scholarly journals Interacting Fermi Liquid in Two Dimensions at Finite Temperature. Part II: Renormalization

2000 ◽  
Vol 215 (2) ◽  
pp. 291-341 ◽  
Author(s):  
M. Disertori ◽  
V. Rivasseau
1984 ◽  
Vol 56 (5-6) ◽  
pp. 499-522 ◽  
Author(s):  
K. Miyake ◽  
W. J. Mullin

2001 ◽  
Vol 2 (4) ◽  
pp. 733-806 ◽  
Author(s):  
M. Disertori ◽  
J. Magnen ◽  
V. Rivasseau

2020 ◽  
Vol 5 (1) ◽  
Author(s):  
Xiao Yan Xu ◽  
Avraham Klein ◽  
Kai Sun ◽  
Andrey V. Chubukov ◽  
Zi Yang Meng

Abstract Quantum Monte Carlo (QMC) simulations of correlated electron systems provide unbiased information about system behavior at a quantum critical point (QCP) and can verify or disprove the existing theories of non-Fermi liquid (NFL) behavior at a QCP. However, simulations are carried out at a finite temperature, where quantum critical features are masked by finite-temperature effects. Here, we present a theoretical framework within which it is possible to separate thermal and quantum effects and extract the information about NFL physics at T = 0. We demonstrate our method for a specific example of 2D fermions near an Ising ferromagnetic QCP. We show that one can extract from QMC data the zero-temperature form of fermionic self-energy Σ(ω) even though the leading contribution to the self-energy comes from thermal effects. We find that the frequency dependence of Σ(ω) agrees well with the analytic form obtained within the Eliashberg theory of dynamical quantum criticality, and obeys ω2/3 scaling at low frequencies. Our results open up an avenue for QMC studies of quantum critical metals.


2002 ◽  
Vol 88 (16) ◽  
Author(s):  
Guido Schmid ◽  
Synge Todo ◽  
Matthias Troyer ◽  
Ansgar Dorneich

2019 ◽  
Vol 99 (12) ◽  
Author(s):  
Kazuhiro Seki ◽  
Yuichi Otsuka ◽  
Seiji Yunoki ◽  
Sandro Sorella

2001 ◽  
Vol 64 (5) ◽  
Author(s):  
Gennady Y. Chitov ◽  
Andrew J. Millis

2010 ◽  
Vol 44 (2) ◽  
pp. 025401 ◽  
Author(s):  
L V Belvedere ◽  
R L P G Amaral ◽  
K D Rothe ◽  
A F Rodrigues

1977 ◽  
Vol 16 (5) ◽  
pp. 1933-1943 ◽  
Author(s):  
G. M. Carneiro ◽  
C. J. Pethick

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