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

scholarly journals Phase diagrams of the Kane-Mele-Hubbard model in the presence of an external magnetic field

2017 ◽  
Vol 827 ◽  
pp. 012009
Author(s):  
Ya-Min Quan ◽  
Wei-Cheng Bao ◽  
Wei-Hua Wang ◽  
Da-Yong Liu
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Hubbard Model ◽  
Phase Diagrams

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.

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