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] |
---|
Links: |
---|
Themen: |
---|
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 |
---|
LEADER | 01000naa a22002652 4500 | ||
---|---|---|---|
001 | NLM262190540 | ||
003 | DE-627 | ||
005 | 20231224201220.0 | ||
007 | cr uuu---uuuuu | ||
008 | 231224s2016 xx |||||o 00| ||eng c | ||
024 | 7 | |a 10.1103/PhysRevLett.116.256803 |2 doi | |
028 | 5 | 2 | |a pubmed24n0874.xml |
035 | |a (DE-627)NLM262190540 | ||
035 | |a (NLM)27391740 | ||
040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
041 | |a eng | ||
100 | 1 | |a Rotondo, Pietro |e verfasserin |4 aut | |
245 | 1 | 0 | |a Devil's Staircase Phase Diagram of the Fractional Quantum Hall Effect in the Thin-Torus Limit |
264 | 1 | |c 2016 | |
336 | |a Text |b txt |2 rdacontent | ||
337 | |a ƒaComputermedien |b c |2 rdamedia | ||
338 | |a ƒa Online-Ressource |b cr |2 rdacarrier | ||
500 | |a Date Completed 26.01.2018 | ||
500 | |a Date Revised 26.01.2018 | ||
500 | |a published: Print-Electronic | ||
500 | |a Citation Status PubMed-not-MEDLINE | ||
520 | |a 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 | ||
650 | 4 | |a Journal Article | |
700 | 1 | |a Molinari, Luca Guido |e verfasserin |4 aut | |
700 | 1 | |a Ratti, Piergiorgio |e verfasserin |4 aut | |
700 | 1 | |a Gherardi, Marco |e verfasserin |4 aut | |
773 | 0 | 8 | |i Enthalten in |t Physical review letters |d 1985 |g 116(2016), 25 vom: 24. Juni, Seite 256803 |w (DE-627)NLM099656183 |x 1079-7114 |7 nnns |
773 | 1 | 8 | |g volume:116 |g year:2016 |g number:25 |g day:24 |g month:06 |g pages:256803 |
856 | 4 | 0 | |u http://dx.doi.org/10.1103/PhysRevLett.116.256803 |3 Volltext |
912 | |a GBV_USEFLAG_A | ||
912 | |a GBV_NLM | ||
951 | |a AR | ||
952 | |d 116 |j 2016 |e 25 |b 24 |c 06 |h 256803 |