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We extend the formalism of Matrix Product States (MPS) to describe one-dimensional gapped systems of fermions with both unitary and anti-unitary symmetries.
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X. Chen, Z. Gu, X. Wen, “Classification of Gapped Symmetric Phases in 1D Spin Systems”, Phys. Rev. B 83, 035107 (2011)
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N. Bultinck, D. J. Williamson, J. Haegeman, and F. Verstraete, “Fermionic Matrix Product States and One-Dimensional Topological Phases,” arXiv: 1610.07849 [cond-mat.str-el]
Cited in the paper.
L. Fidkowski, A. Kitaev, “Topological Phases of Fermions in One Dimension,” Phys. Rev. B, 83
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X. Chen, Z. Gu, X. Wen, “Complete Classification of 1D Gapped Quantum Phases in Interacting Spin Systems”, Phys. Rev. B 84
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A. Kapustin, A. Turzillo, M. You, “Topological Field Theory and Matrix Product States.” Phys. Rev. B 96, 075125 (2017)
2017
Closest in time.
A. Kapustin, A. Turzillo, “Equivariant Topological Quantum Field Theory and Symmetry Protected Topological Phases,” J. High Energ. Phys. 03
2017
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A. Kapustin, A. Turzillo, M. You, “Spin Topological Field Theory and Fermionic Matrix Product States,” arXiv: 1610.10075 [cond-mat.str-el]
Cited in the paper.
K. Shiozaki, S. Ryu, “Matrix product states and equivariant topological field theories for bosonic symmetry-protected topological phases in 1+1 dimensions,” arXiv: 1607.06504 [cond-mat.str-el]
Cited in the paper.
A. Kapustin, R. Thorngren, “Fermionic SPT phases in higher dimensions and bosonization,” arXiv: 1701.08264 [cond-mat.str-el]
Cited in the paper.
N. Schuch, D. Perez-García, I. Cirac, “Classifying Quantum Phases using MPS and PEPS,” arXiv: 1010.3732 [cond-mat.str-el]
Cited in the paper.
A. Turzillo, M. You, “Duality and Stacking of Bosonic and Fermionic SPT Phases,” arXiv: 2311.18782 [cond-mat.str-el]
Cited in the paper.