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Title: Dirac Composite Fermions at the Half-Filled Landau Level (invited).

Abstract

Abstract not provided.

Authors:
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1372754
Report Number(s):
SAND2016-6913C
645884
DOE Contract Number:
AC04-94AL85000
Resource Type:
Conference
Resource Relation:
Conference: Proposed for presentation at the 33rd International Conference on the Physics of Semiconductors held July 31 - August 5, 2016 in Beijing, China.
Country of Publication:
United States
Language:
English

Citation Formats

Pan, Wei. Dirac Composite Fermions at the Half-Filled Landau Level (invited).. United States: N. p., 2016. Web.
Pan, Wei. Dirac Composite Fermions at the Half-Filled Landau Level (invited).. United States.
Pan, Wei. 2016. "Dirac Composite Fermions at the Half-Filled Landau Level (invited).". United States. doi:. https://www.osti.gov/servlets/purl/1372754.
@article{osti_1372754,
title = {Dirac Composite Fermions at the Half-Filled Landau Level (invited).},
author = {Pan, Wei},
abstractNote = {Abstract not provided.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = 2016,
month = 7
}

Conference:
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  • We calculate the effect of infrared fluctuations of the Chern-Simons gauge field on the single-particle Green{close_quote}s function of composite fermions in the half-filled Landau level via higher-dimensional bosonization on a curved Fermi surface. We find that composite fermions remain well-defined quasiparticles, with an effective mass given by the mean-field value, but with anomalously large damping and a spectral function that contains considerable weight away from the quasiparticle peak. {copyright} {ital 1997} {ital The American Physical Society}
  • Fluctuations of the Chern-Simons gauge field in the composite Fermi liquid description of the half-filled Landau level are pair breaking in all angular momentum channels. For short-range electron-electron interactions these fluctuations are sufficiently strong to drive any T=0 pairing transition first order. For Coulomb interactions these fluctuations are weaker and a continuous transition is possible. {copyright} {ital 1999} {ital The American Physical Society }
  • Cited by 1
  • Taking into account the transverse gauge-field fluctuations, which interact with composite fermions, we examine the finite-temperature compressibility of the fermions as a function of an effective magnetic field {Delta}{ital B}={ital B}{minus}2{ital n}{sub {ital e}}{ital hc}/{ital e} ({ital n}{sub {ital e}} is the density of electrons) near the half-filled state. It is shown that, after including the lowest-order gauge-field correction, the compressibility becomes {partial_derivative}{ital n}/{partial_derivative}{mu}{proportional_to}{ital e}{sup {minus}{Delta}{omega}}{sub {ital c}}/2{ital T}[1 +[{ital A}({eta})/({eta}{minus}1)]({Delta}{omega}{sub {ital c}}){sup 2/(1+{eta})}/{ital T}] for {ital T}{much_lt}{Delta}{omega}{sub {ital c}}, where {Delta}{omega}{sub {ital c}}={ital e}{Delta}{ital B}/{ital mc}. Here we assume that the interaction between the fermions is given by {italmore » v}({bold q})={ital V}{sub 0}/{ital q}{sup 2{minus}{eta}} (1{le}{eta}{le}2), where {ital A}({eta}) is an {eta}-dependent constant. This result can be interpreted as a divergent correction to the activation energy gap and is consistent with the divergent renormalization of the effective mass of the composite fermions.« less