Supersymmetric structure of quantum Hall effects in graphene

DOI10.1016/J.PHYSLETA.2007.08.071zbMath1217.81173arXivcond-mat/0606084OpenAlexW2017741759MaRDI QIDQ552734

Motohiko Ezawa

Publication date: 26 July 2011

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0606084

zbMATH Keywords

quantum Hall effectsupersymmetrygraphenebilayer graphenemultilayer system

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Many-body theory; quantum Hall effect (81V70) Supersymmetry and quantum mechanics (81Q60) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Dispersion theory, dispersion relations arising in quantum theory (81U30) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (11)

Path integral and spectral representations for supersymmetric Dirac-Hamiltonians ⋮ Representation of the Coulomb matrix elements by means of Appell hypergeometric function \(F_2\) ⋮ Self-dual Maxwell-Chern-Simons solitons in a parity-invariant scenario ⋮ Algebraic aspects of the Hofstadter problem in graphene ⋮ \(\mathcal{N}\)-extended D = 4 supergravity, unconventional SUSY and graphene ⋮ Two approaches to fractional statistics in the quantum Hall effect: idealizations and the curious case of the anyon ⋮ A supersymmetric model for graphene ⋮ Composite-particles (boson, fermion) theory of fractional quantum Hall effect ⋮ Theory of the half-integer quantum Hall effect in graphene ⋮ UNUSUAL QUANTUM HALL EFFECTS, INDEX THEOREM AND SUPERSYMMETRY IN GRAPHENE ⋮ Modular operators and entanglement in supersymmetric quantum mechanics

Cites Work

• Theory of the Fermi Interaction
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