2013/01/31 by Juven Wang
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Fermi Gamma-ray Space Telescope #Mathematical physics #Physics #Quantum many-body systems #Schrödinger's cat #Statistical physics #Topological Materials and Phenomena #cond-mat.quant-gas #cond-mat.str-el #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.89.046008
published as Phys. Rev. D 89, 046008 (2014) · 26 pages, many figures of spectral functions A(k,w). v2: add a new Fig, several clarifications, and discussions about holographic renormalization. Program code shared via a URL link in the manuscript
arxiv created 2013/11/13 · openalex publication_date 2014/02/27 · arxiv updated 2014/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
A class of strongly interacting many-body fermionic systems in 2+1-dimensional nonrelativistic conformal field theory is examined via the gauge-gravity duality correspondence. The five-dimensional charged black hole with asymptotic Schr"odinger isometry in the bulk gravity side introduces parameters of background density and finite particle number into the boundary field theory. We propose the holographic dictionary, and realize a quantum phase transition of this fermionic liquid with fixed particle number by tuning the background density \ensuremathβ at zero temperature. On the larger \ensuremathβ side, we find the signal of a sharp quasiparticle pole on the spectral function A(k,\ensuremathω), indicating a well-defined Fermi surface. On the smaller \ensuremathβ side, we find only a hump with no sharp peak for A(k,\ensuremathω), indicating the disappearance of the Fermi surface. The dynamical exponent z of quasiparticle dispersion goes from being Fermi-liquid-like z\ensuremath≃1 scaling at larger \ensuremathβ to a non-Fermi-liquid scaling z\ensuremath≃3/2 at smaller \ensuremathβ. By comparing the structure of Green's function with Landau Fermi liquid theory and Senthil's scaling ansatz, we further investigate the behavior of this quantum phase transition.