scholarly journals Fermion-induced quantum critical point in Dirac semimetals: A sign-problem-free quantum Monte Carlo study

2020 ◽  
Vol 101 (8) ◽  
Author(s):  
Bo-Hai Li ◽  
Zi-Xiang Li ◽  
Hong Yao
2016 ◽  
Vol 6 (3) ◽  
Author(s):  
Yoni Schattner ◽  
Samuel Lederer ◽  
Steven A. Kivelson ◽  
Erez Berg

2007 ◽  
Vol 21 (23n24) ◽  
pp. 4196-4200
Author(s):  
HONGWEI FAN ◽  
ZHAOXIN XU ◽  
HEPING YING

The effects of bond randomness on the quantum mixed-spin chain 1-1-1/2-1/2 are investigated by a quantum Monte Carlo study. We find that around the critical point of original pure system, quantum Griffiths phases appears, and its region is enlarged with increasing of bond randomness. Moreover, the critical behavior of the original quantum critical point has been changed by the randomness.


2018 ◽  
Vol 396 ◽  
pp. 78-86 ◽  
Author(s):  
D.L. Boyda ◽  
V.V. Braguta ◽  
M.I. Katsnelson ◽  
A.Yu. Kotov

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.


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