Higher-Dimensional Bosonization with Nonlinear Energy Dispersion

1996/03/26 by Peter Kopietz, Guillermo E. Castilla · 2 citations
Computer Science · Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum Information and Cryptography #Quantum and electron transport phenomena #cond-mat

paper · pdf · doi:10.1103/physrevlett.76.4777

published as Phys.Rev.Lett.76:4777-4780,1996 · RevTex, one figure; submitted to Phys. Rev. Lett

arxiv created 1996/03/26 · openalex publication_date 1996/06/17 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We develop a systematic method to treat the effect of nonlinearity in the energy dispersion on the usual bosonization result for the single-particle Green's function of fermions in arbitrary dimension. The leading corrections due to the quadratic term in the energy dispersion are explicitly calculated. In the Chern-Simons theory for half-filled quantum Hall systems, curvature is shown to be essential.

Citations

• New Method for Calculating the One-Particle Green's Function with Application to the Electron-Gas Problem

Cited by

• Dynamic structure factor of Luttinger liquids with quadratic energy dispersion and long-range interactions
• Bosonization for a Wigner-Jordan-like transformation: Backscattering and umklapp processes on a fictitious lattice