scholarly journals Phase Diagram of Semi-Hard-Core Bosons on a Square Lattice

2021 ◽  
Author(s):  
V. V. Konev ◽  
Yu. D. Panov
Keyword(s):  
Phase Diagram ◽  
Hard Core ◽  
Square Lattice

TRANSFER-MATRIX STUDY OF NEGATIVE-FUGACITY SINGULARITY OF HARD-CORE LATTICE GAS

1999 ◽  
Vol 10 (04) ◽  
pp. 517-529 ◽  
Author(s):  
SYNGE TODO
Keyword(s):  
Large Scale ◽  
Lattice Gas ◽  
Central Charge ◽  
Hard Core ◽  
Universality Class ◽  
Two Dimensions ◽  
Square Lattice ◽  
Lattice Gas Models ◽  
Renormalization Technique ◽  
Phenomenological Renormalization

A singularity on the negative-fugacity axis of the hard-core lattice gas is investigated in terms of numerical diagonalization of large-scale transfer matrices. For the hard-square lattice gas, the location of the singular point [Formula: see text] and the critical exponent ν are accurately determined by the phenomenological renormalization technique as -0.11933888188(1) and 0.416667(1), respectively. It is also found that the central charge c and the dominant scaling dimension xσ are -4.399996(8) and -0.3999996(7), respectively. Similar analyses for other hard-core lattice-gas models in two dimensions are also performed, and it is confirmed that the universality between these models does hold. These results strongly indicate that the present singularity belongs to the same universality class as the Yang–Lee edge singularity.

Phase diagram for the Lennard-Jones fluid modelled by the hard-core Yukawa fluid

1996 ◽  
Vol 87 (6) ◽  
pp. 1459-1462 ◽  
Author(s):  
Yu.V. Kalyuzhnyi ◽  
P.T. Cummings
Keyword(s):  
Phase Diagram ◽  
Hard Core ◽  
Lennard Jones ◽  
Yukawa Fluid

scholarly journals Multicritical Nishimori point in the phase diagram of the±JIsing model on a square lattice

2008 ◽  
Vol 77 (5) ◽  
Author(s):  
Martin Hasenbusch ◽  
Francesco Parisen Toldin ◽  
Andrea Pelissetto ◽  
Ettore Vicari
Keyword(s):  
Phase Diagram ◽  
Square Lattice

scholarly journals Bicritical Central Point of Ising Model Phase Diagram

2010 ◽  
Vol 2010 ◽  
pp. 1-5 ◽  
Author(s):  
Yahia Boughaleb ◽  
Mohammed Nouredine ◽  
Mohamed Snina ◽  
Rachid Nassif ◽  
Mohamed Bennai
Keyword(s):  
Phase Diagram ◽  
Order Parameter ◽  
Present Model ◽  
Central Point ◽  
Square Lattice ◽  
Ordered Structures ◽  
Ordered Phases ◽  
Algebraic Order ◽  
Pure Phases ◽  
Model Phase

We deal with a 2D half occupied square lattice with repulsive interactions between first and second neighboring particles. Despite the intensive studies of the present model the central point of the phase diagram for which the ratio of the two interaction strengths is still open. In the present paper we show, using standard Monte Carlo calculations, that the situation corresponds to a phase of mixed ordered structures quantified by an “algebraic” order parameter defined as the sum of densities of the existing ordered clusters. The introduced grandeur also characterizes the transitions towards the known pure ordered phases for the other values of as mentioned by the agreement of our results with those of the literature. The computation of the Cowley short range order parameter against suggests that the central point is bicritical and is a state to cross when passing between the two pure phases.

scholarly journals Phase diagram of hard-core bosons on clean and disordered two-leg ladders: Mott insulator–Luttinger liquid–Bose glass

2011 ◽  
Vol 84 (5) ◽  
Author(s):  
François Crépin ◽  
Nicolas Laflorencie ◽  
Guillaume Roux ◽  
Pascal Simon
Keyword(s):  
Phase Diagram ◽  
Luttinger Liquid ◽  
Hard Core ◽  
Mott Insulator ◽  
Bose Glass

scholarly journals Finite-Temperature Phase Diagram of Hard-Core Bosons in Two Dimensions

2002 ◽  
Vol 88 (16) ◽  
Author(s):  
Guido Schmid ◽  
Synge Todo ◽  
Matthias Troyer ◽  
Ansgar Dorneich
Keyword(s):  
Phase Diagram ◽  
Finite Temperature ◽  
Hard Core ◽  
Two Dimensions ◽  
Temperature Phase ◽  
Temperature Phase Diagram

scholarly journals Phase diagram of the spin-1/2J1-J2-J3Heisenberg model on the square lattice with ferromagneticJ1

2009 ◽  
Vol 145 ◽  
pp. 012048 ◽  
Author(s):  
Philippe Sindzingre ◽  
L Seabra ◽  
Nic Shannon ◽  
Tsutomu Momoi
Keyword(s):  
Phase Diagram ◽  
Square Lattice

GROUND STATE OF THE 2D EXTENDED HUBBARD MODEL WITH MORE THAN NEAREST-NEIGHBOR INTERACTIONS

2012 ◽  
Vol 26 (29) ◽  
pp. 1250156 ◽  
Author(s):  
S. HARIR ◽  
M. BENNAI ◽  
Y. BOUGHALEB
Keyword(s):  
Phase Diagram ◽  
Hubbard Model ◽  
Ground State ◽  
State Energy ◽  
Nearest Neighbor ◽  
Finite Size ◽  
Square Lattice ◽  
Extended Hubbard Model ◽  
Eigenvalues And Eigenvectors ◽  
Repulsion Energy

We investigate the ground state phase diagram of the two dimensional Extended Hubbard Model (EHM) with more than Nearest-Neighbor (NN) interactions for finite size system at low concentration. This EHM is solved analytically for finite square lattice at one-eighth filling. All eigenvalues and eigenvectors are given as a function of the on-site repulsion energy U and the off-site interaction energy Vij. The behavior of the ground state energy exhibits the emergence of phase diagram. The obtained results clearly underline that interactions exceeding NN distances in range can significantly influence the emergence of the ground state conductor–insulator transition.

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