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We use a recently proposed class of tensor-network states to study phase transitions in string-net models.
1905
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Z.-C. Gu, M. Levin, B. Swingle, and X.-G. Wen, “Tensor-product representations for string-net condensed states,” Phys. Rev. B 79
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M. D. Schulz, S. Dusuel, R. Orús, J. Vidal, and K. P. Schmidt, “Breakdown of a perturbed ℤ N \mathbb{Z}_{N} topological phase,” New J. Phys. 14
2012
M. D. Schulz, S. Dusuel, and J. Vidal, “Bound states in string nets,” Phys. Rev. B 94
2016
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L. Vanderstraeten, J. Haegeman, P. Corboz, and F. Verstraete, “Gradient methods for variational optimization of projected entangled-pair states,” Phys. Rev. B 94
2016
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N. Bultinck, M. Mariën, D. J. Williamson, M. B. Şahinoğlu, J. Haegeman, and F. Verstraete, “Anyons and matrix product operator algebras,” Ann. Phys. (N. Y.) 378
2017
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M. Mariën, J. Haegeman, P. Fendley, and F. Verstraete, “Condensation-driven phase transitions in perturbed string nets,” Phys. Rev. B 96
2017
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L. Vanderstraeten, M. Mariën, J. Haegeman, N. Schuch, J. Vidal, and F. Verstraete, “Bridging Perturbative Expansions with Tensor Networks,” Phys. Rev. Lett. 119
2017
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Cited alongside, same era.
M. D. Schulz, S. Dusuel, K. P. Schmidt, and J. Vidal, “Topological Phase Transitions in the Golden String-Net Model,” Phys. Rev. Lett. 110
2013
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S. H. Simon and P. Fendley, “Exactly solvable lattice models with crossing symmetry,” J. Phys. A 46
2013
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S. C. Morampudi, C. von Keyserlingk, and F. Pollmann, “Numerical study of a transition between ℤ 2 \mathbb{Z}_{2} topologically-ordered phases,” Phys. Rev. B 90
2014
Cited alongside, same era.
M. D. Schulz, S. Dusuel, G. Misguich, K. P. Schmidt, and J. Vidal, “Ising anyons with a string tension,” Phys. Rev. B 89
2014
Cited alongside, same era.
M. D. Schulz, S. Dusuel, and J. Vidal, “Russian doll spectrum in a non-Abelian string-net ladder,” Phys. Rev. B 91
2015
Cited alongside, same era.
S. Dusuel and J. Vidal, “Mean-field ansatz for topological phases with string tension,” Phys. Rev. B 92
2015
Cited alongside, same era.
M. D. Schulz and F. J. Burnell, “Frustrated topological symmetry breaking: geometrical frustration and anyon condensation,” Phys. Rev. B 94
2016
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F. J. Burnell, “Anyon Condensation and Its Applications,” Annu. Rev. Condens. Matter Phys. 9
2018
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J. Vidal, “Ising versus S U ( 2 ) 2 SU(2)_{2} string-net ladder,” Phys. Rev. B 97
2018
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S. K. Shukla, M. B. Şahinoğlu, F. Pollmann, and X. Chen, “Boson condensation and instability in the tensor network representation of string-net states,” Phys. Rev. B 98
2018
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M. T. Fishman, L. Vanderstraeten, V. Zauner-Stauber, J. Haegeman, and F. Verstraete, “Faster methods for contracting infinite two-dimensional tensor networks,” Phys. Rev. B 98
2018
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L. Vanderstraeten, B. Vanhecke, and F. Verstraete, “Residual entropies for three-dimensional frustrated spin systems with tensor networks,” Phys. Rev. E 98
2018
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G-Y. Zhu and G.-M. Zhang, “Gapless coulomb state emerging from a self-dual topological tensor-network state,” Phys. Rev. Lett. 122
2019
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D. A. Reiss and K. P. Schmidt, “Quantum robustness and phase transitions of the 3D Toric Code in a field,” SciPost Phys. 6
2019
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