The Hofstadter energy spectrum for an interacting 2DEG

Vidar Gudmundsson; Rolf R. Gerhardts

doi:10.1016/0039-6028(96)00456-6

The Hofstadter energy spectrum for an interacting 2DEG

Vidar Gudmundsson
, Rolf R. Gerhardts

Faculty of Physical Sciences

University of Iceland

Research output: Contribution to journal › Article › peer-review

Abstract

We studied the effects of the Coulomb interactions between electrons on the Hofstadter butterfly, which characterizes the subband structure of the Landau levels of a two-dimensional electron gas in a perpendicular homogeneous magnetic field and a periodic lateral superlattice potential. The interactions essentially preserve the intricate gap structure of the Hofstadter spectra, but with a lower symmetry that depends on the filling of the Landau bands. For short enough periods and strong enough modulation the miniband structure can be resolved in the thermodynamic density of states.

Original language	English
Pages (from-to)	505-508
Number of pages	4
Journal	Surface Science
Volume	361-362
DOIs	https://doi.org/10.1016/0039-6028(96)00456-6
Publication status	Published - 20 Jul 1996

Other keywords

Electron density
Excitation spectra calculations
Gallium arsenide
Heterojunctions
Interface states
Magnetic phenomena
Many body and quasi-particle theories
Quantum effects
Superlattices

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10.1016/0039-6028(96)00456-6

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title = "The Hofstadter energy spectrum for an interacting 2DEG",

abstract = "We studied the effects of the Coulomb interactions between electrons on the Hofstadter butterfly, which characterizes the subband structure of the Landau levels of a two-dimensional electron gas in a perpendicular homogeneous magnetic field and a periodic lateral superlattice potential. The interactions essentially preserve the intricate gap structure of the Hofstadter spectra, but with a lower symmetry that depends on the filling of the Landau bands. For short enough periods and strong enough modulation the miniband structure can be resolved in the thermodynamic density of states.",

keywords = "Electron density, Excitation spectra calculations, Gallium arsenide, Heterojunctions, Interface states, Magnetic phenomena, Many body and quasi-particle theories, Quantum effects, Superlattices",

author = "Vidar Gudmundsson and Gerhardts, \{Rolf R.\}",

note = "Funding Information: This research was supported in part by the Icelandic Natural Science Foundation, the University of Iceland Research Fund, and a NATO collaborative research Grant No. CRG 921204.",

year = "1996",

month = jul,

day = "20",

doi = "10.1016/0039-6028(96)00456-6",

language = "English",

volume = "361-362",

pages = "505--508",

journal = "Surface Science",

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TY - JOUR

T1 - The Hofstadter energy spectrum for an interacting 2DEG

AU - Gudmundsson, Vidar

AU - Gerhardts, Rolf R.

N1 - Funding Information: This research was supported in part by the Icelandic Natural Science Foundation, the University of Iceland Research Fund, and a NATO collaborative research Grant No. CRG 921204.

PY - 1996/7/20

Y1 - 1996/7/20

N2 - We studied the effects of the Coulomb interactions between electrons on the Hofstadter butterfly, which characterizes the subband structure of the Landau levels of a two-dimensional electron gas in a perpendicular homogeneous magnetic field and a periodic lateral superlattice potential. The interactions essentially preserve the intricate gap structure of the Hofstadter spectra, but with a lower symmetry that depends on the filling of the Landau bands. For short enough periods and strong enough modulation the miniband structure can be resolved in the thermodynamic density of states.

AB - We studied the effects of the Coulomb interactions between electrons on the Hofstadter butterfly, which characterizes the subband structure of the Landau levels of a two-dimensional electron gas in a perpendicular homogeneous magnetic field and a periodic lateral superlattice potential. The interactions essentially preserve the intricate gap structure of the Hofstadter spectra, but with a lower symmetry that depends on the filling of the Landau bands. For short enough periods and strong enough modulation the miniband structure can be resolved in the thermodynamic density of states.

KW - Electron density

KW - Excitation spectra calculations

KW - Gallium arsenide

KW - Heterojunctions

KW - Interface states

KW - Magnetic phenomena

KW - Many body and quasi-particle theories

KW - Quantum effects

KW - Superlattices

UR - https://www.scopus.com/pages/publications/0030192740

U2 - 10.1016/0039-6028(96)00456-6

DO - 10.1016/0039-6028(96)00456-6

M3 - Article

SN - 0039-6028

VL - 361-362

SP - 505

EP - 508

JO - Surface Science

JF - Surface Science

ER -

The Hofstadter energy spectrum for an interacting 2DEG

Abstract

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