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Truncation of a Two-Dimensional Fermi Surface due to Quasiparticle Gap Formation at the Saddle Points

1998/06/30 by Nobuo Furukawa, Manfred Salmhofer, T. M. Rice · 222 citations
Mathematics · Physics and Astronomy · #Condensed matter physics #Fermi Gamma-ray Space Telescope #Fermi surface #Geometry #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quasiparticle #Saddle #Saddle point #Surface (topology) #Theoretical and Computational Physics #Truncation (statistics) #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevlett.81.3195

published in Physical Review Letters 81(15), 3195-3198 (American Physical Society) · Reference added. RevTeX 4 pages incl. 4 ps files

arxiv created 1998/08/21 · openalex publication_date 1998/10/12 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study a two-dimensional Fermi liquid with a Fermi surface containing the saddle points (\ensuremathπ,0) and (0,\ensuremathπ). Including Cooper and Peierls channel contributions leads to a one-loop renormalization group flow to strong coupling for short range repulsive interactions. In a certain parameter range the characteristics of the fixed point, opening of a spin and charge gap, and dominant pairing correlations are similar to those of a two-leg ladder at half-filling. We argue that an increase of the electron density leads to a truncation of the Fermi surface to only four disconnected arcs.

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