Antiferromagnetic phase diagram based on Hubbard model under external magnetic field

1997 ◽  
Vol 282-287 ◽  
pp. 1697-1698 ◽  
Author(s):  
Seung-Pyo Hong ◽  
Hyeonjin Doh ◽  
Sung-Ho Suck Salk
Keyword(s):  
Magnetic Field ◽  
Phase Diagram ◽  
External Magnetic Field ◽  
Hubbard Model ◽  
Antiferromagnetic Phase

scholarly journals The Influence of Long-Range Hopping on Ferromagnetism in the Hubbard Model

1998 ◽  
Vol 12 (07n08) ◽  
pp. 803-808 ◽  
Author(s):  
Pavol Farkašovský
Keyword(s):  
Magnetic Field ◽  
Phase Diagram ◽  
External Magnetic Field ◽  
Hubbard Model ◽  
Long Range ◽  
General Expression ◽  
Ferromagnetic State ◽  
Critical Value ◽  
Exact Diagonalization ◽  
Matrix Elements

The phase diagram of the Hubbard model in an external magnetic field is examined by extrapolation of small-cluster exact-diagonalization calculations. Using a general expression for the hopping matrix elements (tij ~ q|i-j|) the influence of long-range hopping (band asymmetry) on ferromagnetism in this model is studied. It is found that the long-range hopping (nonzero q) stabilizes ferromagnetism in an external magnetic field for n > 1. In the opposite limit n≤1 the fully polarized ferromagnetic state is generally suppressed with increasing q. The critical value of magnetic field h below which the ferromagnetic state becomes unstable is calculated numerically.

Chiral condensate of cold dense quark matter with external magnetic field

2020 ◽  
Vol 35 (19) ◽  
pp. 2050160
Author(s):  
Song Shi ◽  
Juan Liu
Keyword(s):  
Magnetic Field ◽  
Phase Diagram ◽  
External Magnetic Field ◽  
Quark Matter ◽  
Chemical Potential ◽  
Field Approximation ◽  
Chiral Condensate ◽  
Mean Field Approximation ◽  
Dynamical Mass ◽  
Dense Quark Matter

At zero temperature and finite chemical potential, the gap equation of cold dense quark matter under external magnetic field is studied with NJL model in the mean-field approximation. By introducing new methods, it is found that the Nambu phase has sophisticated structures which have not been studied before. As a consequence, the phase diagram is expanded and divided into five areas, in each area the condensate has unique behaviors with chemical potential varying. Furthermore, the expanded phase diagram is used to predict the order of phase transition between the Nambu phase and the Wigner phase, it can also be used to explain the relations of dynamical mass and chemical potential. Meanwhile, the metastable states and cascade effect of dynamical mass are studied in this paper.

Studies on entanglement entropy for Hubbard model with hole-doping and external magnetic field

2005 ◽  
Vol 346 (1-3) ◽  
pp. 209-216 ◽  
Author(s):  
K.L. Yao ◽  
Y.C. Li ◽  
X.Z. Sun ◽  
Q.M. Liu ◽  
Y. Qin ◽  
...  
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Hubbard Model ◽  
Entanglement Entropy ◽  
Hole Doping
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