Schrodinger Fermi liquids
Name
Wang-2014-Schrodinger Fermi liquids.pdf
Size
1.24 MB
Format
Adobe PDF
Checksum (MD5)
620c904110e27869a312a5e6e8694f47
Author(s)
Wang, Juven
Date Issued
February 2014
Journal
Physical Review D
Publisher
American Physical Society
Citation
Wang, Juven. “Schrodinger Fermi Liquids.” Phys. Rev. D 89, no. 4 (February 2014). © 2014 American Physical Society
Version
Final published version
Abstract
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 Schrödinger 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 β at zero temperature. On the larger β side, we find the signal of a sharp quasiparticle pole on the spectral function A(k,ω), indicating a well-defined Fermi surface. On the smaller β side, we find only a hump with no sharp peak for A(k,ω), indicating the disappearance of the Fermi surface. The dynamical exponent z of quasiparticle dispersion goes from being Fermi-liquid-like z ≃ 1 scaling at larger β to a non-Fermi-liquid scaling z ≃ 3/2 at smaller β. 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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.89.046008
