A single-particle path integral for composite fermions and the renormalization of the effective mass
To study composite fermions around an even denominator fraction, we adapt the phase space single-particle path integral technique for interacting electrons in zero magnetic field developed recently by D.S. Golubev and A.D. Zaikin, Phys. Rev. B {\bf 59}, 9195 (1999). This path integral description gi...
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09.01.2001
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Abstract | To study composite fermions around an even denominator fraction, we adapt the
phase space single-particle path integral technique for interacting electrons
in zero magnetic field developed recently by D.S. Golubev and A.D. Zaikin,
Phys. Rev. B {\bf 59}, 9195 (1999). This path integral description gives an
intuitive picture of composite fermion propagation very similar to the
Caldeira-Leggett treatment of a particle interacting with an external
environment. We use the new description to explain the origin of the famous
cancellation between the self-energy and the vertex corrections in
semi-classical transport measurements. The effective range of the cancellation
is given by the size of the propagating particle, which for the Coulomb
interaction scales with the temperature T as T^{-1/4} |log T|^{-1} in the
semi-classical limit. Using this scheme we find that the effective mass in the
semi-classical limit for composite fermions in GaAs is approximately 6 times
the bare mass. |
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AbstractList | To study composite fermions around an even denominator fraction, we adapt the
phase space single-particle path integral technique for interacting electrons
in zero magnetic field developed recently by D.S. Golubev and A.D. Zaikin,
Phys. Rev. B {\bf 59}, 9195 (1999). This path integral description gives an
intuitive picture of composite fermion propagation very similar to the
Caldeira-Leggett treatment of a particle interacting with an external
environment. We use the new description to explain the origin of the famous
cancellation between the self-energy and the vertex corrections in
semi-classical transport measurements. The effective range of the cancellation
is given by the size of the propagating particle, which for the Coulomb
interaction scales with the temperature T as T^{-1/4} |log T|^{-1} in the
semi-classical limit. Using this scheme we find that the effective mass in the
semi-classical limit for composite fermions in GaAs is approximately 6 times
the bare mass. |
Author | Eriksen, Kasper Astrup Bruus, Henrik Hedegaard, Per |
Author_xml | – sequence: 1 givenname: Kasper Astrup surname: Eriksen fullname: Eriksen, Kasper Astrup – sequence: 2 givenname: Per surname: Hedegaard fullname: Hedegaard, Per – sequence: 3 givenname: Henrik surname: Bruus fullname: Bruus, Henrik |
BackLink | https://doi.org/10.1103/PhysRevB.64.195327$$DView published paper (Access to full text may be restricted) https://doi.org/10.48550/arXiv.cond-mat/0101107$$DView paper in arXiv |
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Snippet | To study composite fermions around an even denominator fraction, we adapt the
phase space single-particle path integral technique for interacting electrons
in... |
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SubjectTerms | Physics - Mesoscale and Nanoscale Physics |
Title | A single-particle path integral for composite fermions and the renormalization of the effective mass |
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