Pomeranchuk and topological Fermi surface instabilities from central interactions

J. Quintanilla and A. J. Schofield
Phys. Rev. B 74, 115126 – Published 28 September 2006

Abstract

We address at the mean field level the emergence of a Pomeranchuk instability in a uniform Fermi liquid with central particle-particle interactions. We find that Pomeranchuk instabilities with all symmetries except l=1 can take place if the interaction is repulsive and has a finite range r0 of the order of the interparticle distance. We demonstrate this by solving the mean field equations analytically for an explicit model interaction, as well as numerical results for more realistic potentials. We find in addition to the Pomeranchuk instability other, subtler phase transitions in which the Fermi surface changes topology without rotational symmetry breaking. We argue that such interaction-driven topological transitions may be as generic to such systems as the Pomeranchuk instability.

    • Received 6 February 2006

    DOI:https://doi.org/10.1103/PhysRevB.74.115126

    ©2006 American Physical Society

    Authors & Affiliations

    J. Quintanilla

    • ISIS Spallation Facility, CCLRC Rutherford Appleton Laboratory, Chilton, Didcot OX11 0QX, United Kingdom

    A. J. Schofield

    • School of Physics and Astronomy, University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom

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    Issue

    Vol. 74, Iss. 11 — 15 September 2006

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