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Motivated by the novel phenomena observed in the layered material $\rm SrCu_2(BO_3)_2$, the Shastry-Sutherland model (SSM) has been extensively studied as the minimal model for $\rm SrCu_2(BO_3)_2$.
B. Sriram Shastry and Bill Sutherland, “Exact ground state of a quantum mechanical antiferromagnet,” Physica B+C 108
1981
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H. Kageyama, K. Yoshimura, R. Stern, N. V. Mushnikov, K. Onizuka, M. Kato, K. Kosuge, C. P. Slichter, T. Goto, and Y. Ueda, “Exact dimer ground state and quantized magnetization plateaus in the two-dimensional spin system SrCu 2 ( BO 3 ) 2 {{\rm SrCu_{2}(BO_{3})_{2}}} ,” Phys. Rev. Lett. 82
1999
Earlier work this paper cites.
Shin Miyahara and Kazuo Ueda, “Exact dimer ground state of the two dimensional heisenberg spin system SrCu 2 ( BO 3 ) 2 {{\rm SrCu_{2}(BO_{3})_{2}}} ,” Phys. Rev. Lett. 82
1999
Earlier work this paper cites.
Hiroyuki Nojiri, Hiroshi Kageyama, Kenzo Onizuka, Yutaka Ueda, and Mitsuhiro Motokawa, “Direct observation of the multiple spin gap excitations in two-dimensional dimer system SrCu 2 ( BO 3 ) 2 {{\rm SrCu_{2}(BO_{3})_{2}}} ,” Journal of the Physical Society of Japan 68
1999
Earlier work this paper cites.
Tsutomu Momoi and Keisuke Totsuka, “Magnetization plateaus of the shastry-sutherland model for SrCu 2 ( BO 3 ) 2 {{\rm SrCu_{2}(BO_{3})_{2}}} : Spin-density wave, supersolid, and bound states,” Phys. Rev. B 62
2000
Earlier work this paper cites.
Kenzo Onizuka, Hiroshi Kageyama, Yasuo Narumi, Koichi Kindo, Yutaka Ueda, and Tsuneaki Goto, “1/3 magnetization plateau in SrCu 2 ( BO 3 ) 2 {{\rm SrCu_{2}(BO_{3})_{2}}} -stripe order of excited triplets,” Journal of the Physical Society of Japan 69
2000
Earlier work this paper cites.
Akihisa Koga and Norio Kawakami, “Quantum phase transitions in the Shastry-Sutherland
2000
Earlier work this paper cites.
Yoshihiro Takushima, Akihisa Koga, and Norio Kawakami, “Competing spin-gap phases in a frustrated quantum spin system in two dimensions,” Journal of the Physical Society of Japan 70
2001
Earlier work this paper cites.
O. Cépas, K. Kakurai, L. P. Regnault, T. Ziman, J. P. Boucher, N. Aso, M. Nishi, H. Kageyama, and Y. Ueda, “Dzyaloshinski-moriya interaction in the 2d spin gap system SrCu 2 ( BO 3 ) 2 {{\rm SrCu_{2}(BO_{3})_{2}}} ,” Phys. Rev. Lett. 87
2001
Earlier work this paper cites.
K. Kodama, M. Takigawa, M. Horvatić, C. Berthier, H. Kageyama, Y. Ueda, S. Miyahara, F. Becca, and F. Mila, “Magnetic superstructure in the two-dimensional quantum antiferromagnet SrCu 2 ( BO 3 ) 2 {{\rm SrCu_{2}(BO_{3})_{2}}} ,” Science 298
2002
Earlier work this paper cites.
Shin Miyahara and Kazuo Ueda, “Theory of the orthogonal dimer heisenberg spin model for SrCu 2 ( BO 3 ) 2 {{\rm SrCu_{2}(BO_{3})_{2}}} ,” Journal of Physics: Condensed Matter 15
2003
Earlier work this paper cites.
M Takigawa, K Kodama, M Horvatić, C Berthier, H Kageyama, Y Ueda, S Miyahara, Federico Becca, and F Mila, “The 1/8-magnetization plateau state in the 2d quantum antiferromagnet SrCu 2 ( BO 3 ) 2 {{\rm SrCu_{2}(BO_{3})_{2}}} : spin superstructure, phase transition, and spin dynamics studied by high-field nmr,” Physica B: Condensed Matter 346
2004
Earlier work this paper cites.
Olexei I. Motrunich and Ashvin Vishwanath, “Emergent photons and transitions in the O ( 3 ) \mathrm{O}(3) sigma model with hedgehog suppression,” Phys. Rev. B 70
2004
Earlier work this paper cites.
T. Rõ om, D. Hüvonen, U. Nagel, J. Hwang, T. Timusk, and H. Kageyama, “Far-infrared spectroscopy of spin excitations and dzyaloshinskii-moriya interactions in the Shastry-Sutherland
2004
Earlier work this paper cites.
Oleg A. Starykh, Akira Furusaki, and Leon Balents, “Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet,” Phys. Rev. B 72
2005
Earlier work this paper cites.
K Kodama, S Miyahara, M Takigawa, M Horvatić, C Berthier, F Mila, H Kageyama, and Y Ueda, “Field-induced effects of anisotropic magnetic interactions in SrCu 2 ( BO 3 ) 2 {{\rm SrCu_{2}(BO_{3})_{2}}} ,” Journal of Physics: Condensed Matter 17
2005
Earlier work this paper cites.
Anders W. Sandvik, “Evidence for deconfined quantum criticality in a two-dimensional Heisenberg
2007
Earlier work this paper cites.
K. P. Schmidt, J. Dorier, A. M. Läuchli, and F. Mila, “Supersolid phase induced by correlated hopping in spin- 1 / 2 1/2 frustrated quantum magnets,” Phys. Rev. Lett. 100
2008
Earlier work this paper cites.
F Levy, I Sheikin, C Berthier, M Horvatić, M Takigawa, H Kageyama, T Waki, and Y Ueda, “Field dependence of the quantum ground state in the shastry-sutherland system SrCu 2 ( BO 3 ) 2 {{\rm SrCu_{2}(BO_{3})_{2}}} ,” Europhysics Letters 81
2008
Earlier work this paper cites.
Suchitra E. Sebastian, N. Harrison, P. Sengupta, C. D. Batista, S. Francoual, E. Palm, T. Murphy, N. Marcano, H. A. Dabkowska, and B. D. Gaulin, “Fractalization drives crystalline states in a frustrated spin system,” Proceedings of the National Academy of Sciences 105
2008
Earlier work this paper cites.
Roger G. Melko and Ribhu K. Kaul, “Scaling in the fan of an unconventional quantum critical point,” Phys. Rev. Lett. 100
2008
Earlier work this paper cites.
F-J Jiang, M Nyfeler, S Chandrasekharan, and U-J Wiese, “From an antiferromagnet to a valence bond solid: evidence for a first-order phase transition,” Journal of Statistical Mechanics: Theory and Experiment 2008
2008
Earlier work this paper cites.
F. Verstraete, V. Murg, and J.I. Cirac, “Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems,” Advances in Physics 57
2008
Earlier work this paper cites.
Jie Lou, Anders W. Sandvik, and Naoki Kawashima, “Antiferromagnetic to valence-bond-solid transitions in two-dimensional SU ( N ) \text{SU}({N}) Heisenberg
2009
Earlier work this paper cites.
D. Charrier and F. Alet, “Phase diagram of an extended classical dimer model,” Phys. Rev. B 82
2010
Earlier work this paper cites.
Ribhu K. Kaul, “Quantum criticality in SU(3)
2011
Earlier work this paper cites.
Judit Romhányi, Keisuke Totsuka, and Karlo Penc, “Effect of dzyaloshinskii-moriya interactions on the phase diagram and magnetic excitations of SrCu 2 ( BO 3 ) 2 {{\rm SrCu_{2}(BO_{3})_{2}}} ,” Phys. Rev. B 83
2011
Earlier work this paper cites.
Marcelo Jaime, Ramzy Daou, Scott A. Crooker, Franziska Weickert, Atsuko Uchida, Adrian E. Feiguin, Cristian D. Batista, Hanna A. Dabkowska, and Bruce D. Gaulin, “Magnetostriction and magnetic texture to 100.75 tesla in frustrated SrCu 2 ( BO 3 ) 2 {{\rm SrCu_{2}(BO_{3})_{2}}} ,” Proceedings of the National Academy of Sciences 109
2012
Earlier work this paper cites.
R. F. Bishop, P. H. Y. Li, D. J. J. Farnell, J. Richter, and C. E. Campbell, “Frustrated heisenberg antiferromagnet on the checkerboard lattice: J 1 {J}_{1} - J 2 {J}_{2} model,” Phys. Rev. B 85
2012
Earlier work this paper cites.
Anders W. Sandvik, “Finite-size scaling and boundary effects in two-dimensional valence-bond solids,” Phys. Rev. B 85
2012
Cited alongside, same era.
M. Takigawa, M. Horvatić, T. Waki, S. Krämer, C. Berthier, F. Lévy-Bertrand, I. Sheikin, H. Kageyama, Y. Ueda, and F. Mila, “Incomplete devil’s staircase in the magnetization curve of SrCu 2 ( BO 3 ) 2 {{\rm SrCu_{2}(BO_{3})_{2}}} ,” Phys. Rev. Lett. 110
2013
Cited alongside, same era.
Y. H. Matsuda, N. Abe, S. Takeyama, H. Kageyama, P. Corboz, A. Honecker, S. R. Manmana, G. R. Foltin, K. P. Schmidt, and F. Mila, “Magnetization of SrCu 2 ( BO 3 ) 2 {{\rm SrCu_{2}(BO_{3})_{2}}} in ultrahigh magnetic fields up to 118 t,” Phys. Rev. Lett. 111
2013
Cited alongside, same era.
Siddharth A Parameswaran, Ari M Turner, Daniel P Arovas, and Ashvin Vishwanath, “Topological order and absence of band insulators at integer filling in non-symmorphic crystals,” Nature Physics 9
2013
Cited alongside, same era.
G. J. Sreejith, Stephen Powell, and Adam Nahum, “Emergent SO(5)
2019
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Y. Liu, Z. Wang, T. Sato, M. Hohenadler, C. Wang, W. Guo, and F.F. Assaad, “Superconductivity from the condensation of topological defects in a quantum spin-Hall
2019
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C. Boos, S. P. G. Crone, I. A. Niesen, P. Corboz, K. P. Schmidt, and F. Mila, “Competition between intermediate plaquette phases in SrCu 2 ( BO 3 ) 2 {{\rm SrCu_{2}(BO_{3})_{2}}} under pressure,” Phys. Rev. B 100
2019
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Jong Yeon Lee, Yi-Zhuang You, Subir Sachdev, and Ashvin Vishwanath, “Signatures of a deconfined phase transition on the Shastry-Sutherland
2019
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Bowen Zhao, Phillip Weinberg, and Anders W Sandvik, “Symmetry-enhanced discontinuous phase transition in a two-dimensional quantum magnet,” Nature Physics 15
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Matthew S. Block, Roger G. Melko, and Ribhu K. Kaul, “Fate of ℂ ℙ N − 1 \mathbb{CP}^{N-1} fixed points with q q monopoles,” Phys. Rev. Lett. 111
2013
Cited alongside, same era.
Kenji Harada, Takafumi Suzuki, Tsuyoshi Okubo, Haruhiko Matsuo, Jie Lou, Hiroshi Watanabe, Synge Todo, and Naoki Kawashima, “Possibility of deconfined criticality in su( n n ) heisenberg models at small n n ,” Phys. Rev. B 88
2013
Cited alongside, same era.
Kun Chen, Yuan Huang, Youjin Deng, A. B. Kuklov, N. V. Prokof’ev, and B. V. Svistunov, “Deconfined criticality flow in the heisenberg model with ring-exchange interactions,” Phys. Rev. Lett. 110
2013
Cited alongside, same era.
Philippe Corboz and Frédéric Mila, “Tensor network study of the Shastry-Sutherland
2013
Cited alongside, same era.
S. Haravifard, A. Banerjee, J. van Wezel, D. M. Silevitch, A. M. dos Santos, J. C. Lang, E. Kermarrec, G. Srajer, B. D. Gaulin, J. J. Molaison, H. A. Dabkowska, and T. F. Rosenbaum, “Emergence of long-range order in sheets of magnetic dimers,” Proceedings of the National Academy of Sciences 111
2014
Cited alongside, same era.
Judit Romhányi, Karlo Penc, and Ramachandran Ganesh, “Hall effect of triplons in a dimerized quantum magnet,” Nature Communications 6
2015
Cited alongside, same era.
Sumiran Pujari, Fabien Alet, and Kedar Damle, “Transitions to valence-bond solid order in a honeycomb lattice antiferromagnet,” Phys. Rev. B 91
2015
Cited alongside, same era.
S. Haravifard, D. Graf, A.E. Feiguin, C.D. Batista, J.C. Lang, D.M. Silevitch, G. Srajer, B.D. Gaulin, H.A. Dabkowska, and T.F. Rosenbaum, “Crystallization of spin superlattices with pressure and field in the layered magnet SrCu 2 ( BO 3 ) 2 {{\rm SrCu_{2}(BO_{3})_{2}}} ,” Nature communications 7
2016
Cited alongside, same era.
2019
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Pablo Serna and Adam Nahum, “Emergence and spontaneous breaking of approximate O ( 4 ) \mathrm{O}(4) symmetry at a weakly first-order deconfined phase transition,” Phys. Rev. B 99
2019
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Zhenzhong Shi, William Steinhardt, David Graf, Philippe Corboz, Franziska Weickert, Neil Harrison, Marcelo Jaime, Casey Marjerrison, Hanna A Dabkowska, Frédéric Mila, et al. , “Emergent bound states and impurity pairs in chemically doped Shastry-Sutherland
2019
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Jing Guo, Guangyu Sun, Bowen Zhao, Ling Wang, Wenshan Hong, Vladimir A. Sidorov, Nvsen Ma, Qi Wu, Shiliang Li, Zi Yang Meng, Anders W. Sandvik, and Liling Sun, “Quantum phases of SrCu 2 ( BO 3 ) 2 {{\rm SrCu_{2}(BO_{3})_{2}}} from high-pressure thermodynamics,” Phys. Rev. Lett. 124
2020
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2020
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Dirk Wulferding, Youngsu Choi, Seungyeol Lee, Mikhail A Prosnikov, Yann Gallais, Peter Lemmens, Chengchao Zhong, Hiroshi Kageyama, and Kwang-Yong Choi, “Thermally populated versus field-induced triplon bound states in the shastry-sutherland lattice srcu2 (bo3) 2,” npj Quantum Materials 6
2021
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Tokuro Shimokawa, “Signatures of finite-temperature mirror symmetry breaking in the S = 1 2 {S}{=}{\frac{1}{2}} Shastry-Sutherland
2021
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2021
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J Larrea Jiménez, SPG Crone, Ellen Fogh, Mohamed Ezzat Zayed, Rolf Lortz, Ekaterina Pomjakushina, Kaziemerzh Conder, Andreas M Läuchli, Lukas Weber, Stefan Wessel, et al. , “A quantum magnetic analogue to the critical point of water,” Nature 592
2021
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Wen-Yuan Liu, Yi-Zhen Huang, Shou-Shu Gong, and Zheng-Cheng Gu, “Accurate simulation for finite projected entangled pair states in two dimensions,” Phys. Rev. B 103
2021
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J. Ignacio Cirac, David Pérez-García, Norbert Schuch, and Frank Verstraete, “Matrix product states and projected entangled pair states: Concepts, symmetries, theorems,” Rev. Mod. Phys. 93
2021
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Tom Vieijra, Jutho Haegeman, Frank Verstraete, and Laurens Vanderstraeten, “Direct sampling of projected entangled-pair states,” Phys. Rev. B 104
2021
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Jianwei Yang, Anders W. Sandvik, and Ling Wang, “Quantum criticality and spin liquid phase in the Shastry-Sutherland
2022
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Ahmet Keleş and Erhai Zhao, “Rise and fall of plaquette order in the Shastry-Sutherland
2022
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Ling Wang, Yalei Zhang, and Anders W Sandvik, “Quantum spin liquid phase in the Shastry-Sutherland
2022
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Zhenzhong Shi, Sachith Dissanayake, Philippe Corboz, William Steinhardt, David Graf, DM Silevitch, Hanna A Dabkowska, TF Rosenbaum, Frédéric Mila, and Sara Haravifard, “Discovery of quantum phases in the Shastry-Sutherland
2022
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Bram Vanhecke, Juraj Hasik, Frank Verstraete, and Laurens Vanderstraeten, “Scaling hypothesis for projected entangled-pair states,” Phys. Rev. Lett. 129
2022
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Yi Cui, Lu Liu, Huihang Lin, Kai-Hsin Wu, Wenshan Hong, Xuefei Liu, Cong Li, Ze Hu, Ning Xi, Shiliang Li, Rong Yu, Anders W. Sandvik, and Weiqiang Yu, “Proximate deconfined quantum critical point in SrCu 2 ( BO 3 ) 2 {{\rm SrCu_{2}(BO_{3})_{2}}} ,” Science 380
2023
Closest in time.
Junsen Wang, Han Li, Ning Xi, Yuan Gao, Qing-Bo Yan, Wei Li, and Gang Su, “Plaquette singlet transition, magnetic barocaloric effect, and spin supersolidity in the shastry-sutherland model,” Phys. Rev. Lett. 131
2023
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T Nomura, P Corboz, A Miyata, S Zherlitsyn, Y Ishii, Y Kohama, YH Matsuda, A Ikeda, C Zhong, H Kageyama, et al. , “Unveiling new quantum phases in the Shastry-Sutherland
2023
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Ching-Yu Huang, Sing-Hong Chan, Ying-Jer Kao, and Pochung Chen, “Tensor network based finite-size scaling for two-dimensional ising model,” Phys. Rev. B 107
2023
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Atsushi Ueda and Masaki Oshikawa, “Finite-size and finite bond dimension effects of tensor network renormalization,” Phys. Rev. B 108
2023
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Wen-Yuan Liu, Shou-Shu Gong, Wei-Qiang Chen, and Zheng-Cheng Gu, “Emergent symmetry in quantum phase transition: From deconfined quantum critical point to gapless quantum spin liquid,” Science Bulletin 69
2024
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Xiangjian Qian and Mingpu Qin, “Absence of spin liquid phase in the J 1 − J 2 {J}_{1}-{J}_{2} heisenberg model on the square lattice,” Phys. Rev. B 109
2024
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