scholarly journals Interplay between superconductivity and non-Fermi liquid behavior at a quantum-critical point in a metal. V. The γ model and its phase diagram: The case γ=2

2021 ◽  
Vol 103 (18) ◽  
Author(s):  
Yi-Ming Wu ◽  
Shang-Shun Zhang ◽  
Artem Abanov ◽  
Andrey V. Chubukov
Keyword(s):  
Phase Diagram ◽  
Critical Point ◽  
Fermi Liquid ◽  
Quantum Critical Point ◽  
Liquid Behavior ◽  
Quantum Critical ◽  
Fermi Liquid Behavior

NON-FERMI LIQUID BEHAVIOR IN THE SINGLE-IMPURITY MIXED VALENCE PROBLEM

1995 ◽  
Vol 09 (23) ◽  
pp. 1527-1533
Author(s):  
GUANG-MING ZHANG ◽  
ZHAO-BIN SU ◽  
LU YU
Keyword(s):  
Critical Point ◽  
Fermi Liquid ◽  
Mixed Valence ◽  
Quantum Critical Point ◽  
Coulomb Interactions ◽  
Single Impurity ◽  
Liquid Behavior ◽  
New Type ◽  
Quantum Critical ◽  
Fermi Liquid Behavior

An effective Hamiltonian of the Anderson single-impurity model with finite-range Coulomb interactions is derived near a particular limit, which is analogous to the Toulouse limit of the ordinary Kondo problem, and the physical properties around the mixed valence quantum critical point are calculated. At this quantum critical point, the local moment is only partially quenched and X-ray edge singularities are exhibited. Around this point, a new type of non-Fermi liquid behavior is predicted with an extra specific heat C imp ~ T1/4 + AT ln T and spin-susceptibility χ imp ~T−3/4 + B ln T.

scholarly journals Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point

2017 ◽  
Vol 114 (19) ◽  
pp. 4905-4910 ◽  
Author(s):  
Samuel Lederer ◽  
Yoni Schattner ◽  
Erez Berg ◽  
Steven A. Kivelson
Keyword(s):  
Critical Point ◽  
Transition Metal Oxides ◽  
Quantum Monte Carlo ◽  
Fermi Liquid ◽  
Quantum Critical Point ◽  
Low Frequency ◽  
Critical Fluctuations ◽  
Liquid Behavior ◽  
Quantum Critical ◽  
Fermi Liquid Behavior

Using determinantal quantum Monte Carlo, we compute the properties of a lattice model with spin 12 itinerant electrons tuned through a quantum phase transition to an Ising nematic phase. The nematic fluctuations induce superconductivity with a broad dome in the superconducting Tc enclosing the nematic quantum critical point. For temperatures above Tc, we see strikingly non-Fermi liquid behavior, including a “nodal–antinodal dichotomy” reminiscent of that seen in several transition metal oxides. In addition, the critical fluctuations have a strong effect on the low-frequency optical conductivity, resulting in behavior consistent with “bad metal” phenomenology.

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