Quantized Berry Phases as a Local Order Parameter of a Quantum Liquid

DOI10.1143/JPSJ.75.123601zbMath1223.82014arXivcond-mat/0603230OpenAlexW2121114691MaRDI QIDQ3095374

Yasuhiro Hatsugai

Publication date: 1 November 2011

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0603230

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (5)

Large-\(N\) Chern insulators: lattice field theory and quantum simulation approaches to correlation effects in the quantum anomalous Hall effect ⋮ Rigorous index theory for one-dimensional interacting topological insulators ⋮ Entanglement entropy distinguishes PT-symmetry and topological phases in a class of non-unitary quantum walks ⋮ The Berry phase: a topological test for the spectrum structure of frustrated quantum spin systems ⋮ Constructing Landau framework for topological order: quantum chains and ladders

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