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The recent progress in the optimization of two-dimensional tensor networks [H.-J.
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Ling Wang and Anders W. Sandvik, “Critical level crossings and gapless spin liquid in the square-lattice spin- 1 / 2 1/2 J 1 − J 2 {J}_{1}-{J}_{2} Heisenberg antiferromagnet,” Phys. Rev. Lett. 121
2018
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Wen-Yuan Liu, Shaojun Dong, Chao Wang, Yongjian Han, Hong An, Guang-Can Guo, and Lixin He, “Gapless spin liquid ground state of the spin- 1 2 \frac{1}{2} J 1 − J 2 {J}_{1}-{J}_{2} heisenberg model on square lattices,” Phys. Rev. B 98
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2009
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Hong-Chen Jiang, Hong Yao, and Leon Balents, “Spin liquid ground state of the spin- 1 2 \frac{1}{2} square J 1 {J}_{1} - J 2 {J}_{2} heisenberg model,” Phys. Rev. B 86
2012
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Fabio Mezzacapo, “Ground-state phase diagram of the quantum J 1 − J 2 {J}_{1}-{J}_{2} model on the square lattice,” Phys. Rev. B 86
2012
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Didier Poilblanc, Norbert Schuch, David Pérez-García, and J. Ignacio Cirac, “Topological and entanglement properties of resonating valence bond wave functions,” Phys. Rev. B 86
2012
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Wen-Jun Hu, Federico Becca, Alberto Parola, and Sandro Sorella, “Direct evidence for a gapless Z 2 {Z}_{2} spin liquid by frustrating néel antiferromagnetism,” Phys. Rev. B 88
2013
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Ling Wang, Didier Poilblanc, Zheng-Cheng Gu, Xiao-Gang Wen, and Frank Verstraete, “Constructing a gapless spin-liquid state for the spin- 1 / 2 1/2 J 1 − J 2 {J}_{1}-{J}_{2} Heisenberg model on a square lattice,” Phys. Rev. Lett. 111
2013
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Shou-Shu Gong, Wei Zhu, D. N. Sheng, Olexei I. Motrunich, and Matthew P. A. Fisher, “Plaquette ordered phase and quantum phase diagram in the spin- 1 2 \frac{1}{2} J 1 − J 2 {J}_{1}-{J}_{2} square heisenberg model,” Phys. Rev. Lett. 113
2014
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Satoshi Morita, Ryui Kaneko, and Masatoshi Imada, “Quantum spin liquid in spin-1/2 J 1 − J 2 {J}_{1}-{J}_{2} Heisenberg model on square lattice: Many-variable variational monte carlo study combined with quantum-number projections,” Journal of the Physical Society of Japan 84
2015
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R. Haghshenas and D. N. Sheng, “U(1)-symmetric infinite projected entangled-pair states study of the spin-1/2 square J 1 − J 2 {J}_{1}-{J}_{2} heisenberg model,” Phys. Rev. B 97
2018
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2018
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Philippe Corboz, Piotr Czarnik, Geert Kapteijns, and Luca Tagliacozzo, “Finite correlation length scaling with infinite projected entangled-pair states,” Phys. Rev. X 8
2018
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Marek M. Rams, Piotr Czarnik, and Lukasz Cincio, “Precise extrapolation of the correlation function asymptotics in uniform tensor network states with application to the bose-hubbard and xxz models,” Phys. Rev. X 8
2018
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Francesco Ferrari and Federico Becca, “Spectral signatures of fractionalization in the frustrated heisenberg model on the square lattice,” Phys. Rev. B 98
2018
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Kenny Choo, Titus Neupert, and Giuseppe Carleo, “Two-dimensional frustrated J 1 − J 2 {J}_{1}\text{$-$}{J}_{2} model studied with neural network quantum states,” Phys. Rev. B 100
2019
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Max Hering, Jonas Sonnenschein, Yasir Iqbal, and Johannes Reuther, “Characterization of quantum spin liquids and their spinon band structures via functional renormalization,” Phys. Rev. B 99
2019
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Hai-Jun Liao, Jin-Guo Liu, Lei Wang, and Tao Xiang, “Differentiable programming tensor networks,” Phys. Rev. X 9
2019
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Attila Szabó and Claudio Castelnovo, “Neural network wave functions and the sign problem,” Phys. Rev. Research 2
2020
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Francesco Ferrari and Federico Becca, “Gapless spin liquid and valence-bond solid in the J 1 {J}_{1} - J 2 {J}_{2} heisenberg model on the square lattice: Insights from singlet and triplet excitations,” Phys. Rev. B 102
2020
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2020
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Hao Xie, Jin-Guo Liu, and Lei Wang, “Automatic differentiation of dominant eigensolver and its applications in quantum physics,” Phys. Rev. B 101
2020
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