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Title: Nematic fluctuations balancing the zoo of phases in half-filled quantum Hall systems

Authors:
; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1348043
Grant/Contract Number:
SC0010313
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 95; Journal Issue: 12; Related Information: CHORUS Timestamp: 2017-03-23 22:09:48; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Mesaros, Andrej, Lawler, Michael J., and Kim, Eun-Ah. Nematic fluctuations balancing the zoo of phases in half-filled quantum Hall systems. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.95.125127.
Mesaros, Andrej, Lawler, Michael J., & Kim, Eun-Ah. Nematic fluctuations balancing the zoo of phases in half-filled quantum Hall systems. United States. doi:10.1103/PhysRevB.95.125127.
Mesaros, Andrej, Lawler, Michael J., and Kim, Eun-Ah. Thu . "Nematic fluctuations balancing the zoo of phases in half-filled quantum Hall systems". United States. doi:10.1103/PhysRevB.95.125127.
@article{osti_1348043,
title = {Nematic fluctuations balancing the zoo of phases in half-filled quantum Hall systems},
author = {Mesaros, Andrej and Lawler, Michael J. and Kim, Eun-Ah},
abstractNote = {},
doi = {10.1103/PhysRevB.95.125127},
journal = {Physical Review B},
number = 12,
volume = 95,
place = {United States},
year = {Thu Mar 23 00:00:00 EDT 2017},
month = {Thu Mar 23 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevB.95.125127

Citation Metrics:
Cited by: 2works
Citation information provided by
Web of Science

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  • Cited by 10
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  • The Fermi hypernetted-chain theory is applied to study the half-filled state of the fractional quantum Hall effect in the thermodynamic limit. We study in detail the radial distribution function, the correlation energy, and the quasiparticle-quasihole excitation spectrum of an unprojected Fermi wave function of the form {psi}{sub {nu}=1/2}{sup Fermi}={Pi}{sub j{lt}k}{sup N}(z{sub j}{minus}z{sub k}){sup 2}thinspDet{l_brace}{phi}{sub {rvec k}}({rvec r}){r_brace}, a possible candidate to describe the half-filled state. Adopting a technique originating from nuclear physics, we compute the effective mass of the fermion excitations near the Fermi surface for this wave function. We find it to be exactly the bare mass of themore » electron, in accordance with the mean field approximation of not imposing the lowest Landau level constraint. Similar calculations were performed on other related wave functions, which, based on the composite fermion picture, describe the half-filled state of the electrons as a limit of infinite-filled composite fermion Landau levels. {copyright} {ital 1998} {ital The American Physical Society}« less
  • Quantum phases and phase transitions of weakly to strongly interacting bosonic atoms in deep to shallow optical lattices are described by a single multiorbital mean-field approach in real space. For weakly interacting bosons in one dimension, the critical value of the superfluid to Mott insulator (MI) transition found is in excellent agreement with many-body treatments of the Bose-Hubbard model. For strongly interacting bosons (i) additional MI phases appear, for which two (or more) atoms residing in each site undergo a Tonks-Girardeau-like transition and localize, and (ii) on-site excitation becomes the excitation lowest in energy. Experimental implications are discussed.