TY - JOUR
T1 - DMRG study of the ground state at higher Landau levels - Stripes, bubbles and the Wigner crystal
AU - Yoshioka, Daijiro
AU - Shibata, Naokazu
N1 - Funding Information:
Part of the numerical calculation was performed in the ISSP, University of Tokyo. D.Y. thanks Aspen Center for Physics, where part of the work was done. The present work is supported by Grant-in-Aid No. 12640308 and No. 11740184 from MEXT, Japan.
PY - 2002/1
Y1 - 2002/1
N2 - Hartree-Fock theory predicted stripe or bubble phase in the third and higher Landau levels for two-dimensional electrons, and experimental evidence has been accumulated. In this paper theoretical confirmation of the stripe phase and bubble phase in higher Landau level is given by means of the density matrix renormalization group (DMRG) method, which can give essentially exact ground state for electron systems with up to 18 electrons. From the study of the pair correlation function, the stripe phase, bubble phase, and the Wigner crystal phase are identified, and a phase diagram is obtained. The reentrant integer quantum Hall state is identified as the bubble state. The phase diagram of the fourth Landau level shows more diversity than the third level.
AB - Hartree-Fock theory predicted stripe or bubble phase in the third and higher Landau levels for two-dimensional electrons, and experimental evidence has been accumulated. In this paper theoretical confirmation of the stripe phase and bubble phase in higher Landau level is given by means of the density matrix renormalization group (DMRG) method, which can give essentially exact ground state for electron systems with up to 18 electrons. From the study of the pair correlation function, the stripe phase, bubble phase, and the Wigner crystal phase are identified, and a phase diagram is obtained. The reentrant integer quantum Hall state is identified as the bubble state. The phase diagram of the fourth Landau level shows more diversity than the third level.
KW - Bubble
KW - CDW
KW - DMRG
KW - Higher Landau levels
KW - Strip
KW - Wigner crystal
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U2 - 10.1016/S1386-9477(01)00306-X
DO - 10.1016/S1386-9477(01)00306-X
M3 - Conference article
AN - SCOPUS:0035239584
VL - 12
SP - 43
EP - 45
JO - Physica E: Low-Dimensional Systems and Nanostructures
JF - Physica E: Low-Dimensional Systems and Nanostructures
SN - 1386-9477
IS - 1-4
T2 - 14th International Conference on the
Y2 - 30 July 2001 through 3 August 2001
ER -