Ground state phase diagram of 2D electrons in high magnetic field

Naokazu Shibata; Daijiro Yoshioka

doi:10.1016/j.physe.2003.11.228

Ground state phase diagram of 2D electrons in high magnetic field

Naokazu Shibata, Daijiro Yoshioka

Research output: Contribution to journal › Conference article › peer-review

3 Citations (Scopus)

Abstract

The ground state phase diagram of two-dimensional electrons in high magnetic field is studied by the density matrix renormalization group (DMRG) method. The low-energy excitations and pair correlation functions in Landau levels of N = 0,1,2 are calculated for wide range of fillings. The obtained results for systems with up to 25 electrons confirm the existence of various electronic states in quantum Hall systems, and the ground state phase diagram for N = 0,1,2 consisting of incompressible liquids, compressible liquids, charge density waves called stripe, bubble and Wigner crystal is determined.

Original language	English
Pages (from-to)	111-114
Number of pages	4
Journal	Physica E: Low-Dimensional Systems and Nanostructures
Volume	22
Issue number	1-3
DOIs	https://doi.org/10.1016/j.physe.2003.11.228
Publication status	Published - 2004 Apr
Externally published	Yes
Event	15th International Conference on ELectronic Propreties - Nara, Japan Duration: 2003 Jul 14 → 2003 Jul 18

Keywords

Bubble
DMRG
Laughlin state
Phase diagram
Stripe
Wigner crystal

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Condensed Matter Physics

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10.1016/j.physe.2003.11.228

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title = "Ground state phase diagram of 2D electrons in high magnetic field",

abstract = "The ground state phase diagram of two-dimensional electrons in high magnetic field is studied by the density matrix renormalization group (DMRG) method. The low-energy excitations and pair correlation functions in Landau levels of N = 0,1,2 are calculated for wide range of fillings. The obtained results for systems with up to 25 electrons confirm the existence of various electronic states in quantum Hall systems, and the ground state phase diagram for N = 0,1,2 consisting of incompressible liquids, compressible liquids, charge density waves called stripe, bubble and Wigner crystal is determined.",

keywords = "Bubble, DMRG, Laughlin state, Phase diagram, Stripe, Wigner crystal",

author = "Naokazu Shibata and Daijiro Yoshioka",

year = "2004",

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doi = "10.1016/j.physe.2003.11.228",

language = "English",

volume = "22",

pages = "111--114",

journal = "Physica E: Low-Dimensional Systems and Nanostructures",

issn = "1386-9477",

publisher = "Elsevier",

number = "1-3",

note = "15th International Conference on ELectronic Propreties ; Conference date: 14-07-2003 Through 18-07-2003",

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TY - JOUR

T1 - Ground state phase diagram of 2D electrons in high magnetic field

AU - Shibata, Naokazu

AU - Yoshioka, Daijiro

PY - 2004/4

Y1 - 2004/4

N2 - The ground state phase diagram of two-dimensional electrons in high magnetic field is studied by the density matrix renormalization group (DMRG) method. The low-energy excitations and pair correlation functions in Landau levels of N = 0,1,2 are calculated for wide range of fillings. The obtained results for systems with up to 25 electrons confirm the existence of various electronic states in quantum Hall systems, and the ground state phase diagram for N = 0,1,2 consisting of incompressible liquids, compressible liquids, charge density waves called stripe, bubble and Wigner crystal is determined.

AB - The ground state phase diagram of two-dimensional electrons in high magnetic field is studied by the density matrix renormalization group (DMRG) method. The low-energy excitations and pair correlation functions in Landau levels of N = 0,1,2 are calculated for wide range of fillings. The obtained results for systems with up to 25 electrons confirm the existence of various electronic states in quantum Hall systems, and the ground state phase diagram for N = 0,1,2 consisting of incompressible liquids, compressible liquids, charge density waves called stripe, bubble and Wigner crystal is determined.

KW - Bubble

KW - DMRG

KW - Laughlin state

KW - Phase diagram

KW - Stripe

KW - Wigner crystal

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U2 - 10.1016/j.physe.2003.11.228

DO - 10.1016/j.physe.2003.11.228

M3 - Conference article

AN - SCOPUS:1842735077

SN - 1386-9477

VL - 22

SP - 111

EP - 114

JO - Physica E: Low-Dimensional Systems and Nanostructures

JF - Physica E: Low-Dimensional Systems and Nanostructures

IS - 1-3

T2 - 15th International Conference on ELectronic Propreties

Y2 - 14 July 2003 through 18 July 2003

ER -

Ground state phase diagram of 2D electrons in high magnetic field

Abstract

Keywords

ASJC Scopus subject areas

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