Néel-type antiferromagnetic skyrmionic crystals on two-dimensional square lattices investigated with optimized quantum Monte Carlo method

2021 ◽  
pp. 114978
Author(s):  
Zhaosen Liu ◽  
Hongxin Yang
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Quantum Monte Carlo ◽  
Two Dimensional ◽  
Quantum Monte Carlo Method

STUDY OF PHASE SEPARATION IN THE HUBBARD MODEL1

1991 ◽  
Vol 05 (01n02) ◽  
pp. 113-118
Author(s):  
A. Moreo
Keyword(s):  
Monte Carlo ◽  
Phase Separation ◽  
Monte Carlo Method ◽  
Quantum Monte Carlo ◽  
Chemical Potential ◽  
Repulsive Interaction ◽  
Two Dimensional ◽  
Quantum Monte Carlo Method ◽  
The Mean ◽  
Number Of Particles

We study the behavior of the mean number of particles <n> as a function of the chemical potential μ in the two dimensional Hubbard model with both attractive and repulsive interaction, using a quantum Monte Carlo method. Working at U/t=10, 4 and −4 on lattices with 4×4, 6×6 and 8×8 sites, we do not find evidence of phase separation.

The evolution of pairing correlation in the anisotropic triangular lattice

2017 ◽  
Vol 28 (10) ◽  
pp. 1750127
Author(s):  
Jingyao Wang ◽  
Yamei Zeng ◽  
Peng Wang ◽  
Ying Liang ◽  
Tianxing Ma
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Triangular Lattice ◽  
Quantum Monte Carlo ◽  
Two Dimensional ◽  
Pairing Correlation ◽  
Pairing Symmetries ◽  
Charge Transfer Salts ◽  
Quantum Monte Carlo Method ◽  
Superconducting Pairing

By using the determined quantum Monte Carlo method, we explore the evolution of the pairing correlation depending on doping and frustration in the two-dimensional Hubbard model on an anisotropic triangular lattice. In the full frustrated system where the nearest hoping term [Formula: see text] is equal to the next nearest hoping [Formula: see text], the [Formula: see text]-wave pairing dominates over [Formula: see text] as the electron filling [Formula: see text]. The [Formula: see text] superconducting pairing tends to be dominated as the frustration [Formula: see text] decreases, and the decreasing electron fillings also push the system into a possible [Formula: see text] superconducting state. Our intensive nonbiased numerical results reveal the competition between [Formula: see text] and [Formula: see text] superconducting pairing states, clarifying the different pairing symmetries in the [Formula: see text]-(BEDT-TTF)[Formula: see text] family of organic charge transfer salts.

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