Quantization of Hall Conductance for Interacting Electrons on a Torus

Author:

Hastings Matthew B.,Michalakis Spyridon

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference23 articles.

1. Arveson, W.: An invitation to C-Algebras, Graduate Texts in Mathematics, reprinted 1998, vol. 39, Springer-Verlag (1976) or Bratteli, O., Robinson, R.: Operator Algebras and Quantum Statistical Mechanics 2. Equilibrium States. Models in Quantum Statistical Mechanics, 2nd edn, Springer-Verlag (1996)

2. Avron, J.E.: Adiabatic Quantum Transport. In: Proceedings of Les Houches Summer School, Session LXI (1994)

3. Avron, J.E., Seiler, R.: Quantization of the Hall conductance for general, multiparticle Schrödinger Hamiltonians. Phys. Rev. Lett. 54, 259–262 (1985)

4. Bachmann, S., Michalakis, S., Nachtergaele, B., Sims, R.: Automorphic equivalence within gapped phases of quantum lattice systems. Commun. Math. Phys. 309, 835–871 (2012)

5. Bellisssard, J., van Elst, A., Shultz-Baldes, H.: The non-commutative geometry of the quantum Hall effect. J. Math. Phys. 35, 5373 (1994)

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