2012/09/30 by Umut Gürsoy, Umut Gursoy, Vivian Jacobs +3 · 32 citations
Mathematics · Physics and Astronomy · #Exponent #Fermi Gamma-ray Space Telescope #Fermi liquid theory #Fermi surface #Fermion #Holography #Phase transition #Quantum Mechanics and Non-Hermitian Physics #Scaling #Spectral Theory in Mathematical Physics #Topological Materials and Phenomena #Weyl semimetal #cond-mat.str-el #hep-th
paper · pdf · doi:10.1007/jhep04(2013)127
published in Journal of High Energy Physics 2013(4) (Springer Nature) · 64 pages, 19 figures
openalex publication_date 2013/04/01 · arxiv created 2013/04/03 · arxiv updated 2014/07/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A bstract We continue our recently proposed holographic description of single-particle correlation functions for four-dimensional chiral fermions with Lifshitz scaling at zero chemical potential, paying particular attention to the dynamical exponent z = 2. We present new results for the spectral densities and dispersion relations at non-zero momenta and temperature. In contrast to the relativistic case with z = 1, we find the existence of a quantum phase transition from a non-Fermi liquid into a Fermi liquid in which two Fermi surfaces spontaneously form, even at zero chemical potential. Our findings show that the boundary system behaves like an undoped Weyl semimetal.