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A single-particle path integral for composite fermions and the renormalization of the effective mass | | Kasper Astrup Eriksen
; Per Hedegaard
; Henrik Bruus
; | | Date: |
9 Dec 2000 | | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall | | 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 {f 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. | | Source: | arXiv, cond-mat/0101107 | | Services: | Forum | Review | PDF | Favorites | |
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