Quantum phase transitions between a class of symmetry protected topological states

DOI10.1016/j.nuclphysb.2015.04.020zbMath1331.82019arXiv1503.06794OpenAlexW2142519843MaRDI QIDQ5964126

Lokman Tsui, Dung-Hai Lee, Hong-Chen Jiang, Yuan-Ming Lu

Publication date: 26 February 2016

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.06794

Mathematics Subject Classification ID

Cohomology of groups (20J06) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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A holographic theory for the phase transitions between fermionic symmetry-protected topological states, The phase transitions between \(Z_{n}\times Z_{n}\) bosonic topological phases in 1+1D, and a constraint on the central charge for the critical points between bosonic symmetry protected topological phases

Cites Work

• Two soluble models of an antiferromagnetic chain
• Critical theories of phase transition between symmetry protected topological states and their relation to the gapless boundary theories
• Entanglement entropy and quantum field theory
• A time-reversal invariant topological phase at the surface of a 3D topological insulator