2017

Instabilities of a U(1) quantum spin liquid in disordered non-Kramers pyrochlores

Benton, Owen

Understand

Quantum spin liquids (QSLs) are exotic phases of matter exhibiting long-range entanglement and supporting emergent gauge fields.

A vigorous search for experimental realizations of these states has identified several materials with properties hinting at QSL physics.
A key issue in understanding these QSL candidates is often the interplay of weak disorder of the crystal structure with the spin liquid state.
It has recently been pointed out that in at least one important class of candidate QSLs - pyrochlore magnets based on non-Kramers ions such as Pr$^{3+}$ or Tb$^{3+}$- structural disorder can actually promote a $U(1)$ QSL ground state.

Built on

D. S. Rokhsar and S. A. Kivelson, Superconductivity and the Quantum Hard-Core Dimer Gas, Phys. Rev. Lett. 61
1988
Earlier work this paper cites.
M. J. Harris, S. T. Bramwell, D. F. McMorrow, T. Zeiske and K. W. Godfrey, Geometrical Frustration in the Ferromagnetic Pyrochlore Ho 2 Ti 2 O 7 , Phys. Rev. Lett. 79
1997
Earlier work this paper cites.
M. Hermele, M. P. A. Fisher, and L. Balents, Pyrochlore photons: The U(1) spin liquid in a S=1/2 three-dimensional frustrated magnet, Phys. Rev. B 69
2004
Earlier work this paper cites.
M. Rigol, T. Bryant and R. R. P. Singh, Numerical Linked-Cluster Approach to Quantum Lattice Models, Phys. Rev. Lett. 97
2006
Earlier work this paper cites.
M. Rigol, T. Bryant and R. R. P. Singh, Numerical linked-cluster algorithms. I. Spin systems on square, triangular, and kagomé lattices Phys. Rev. E 75
2007
Earlier work this paper cites.
P. A. Lee, An end to the drought of quantum spin liquids, Science 321
2008
Earlier work this paper cites.
C. Castelnovo, R. Moessner and S. L. Sondhi, Magnetic monopoles in spin ice, Nature (London) 451
2008
Earlier work this paper cites.
A. Banerjee, S. V. Isakov, K. Damle and Y.-B. Kim, Unusual liquid state of hard-core bosons on the pyrochlore lattice, Phys. Rev. Lett. 100
2008
Earlier work this paper cites.
Dynamic Spin Ice: Pr 2 Sn 2 O 7 , Phys. Rev. Lett. 101
H. D. Zhou, C. R. Wiebe, J. A. Janik, L. Balicas, Y. J. Yo, Y. Qiu, J. R. D. Copley and J. S. Gardner, · 2008
Earlier work this paper cites.
K. Matsuhira, C. Sekine, C. Paulsen, M. Wakeshima, Y. Hinatsu, T. Kitazawa, Y. Kiuchi, Z. Hiroi and S. Takagi, Spin freezing in the pyrochlore antiferromagnet Pr 2 Zr 2 O 7 , J. Phys.: Conf. Series 145
2009
Earlier work this paper cites.
L. Balents, Spin liquids in frustrated magnets, Nature (London) 464
2010
Earlier work this paper cites.
J. S. Gardner, M. J. P. Gingras and J. E. Greedan, Magnetic Pyrochlore Oxides, Rev. Mod. Phys. 82
2010
Earlier work this paper cites.
S. Onoda and Y. Tanaka, Quantum Melting of Spin Ice: Emergent Cooperative Quadrupole and Chirality, Phys. Rev. Lett. 105
2010
Earlier work this paper cites.
K. A. Ross, L. Savary, B. D. Gaulin, and L. Balents, Quantum Excitations in Quantum Spin Ice, Phys. Rev. X 1
2011
Earlier work this paper cites.
S. Onoda and Y. Tanaka, Quantum fluctuations in the effective pseudospin- 1 2 \frac{1}{2} model for magnetic pyrochlore oxides, Phys. Rev. B 83
2011
Earlier work this paper cites.
C. Castelnovo, R. Moessner and S. L. Sondhi, Spin Ice, Fractionalization and Topological Order, Annu. Rev. Condens. Matter Phys. 3
2012
Earlier work this paper cites.
L. Savary and L. Balents, Coulombic quantum liquids in spin-1/2 pyrochlores, Phys. Rev. Lett. 108
2012
Earlier work this paper cites.
N. Shannon, O. Sikora, F. Pollmann, K. Penc, and P. Fulde, Quantum ice: A quantum Monte Carlo study, Phys. Rev. Lett. 108
2012
Earlier work this paper cites.
O. Benton, O. Sikora, and N. Shannon, Seeing the light: Experimental signatures of emergent electromagnetism in a quantum spin ice, Phys. Rev. B 86
2012
Earlier work this paper cites.
L.-J. Chang, S. Onoda, Y. Su, Y.-J. Kao, K.-D. Tsuei, Y. Yasui, K. Kakurai, and M. R. Lees, Higgs transition from a magnetic Coulomb liquid to a ferromagnet in Yb 2 Ti 2 O 7 , Nat. Commun. 3
2012
Earlier work this paper cites.

Similar

T. Fennell, M. Kenzelmann, B. Roessli, M. K. Haas and R. J. Cava, Power-Law Correlations in the Pyrochlore Antiferromagnet, Phys. Rev. Lett. 109
2012
Cited alongside, same era.
K. A. Ross, Th. Proffen, H. A. Dabkowska, J. A. Quilliam, L. R. Yaraskavitch, J. B. Kycia and B. D. Gaulin, Lightly stuffed pyrochlore structure of single-crystalline Yb 2 Ti 2 O 7 grown by the optical floating zone technique Phys. Rev. B 86
2012
Cited alongside, same era.
R. R. P. Singh and J. Oitmaa, Corrections to Pauling residual entropy and single tetrahedron based approximations for the pyrochlore lattice Ising antiferromagnet, Phys. Rev. B 85
2012
Cited alongside, same era.
R. Applegate, N. R. Hayre, R. R. P. Singh, T. Lin, A. G. R. Day and M. J. P. Gingras, Vindication of Yb 2 Ti 2 O 7 as a Model Exchange Quantum Spin Ice, Phys. Rev. Lett. 109
2012
Cited alongside, same era.
K. Kimura, S. Nakatsuji, J. J. Wen, C. Broholm, M. B. Stone, E. Nishibori and H. Sawa, Quantum fluctuations in spin-ice like Pr 2 Zr 2 O 7 , Nature Commun. 4
2013
Cited alongside, same era.
T. Taniguchi, H. Kadowaki, H. Takatsu, B. Fåk, J. Ollivier, T. Yamazaki, T. J. Sato, H. Yoshizawa, Y. Shimura, T. Hong, K. Goto, L. R. Yaraskavitch and J. B. Kycia, Long range order and spin-liquid states of polycrystalline Tb 2+x
2013
Cited alongside, same era.
B. Tang, E. Khatami and M. Rigol, A short introduction to numerical linked-cluster expansions, Comput. Phys. Commun. 183
2013
Cited alongside, same era.
N. R. Hayre, K. A. Ross, R. Applegate, T. Lin, R. R. P. Singh, B. D. Gaulin and M. J. P. Gingras, Thermodynamic properties of Yb 2 Ti 2 O 7 pyrochlore as a function of temperature and magnetic field: Validation of a quantum spin ice exchange Hamiltonian, Phys. Rev. B 87
2013
Cited alongside, same era.
M. J. P. Gingras and P. A. McClarty, Quantum spin ice: a search for gapless quantum spin liquids in pyrochlore magnets, Rep. Prog. Phys. 77
2014
Cited alongside, same era.
Z. Hao, A. G. R. Day and M. J. P. Gingras, Bosonic many-body theory of quantum spin ice, Phys. Rev. B 90
2014
Cited alongside, same era.
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 Pr 2 Zr 2 O 7 pyrochlore, J. Cryst. Growth 402
2014
Cited alongside, same era.
Y. Kato and S. Onoda, Numerical evidence of quantum melting of spin ice: quantum-to-classical crossover, Phys. Rev. Lett. 115
2015
Cited alongside, same era.

Then

Y. Tokiwa, T. Yamashita, M. Udagawa, S. Kittaka, T. Sakakibara, D. Terazawa, Y. Shimoyama, T. Terashima, Y. Yasui, T. Shibauchi and Y. Matsuda, Possible observation of highly itinerant quantum magnetic monopoles in the frustrated pyrochlore Yb 2 Ti 2 O 7 , Nat. Commun. 7
2016
Later among the works it cites.
H. Takatsu, S. Onoda, S. Kittaka, A. Kasahara, Y. Kono, T. Sakakibara, Y. Kato, B. Fåk, J. Ollivier, J. W. Lynn, T. Taniguchi, M. Wakita and H. Kadowaki, Quadrupole Order in the Frustrated Pyrochlore Tb 2+x
2016
Later among the works it cites.
S. Petit, E. Lhotel, B. Canals, M. Ciomaga Hatnean, J. Ollivier, H. Muttka, E. Ressouche, A. R. Wildes, M. R. Lees and G. Balakrishnan, Observation of magnetic fragmentation in spin ice, Nature Phys. 12
2016
Later among the works it cites.
R. Sibille, E. Lhotel, M. Ciomaga Hatnean, G. Balakrishnan, B. Fåk, N. Gauthier, T. Fennell and M. Kenzelmann, Candidate quantum Spin Ice in the Pyrochlore Pr 2 Hf 2 O 7 , Phys. Rev. B 94
2016
Later among the works it cites.
V. K. Anand, L. Opherden, J. Xu, D. T. Adroja, A. T. M. N. Islam, T. Hermannsdorfer, J. Hornung, R. Schönemann, M. Uhlarz, H. C. Walker, N. Casati and B. Lake, Physical properties of the candidate quantum spin-ice system Pr 2 Hf 2 O 7 , Phys. Rev. B 94
2016
Later among the works it cites.
S. Petit, E. Lhotel, S. Guitteny, O. Florea, J. Robert, P. Bonville, I. Mirebeau, J. Ollivier, H. Mutka, E. Ressouche, C. Decorse, M. Ciomaga Hatnean and G. Balakrishnan, Antiferroquadrupolar correlations in the quantum spin ice candidate Pr 2 Zr 2 O 7 , Phys. Rev. B 94
2016
Later among the works it cites.
J. Röchner, L. Balents and K. P. Schmidt, Spin liquid and quantum phase transition without symmetry breaking in a frustrated three-dimensional Ising model, Phys. Rev. B 94
2016
Later among the works it cites.
Y. Wan, J. Carrasquilla and R. G. Melko, Spinon Walk in Quantum Spin Ice, Phys. Rev. Lett. 116
2016
Later among the works it cites.
S. Kourtis and C. Castelnovo, Free coherent spinons in quantum square ice, Phys. Rev. B 94
2016
Later among the works it cites.
Magnetic properties and crystal field in Pr 2 Zr 2 O 7 , Phys. Rev. B 94
P. Bonville, S. Guitteny, A. Gukasov, I. Mirebeau, S. Petit, C. Decorse, M. Ciomaga Hatnean and G. Balakrishnan, · 2016
Later among the works it cites.
L. Savary and L. Balents, Quantum spin liquids: a review, Rep. Prog. Phys. 80
2017
Closest in time.
H. Zhou, K. Kanoda and T.-K. Ng, Quantum spin liquid states, Rev. Mod. Phys. 89
2017
Closest in time.
J. D. Thompson, P. A. McClarty, D. Prabhakaran, I. Cabrera, T. Guidi and R. Coldea, Quasiparticle breakdown and Spin Hamiltonian of the Frustrated Quantum Pyrochlore Yb 2 Ti 2 O 7 in a Magnetic Field, Phys. Rev. Let.. 119
2017
Closest in time.
K. E. Arpino, B. A. Trump, A. O. Scheie, T. M. McQueen and S. M. Koohpayeh, Impact of Stoichiometry of Yb 2 Ti 2 O 7 on its physical properties, Phys. Rev. B 95
2017
Closest in time.
A. Mostaed, G. Balakrishnan, M. R. Lees, Y. Yasui, L. J. Chang and R. Beanland, Atomic structure study of the pyrochlore magnet Yb 2 Ti 2 O 7 and its relationship with low-temperature magnetic order, Phys. Rev. B 95
2017
Closest in time.
L. Savary and L. Balents, Disorder-Induced Quantum Spin Liquid in Spin Ice Pyrochlores, Phys. Rev. Lett. 118
2017
Closest in time.
J. J. Wen, S. M. Koohpayeh, K. A. Ross, B. A. Trump, T. M. McQueen, K. Kimura, S. Nakatsuji, Y. Qiu, D. M. Pajerowski, J. R. D. Copley and C. L. Broholm, Disordered Route to the Coulomb Quantum Spin Liquid: Random Transverse Fields on Spin Ice in Pr 2 Zr 2 O 7 , Phys. Rev. Lett. 118
2017
Closest in time.
Disorder and Quantum Spin Ice, Phys. Rev. X 7
N. Martin, P. Bonville, E. Lhotel, S. Guitteny, A. Wildes, C. Decorse, M. Ciomaga Hatnean, G. Balakrishnan, I. Mirebeau and S. Petit, · 2017
Closest in time.
Data from plots in other published works was extracted using WebPlotDigitizer
2017
Closest in time.
R. Sibille, N. Gauthier, H. Yan, M. Ciomaga Hatnean, J. Ollivier, B. Winn, G. Balakrishnan, M. Kenzelmann, N. Shannon and T. Fennell, Experimental signatures of emergent quantum electrodynamics in Pr 2 Hf 2 O 7 , Nature Phys. (2018)
2018
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…