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Specific heat and validity of the quasiparticle approximation in the half-filled Landau level

Journal Article · · Physical Review, B: Condensed Matter
 [1];  [2]
  1. Bell Laboratories, Murray Hill, New Jersey 07974 (United States)
  2. Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

We calculate the specific heat of a composite fermion system in the half-filled Landau level. Two different methods are used to examine the validity of the quasiparticle approximation when the two-body interaction is given by {ital v}({ital q})={ital V}{sub 0}/{ital q}{sup 2{minus}{eta}} (1{le}{eta}{le}2). The singular part of the specific heat is calculated from the free energy of the gauge field, which is compared with the specific heat calculated from the quasiparticle approximation via the singular self-energy correction, due to the gauge field fluctuations. It turns out that two results are, in general, different and they coincide only for the case of the Coulomb interaction ({eta}=1). This result supports the fact that the quasiparticle approximation is valid only for the case of the Coulomb interaction. It is emphasized that this result is obtained by looking at a gauge-invariant quantity namely, the specific heat. {copyright} {ital 1996 The American Physical Society.}

OSTI ID:
286378
Journal Information:
Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 4 Vol. 54; ISSN 0163-1829; ISSN PRBMDO
Country of Publication:
United States
Language:
English

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