Quantized Berry phase in twisted Bloch momentum space as a topological order parameter for spin chains

DOI10.1016/J.PHYSLETA.2013.03.021zbMath1292.81065OpenAlexW1971551683MaRDI QIDQ2015453

Yu-Quan Ma, Deng-Shan Wang, Xiang-Gui Li, Zhao-Xian Yu

Publication date: 23 June 2014

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2013.03.021

zbMATH Keywords

geometric phasequantum phase transitionslocal gauge transformationquantized spin chain modeltopological \(Z_2\) order

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Spinor and twistor methods applied to problems in quantum theory (81R25) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Statistical thermodynamics (82B30)

Related Items (1)

Geometry of quantum phase transitions

Cites Work

• Unnamed Item
• Berry phase effects on electronic properties
• Quantised adiabatic charge transport in the presence of substrate disorder and many-body interaction
• Quantal phase factors accompanying adiabatic changes
• Quantum Phase Transitions

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