-2xNbxO7, PHYSICAL REVIEW B, vol.81, p.72, 2010.

C. Henley, Power-law spin correlations in pyrochlore antiferromagnets, Physical Review B, vol.71, issue.1, p.110, 2005.
DOI : 10.1103/PhysRevB.71.014424

S. H. Curnoe, Structural distortion and the spin liquid state in Tb, PHYSICAL REVIEW B, vol.78, issue.227, p.75, 2008.

O. Benton, O. Sikora, and N. Shannon, Seeing the light: Experimental signatures of emergent electromagnetism in a quantum spin ice, Physical Review B, vol.86, issue.7, pp.2012-77
DOI : 10.1103/PhysRevB.86.075154

T. Fennell, P. P. Deen, A. R. Wildes, K. Schmalzl, D. Prabhakaran et al., Magnetic Coulomb Phase in the Spin Ice Ho2Ti2O7, Science, vol.326, issue.5951, pp.415-417, 2009.
DOI : 10.1126/science.1177582

J. Robert, B. Canals, V. Simonet, and R. Ballou, Propagation and Ghosts in the Classical Kagome Antiferromagnet, Physical Review Letters, vol.101, issue.11, p.79, 2008.
DOI : 10.1103/PhysRevLett.101.117207

URL : https://hal.archives-ouvertes.fr/hal-00952873

P. H. Conlon and J. T. Chalker, Spin Dynamics in Pyrochlore Heisenberg Antiferromagnets, Physical Review Letters, vol.102, issue.23, p.79, 2009.
DOI : 10.1103/PhysRevLett.102.237206

T. Fennell, M. Kenzelmann, B. Roessli, H. Mutka, J. Ollivier et al., Magnetoelastic Excitations in the Pyrochlore Spin Liquid Tb2Ti2O7, PHYSICAL REVIEW LETTERS, vol.112, issue.88, pp.2014-112

H. Cao, A. Gukasov, I. Mirebeau, P. Bonville, and G. Dhalenne, Field-Induced Spin-Ice-Like Orders in Spin Liquid Tb, PHYSICAL REVIEW LETTERS LE COMPOSÉ, vol.101, issue.3, pp.2-2, 2008.

I. Mirebeau, A. Apetrei, J. Rodriguez-carvajal, P. Bonville, A. Forget et al., Ordered spin ice state and magnetic fluctuations in Tb2Sn2O7, PHYSICAL REVIEW LETTERS, vol.94, issue.94, p.110

S. Guitteny, J. Robert, P. Bonville, J. Ollivier, C. Decorse et al., Anisotropic Propagating Excitations and Quadrupolar Effects in Tb2Ti2O7, PHYSICAL REVIEW LETTERS, vol.111, issue.104, pp.2013-109
URL : https://hal.archives-ouvertes.fr/cea-01477940

C. L. Henley, E. Camino-way, and P. Box, The ???Coulomb Phase??? in Frustrated Systems, ANNUAL REVIEW OF CON- DENSED MATTER PHYSICS of Annual Review of Condensed Matter Physics, pp.179-210, 2010.
DOI : 10.1146/annurev-conmatphys-070909-104138

D. Garanin and B. Canals, lattice, Physical Review B, vol.59, issue.1, pp.443-456, 1999.
DOI : 10.1103/PhysRevB.59.443

URL : https://hal.archives-ouvertes.fr/hal-00122443

M. Taillefumier, J. Robert, C. L. Henley, R. Moessner, and B. Canals, Semiclassical spin dynamics of the antiferromagnetic Heisenberg model on the kagome lattice, Physical Review B, vol.90, issue.6, pp.2014-110
DOI : 10.1103/PhysRevB.90.064419

URL : https://hal.archives-ouvertes.fr/hal-01367486

R. D. Shannon and C. T. Prewitt, Effective ionic radii in oxides and fluorides, Acta Crystallographica Section B Structural Crystallography and Crystal Chemistry, vol.25, issue.5, pp.925-946, 0112.
DOI : 10.1107/S0567740869003220

G. Gehring and K. Gehring, Co-operative Jahn-Teller effects, Reports on Progress in Physics, vol.38, issue.1, pp.1-113, 1975.
DOI : 10.1088/0034-4885/38/1/001

R. Hatnean, C. Decorse, M. Lees, O. Petrenko, D. Keeble et al., Structural and magnetic properties of single-crystals of the geometrically frustrated zirconium pyrochlore, MATERIALS RESEARCH EXPRESS, issue.227, p.120, 2014.

H. Cao, A. Gukasov, I. Mirebeau, P. Bonville, C. Decorse et al., Ising versus XY Anisotropy in Frustrated R2Ti2O7 Compounds as " Seen " by Polarized Neutrons, PHYSICAL REVIEW LETTERS, vol.103, issue.122, pp.31-123, 2009.

K. Kimura, S. Nakatsuji, J. Wen, C. Broholm, M. B. Stone et al., Quantum fluctuations in spin-ice-like Pr2Zr2O7, Nature Communications, vol.83, issue.158, pp.151-152
DOI : 10.1038/ncomms2914

A. Boothroyd, Spectre -a program calculating spectroscopic properties of rare earth ions in crystals, 1990.

A. P. Sazonov, A. Gukasov, I. Mirebeau, and P. Bonville, Double-layered monopolar order in the Tb2Ti2O7 spin liquid, PHYSICAL REVIEW B, vol.85, issue.133, p.134

T. Copley, B. D. Jenkins, and . Gaulin, Revisiting static and dynamic spin-ice correlations in Ho2Ti2O7 with neutron scattering, PHYSICAL REVIEW B, vol.79, 0143.

T. Fennell, O. Petrenko, B. Fak, J. Gardner, S. Bramwell et al., Neutron scattering studies of the spin ices Ho, )Ti(2)O(7) and Dy(2)Ti(2)O(7) in applied magnetic field, p.143, 2005.

A. P. Sazonov, A. Gukasov, H. B. Cao, P. Bonville, E. Ressouche et al., Magnetic structure in the spin liquid Tb2Ti2O7 induced by a [111] magnetic field: Search for a magnetization plateau, PHYSICAL REVIEW B, vol.88, issue.26, pp.2013-150
URL : https://hal.archives-ouvertes.fr/cea-01477949

Y. Tabata, H. Kadowaki, K. Matsuhira, Z. Hiroi, N. Aso et al., Kagome ice state in the dipolar spin ice Dy2Ti2O7, PHYSICAL REVIEW LETTERS, vol.97, issue.22, pp.2006-150

T. Fennell, P. P. Deen, A. R. Wildes, K. Schmalzl, D. Prabhakaran et al., Magnetic Coulomb Phase in the Spin Ice Ho2Ti2O7, Science, vol.326, issue.5951, pp.415-417, 2009.
DOI : 10.1126/science.1177582

T. Fennell, M. Kenzelmann, B. Roessli, M. K. Haas, and R. J. Cava, Power-Law Spin Correlations in the Pyrochlore Antiferromagnet Tb2Ti2O7, PHYSICAL REVIEW LETTERS, vol.109, issue.3, pp.2012-155

R. Glaces, . Spin, . Le, F. H. Du-doublet, A. Cao et al., Ising versus XY Anisotropy in Frustrated R2Ti2O7 Compounds as " Seen " by Polarized Neutrons, PHYSICAL REVIEW LETTERS, vol.103, p.165, 2009.

T. Fennell, M. Kenzelmann, B. Roessli, M. K. Haas, and R. J. Cava, Power-Law Spin Correlations in the Pyrochlore Antiferromagnet Tb2Ti2O7, PHYSICAL REVIEW LETTERS, vol.109, issue.165, pp.2012-183

K. Kimura, S. Nakatsuji, J. Wen, C. Broholm, M. B. Stone et al., Quantum fluctuations in spin-ice-like Pr2Zr2O7, Nature Communications, vol.83, issue.177, p.179, 2013.
DOI : 10.1038/ncomms2914

C. Broholm, Quantum Fluctuations in spin-ice-like Pr2Zr2O7, International Conference on Magnetism, p.181, 2015.

T. Fennell, P. P. Deen, A. R. Wildes, K. Schmalzl, D. Prabhakaran et al., Magnetic Coulomb Phase in the Spin Ice Ho2Ti2O7, Science, vol.326, issue.5951, pp.415-417, 2009.
DOI : 10.1126/science.1177582

J. P. Ruff, B. D. Gaulin, J. P. Castellan, K. C. Rule, J. P. Clancy et al., Structural fluctuations in the spin-liquid state of Tb, PHYSICAL REVIEW LETTERS, vol.99, issue.166, p.182, 2007.

B. D. Dabkowski and . Gaulin, Magnetoelastics of a Spin Liquid: X-Ray Diffraction Studies of Tb2Ti2O7 in Pulsed Magnetic Fields, PHYSICAL REVIEW LETTERS, vol.105, issue.13, pp.2010-182

I. Mirebeau, I. Goncharenkor, =. Tb, and . Ho, Spin ice and spin liquid under pressure up to 8.6GPa: A powder neutron diffraction study of R2Ti2O7 (R=Tb, Ho), 3rd European Conference on Neutron Scattering, pp.250-253, 2003.
DOI : 10.1016/j.physb.2004.04.039

A. P. Sazonov, A. Gukasov, I. Mirebeau, and P. Bonville, Double-layered monopolar order in the Tb2Ti2O7 spin liquid, PHYSICAL REVIEW B, vol.85, issue.173, p.183

M. J. Gingras and P. A. Mcclarty, Quantum spin ice: a search for gapless quantum spin liquids in pyrochlore magnets, Reports on Progress in Physics, vol.77, issue.5, p.179, 2014.
DOI : 10.1088/0034-4885/77/5/056501

O. Benton, O. Sikora, and N. Shannon, Seeing the light: Experimental signatures of emergent electromagnetism in a quantum spin ice, Physical Review B, vol.86, issue.7, pp.2012-177
DOI : 10.1103/PhysRevB.86.075154

P. Bonville, I. Mirebeau, A. Gukasov, S. Petit, J. Robert et al., Low temperature phase diagram for the pyrochlore compound Tb(2)Ti(2)O(7), INTERNATIONAL CONFERENCE ON FRUS- TRATION IN CONDENSED MATTER (ICFCM) International Conference on Frustration in Condensed Matter (ICFCM), pp.11-14, 2011.

E. Lhotel, S. Petit, S. Guitteny, O. Florea, M. Ciomaga-hatnean et al., Fluctuations and all-in all-out ordering in dipole-octupole Nd2Zr2O7, p.180, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01229091

G. Gehring and K. Gehring, Co-operative Jahn-Teller effects, Reports on Progress in Physics, vol.38, issue.1, pp.1-182, 1975.
DOI : 10.1088/0034-4885/38/1/001

P. Bonville, A. Gukasov, I. Mirebeau, and S. Petit, Towards a model of a dynamical Jahn-Teller coupling at very low temperatures in Tb2Ti2O7, PHYSICAL REVIEW B, vol.89
URL : https://hal.archives-ouvertes.fr/cea-01377056

J. S. Gardner, M. J. Gingras, and J. E. Greedan, Magnetic pyrochlore oxides, Reviews of Modern Physics, vol.82, issue.1, pp.53-107, 2010.
DOI : 10.1103/RevModPhys.82.53

M. J. Gingras and P. A. Mcclarty, Quantum spin ice: a search for gapless quantum spin liquids in pyrochlore magnets, Reports on Progress in Physics, vol.77, issue.5, 2014.
DOI : 10.1088/0034-4885/77/5/056501

K. Kimura, S. Nakatsuji, J. Wen, C. Broholm, M. B. Stone et al., Quantum fluctuations in spin-ice-like Pr2Zr2O7, Nature Communications, vol.83, p.187, 2013.
DOI : 10.1038/ncomms2914

B. Hertog and M. Gingras, Dipolar Interactions and Origin of Spin Ice in Ising Pyrochlore Magnets, Physical Review Letters, vol.84, issue.15, pp.3430-3433, 2000.
DOI : 10.1103/PhysRevLett.84.3430

P. Bonville, A. Gukasov, I. Mirebeau, and S. Petit, Towards a model of a dynamical Jahn-Teller coupling at very low temperatures in Tb2Ti2O7, PHYSICAL REVIEW B, vol.89, issue.18, pp.2014-188
URL : https://hal.archives-ouvertes.fr/cea-01377056

G. Gehring and K. Gehring, Co-operative Jahn-Teller effects, Reports on Progress in Physics, vol.38, issue.1, pp.1-188, 1975.
DOI : 10.1088/0034-4885/38/1/001

T. Fennell, M. Kenzelmann, B. Roessli, M. K. Haas, and R. J. Cava, Power-Law Spin Correlations in the Pyrochlore Antiferromagnet Tb2Ti2O7, PHYSICAL REVIEW LETTERS, vol.109, issue.3, pp.2012-188

O. Benton, O. Sikora, and N. Shannon, Seeing the light: Experimental signatures of emergent electromagnetism in a quantum spin ice, Physical Review B, vol.86, issue.7, pp.2012-188
DOI : 10.1103/PhysRevB.86.075154