Devil's Staircase Phase Diagram of the Fractional Quantum Hall Effect in the Thin-Torus Limit

After more than three decades, the fractional quantum Hall effect still poses challenges to contemporary physics. Recent experiments point toward a fractal scenario for the Hall resistivity as a function of the magnetic field. Here, we consider the so-called thin-torus limit of the Hamiltonian describing interacting electrons in a strong magnetic field, restricted to the lowest Landau level, and we show that it can be mapped onto a one-dimensional lattice gas with repulsive interactions, with the magnetic field playing the role of the chemical potential. The statistical mechanics of such models leads us to interpret the sequence of Hall plateaux as a fractal phase diagram whose landscape shows a qualitative agreement with experiments.

Medienart:

E-Artikel

Erscheinungsjahr:

2016

Erschienen:

2016

Enthalten in:

Zur Gesamtaufnahme - volume:116

Enthalten in:

Physical review letters - 116(2016), 25 vom: 24. Juni, Seite 256803

Sprache:

Englisch

Beteiligte Personen:

Rotondo, Pietro [VerfasserIn]
Molinari, Luca Guido [VerfasserIn]
Ratti, Piergiorgio [VerfasserIn]
Gherardi, Marco [VerfasserIn]

Links:

Volltext

Themen:

Journal Article

Anmerkungen:

Date Completed 26.01.2018

Date Revised 26.01.2018

published: Print-Electronic

Citation Status PubMed-not-MEDLINE

doi:

10.1103/PhysRevLett.116.256803

funding:

Förderinstitution / Projekttitel:

PPN (Katalog-ID):

NLM262190540