A proof of the Bloch theorem for lattice models

DOI10.1007/s10955-019-02386-1zbMath1447.81229arXiv1904.02700OpenAlexW2931814911MaRDI QIDQ2278853

Haruki Watanabe

Publication date: 11 December 2019

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.02700

zbMATH Keywords

many-body systemsBloch theorempersistent current

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Quantum field theory on lattices (81T25) Continuum limits in quantum field theory (81T27) Many-body theory; quantum Hall effect (81V70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical thermodynamics (82B30) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (6)

Chern-Simons-matter theories at large baryon number ⋮ Thermal transport, geometry, and anomalies ⋮ On the general properties of non-linear optical conductivities ⋮ A many-body index for quantum charge transport ⋮ Rigorous index theory for one-dimensional interacting topological insulators ⋮ On the absence of stationary currents

Cites Work

• Unnamed Item
• Two no-go theorems on superconductivity
• Spectral gaps of quantum Hall systems with interactions
• A many-body index for quantum charge transport
• Two soluble models of an antiferromagnetic chain
• Information Theory and Statistical Mechanics
• Note on a Theorem of Bloch Concerning Possible Causes of Superconductivity

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