2002/09/30 by Daniel G. Barci, Luis E. Oxman, L. E. Oxman · 1 citation
Mathematics · Physics and Astronomy · #Anisotropy #Bosonization #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Curvature #Dispersion relation #Electron #Fermi liquid theory #Fermi surface #Fermion #Geometry #Isotropy #Landau quantization #Mathematics #Nonlinear system #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #cond-mat.str-el #hep-th
paper · pdf · doi:10.1103/physrevb.67.205108
published as Phys. Rev. B 67, 205108 (2003) · RevTeX4, 9 pages, 2 eps figures, Final version as appeared in Phys.Rev. B
openalex publication_date 2003/05/23 · arxiv created 2003/05/26 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Using the bosonization approach, we study fermionic systems with a nonlinear dispersion relation in dimension d>~2. We explicitly show how the band curvature gives rise to interaction terms in the bosonic version of the model. Although these terms are perturbatively irrelevant in relation to the Landau Fermi-liquid fixed point, they become relevant perturbations when instabilities take place. Using a coherent-state path-integral technique, we built up the effective action that governs the dynamics of the Fermi-surface fluctuations. We consider the combined effect of fermionic interactions and band curvature on possible anisotropic phases triggered by negative Landau parameters (Pomeranchuck instabilities). In particular, we study in some detail the phase diagram for the isotropic/nematic/hexatic quantum phase transition.