A HYBRID MONTE CARLO STUDY OF THE SU-SCHRIEFFER-HEEGER MODEL

1994 ◽  
Vol 05 (03) ◽  
pp. 459-481 ◽  
Author(s):  
MARCIA G. DO AMARAL ◽  
C. ARAGÃO DE CARVALHO
Keyword(s):  
Phase Diagram ◽  
Monte Carlo ◽  
Phase Space ◽  
Chemical Potential ◽  
Monte Carlo Study ◽  
Fermion Mass ◽  
Coupling Constant ◽  
Hybrid Monte Carlo ◽  
Expectation Value ◽  
Fermionic Fields

We study, using the Hybrid Monte Carlo Method, the behavior of the spinless SuSchrieffer-Heeger model that describes conducting polymers, as a function of the Yukawa coupling constant, the fermion mass and the chemical potential, which simulates doping. We measure the expectation value of the bosonic fields, φ, and of the fermionic fields, [Formula: see text], in the phase space of all parameters. We exhibit the phase diagram of the theory and look for the presence of solitons, polarons and bipolarons in the configurations generated.

Monte Carlo Study of Lattice QCD with Wilson fermions at Finite Temperature and Chemical Potential

2007 ◽  
Vol 22 (07n10) ◽  
pp. 529-536
Author(s):  
He-Sheng Chen ◽  
Xiang-Qian Luo
Keyword(s):  
Phase Transition ◽  
Phase Diagram ◽  
Monte Carlo ◽  
Finite Temperature ◽  
Large Scale ◽  
Chemical Potential ◽  
Phase Diagram Of Qcd ◽  
Monte Carlo Study ◽  
Potential Method ◽  
Transition Line

In this paper, we studied the phase diagram of QCD at finite temperature T and chemical potential μ with 4 flavor Wilson quarks. The calculations are performed on a 83 × 4 lattice using the imaginary chemical potential method. This method allows us to do large scale Monte Carlo simulations at imaginary chemical potential μ = iμI with μI < πT/3. By analytic continuation to the real chemical potential, the phase transition line on the (μ, T) plane can be determined.

scholarly journals Monte Carlo study of Dirac semimetals phase diagram

2016 ◽  
Vol 94 (20) ◽  
Author(s):  
V. V. Braguta ◽  
M. I. Katsnelson ◽  
A. Yu. Kotov ◽  
A. A. Nikolaev
Keyword(s):  
Phase Diagram ◽  
Monte Carlo ◽  
Monte Carlo Study ◽  
Dirac Semimetals

scholarly journals Quantum Monte Carlo study of the phase diagram of solid molecular hydrogen at extreme pressures

2015 ◽  
Vol 6 (1) ◽  
Author(s):  
N. D. Drummond ◽  
Bartomeu Monserrat ◽  
Jonathan H. Lloyd-Williams ◽  
P. López Ríos ◽  
Chris J. Pickard ◽  
...  
Keyword(s):  
Phase Diagram ◽  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Molecular Hydrogen ◽  
Monte Carlo Study

scholarly journals THERMODYNAMIC PROPERTIES OF A TRAPPED BOSE GAS: A DIFFUSION MONTE CARLO STUDY

2008 ◽  
Vol 22 (24) ◽  
pp. 4261-4273 ◽  
Author(s):  
S. DATTA
Keyword(s):  
Monte Carlo ◽  
Thermodynamic Properties ◽  
Temperature Variation ◽  
Quantum Monte Carlo ◽  
Chemical Potential ◽  
Monte Carlo Study ◽  
Bose Gas ◽  
Diffusion Monte Carlo ◽  
Frequency Shifts ◽  
Realistic Potential

We investigate the thermodynamic properties of a trapped Bose gas of Rb atoms interacting through a repulsive potential at low but finite temperature (kBT < μ < Tc) by Quantum Monte Carlo method based upon the generalization of Feynman-Kac method1-3 applicable to many-body systems at T=0 to finite temperatures. In this paper, we report temperature variation of condensation fraction, chemical potential, density profile, total energy of the system, release energy, frequency shifts and moment of inertia within the realistic potential model (Morse type) for the first time by diffusion Monte Carlo technique. The most remarkable success was in achieving the same trend in the temperature variation of frequency shifts as was observed in JILA4 for both m=2 and m=0 modes. For other things, we agree with the work of Giorgini et al.,5 Pitaevskii et al.6 and Krauth.7

Phase diagram and phase transitions in the system H/Ru(0001): a Monte Carlo study

1993 ◽  
Vol 280 (1-2) ◽  
pp. 185-196 ◽  
Author(s):  
M. Sandhoff ◽  
H. Pfnür ◽  
H.-U. Everts
Keyword(s):  
Phase Diagram ◽  
Monte Carlo ◽  
Phase Transitions ◽  
Monte Carlo Study
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