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The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram.
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2018
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2011
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T. Okubo, T. H. Nguyen, and H. Kawamura, Cubic and noncubic multiple- q q states in the heisenberg antiferromagnet on the pyrochlore lattice, Phys. Rev. B 84
2011
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2011
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2011
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2012
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2013
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2014
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C. Trabelsi, O. Bilaniuk, Y. Zhang, D. Serdyuk, S. Subramanian, J. F. Santos, S. Mehri, N. Rostamzadeh, Y. Bengio, and C. J. Pal, Deep complex networks, in International Conference on Learning Representations (2018)
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2019
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2019
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K. Choo, T. Neupert, and G. 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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2019
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2019
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2019
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K. Plumb, H. J. Changlani, A. Scheie, S. Zhang, J. Krizan, J. Rodriguez-Rivera, Y. Qiu, B. Winn, R. Cava, and C. L. Broholm, Continuum of quantum fluctuations in a three-dimensional s= 1 heisenberg magnet, Nature Physics 15
2019
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2019
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P. Müller, A. Lohmann, J. Richter, and O. Derzhko, Thermodynamics of the pyrochlore-lattice quantum heisenberg antiferromagnet, Phys. Rev. B 100
2019
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K. Hwang, N. Trivedi, and M. Randeria, Topological magnons with nodal-line and triple-point degeneracies: Implications for thermal hall effect in pyrochlore iridates, Physical Review Letters 125
2020
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F. Ferrari, R. Valentí, and F. Becca, Variational wave functions for the spin-peierls transition in the su-schrieffer-heeger model with quantum phonons, Physical Review B 102
2020
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A. Szabó and C. Castelnovo, Neural network wave functions and the sign problem, Physical Review Research 2
2020
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O. Sharir, Y. Levine, N. Wies, G. Carleo, and A. Shashua, Deep autoregressive models for the efficient variational simulation of many-body quantum systems, Phys. Rev. Lett. 124
2020
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L. Yang, Z. Leng, G. Yu, A. Patel, W.-J. Hu, and H. Pu, Deep learning-enhanced variational monte carlo method for quantum many-body physics, Phys. Rev. Research 2
2020
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F. Ferrari and F. 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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O. Derzhko, T. Hutak, T. Krokhmalskii, J. Schnack, and J. Richter, Adapting planck’s route to investigate the thermodynamics of the spin-half pyrochlore heisenberg antiferromagnet, Phys. Rev. B 101
2020
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Y. Nomura and M. Imada, Dirac-type nodal spin liquid revealed by refined quantum many-body solver using neural-network wave function, correlation ratio, and level spectroscopy, Physical Review X 11
2021
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Y. Nomura, Helping restricted boltzmann machines with quantum-state representation by restoring symmetry, Journal of Physics: Condensed Matter 33
2021
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T. Westerhout, ‘lattice-symmetries‘: A package for working with quantum many-body bases, Journal of Open Source Software 6
2021
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