A Hubbard model study of antiferromagnetic ground states as a function of external magnetic field

1996 ◽  
Vol 263 (1-4) ◽  
pp. 86-89 ◽  
Author(s):  
H. Doh ◽  
Sung-Ho Suck Salk
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Hubbard Model ◽  
Ground States ◽  
Model Study

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

Entanglement distribution in a two-dimensional 5-site frustrated J1−J2 spin system

2015 ◽  
Vol 13 (06) ◽  
pp. 1550047 ◽  
Author(s):  
Mojtaba Jafarpour ◽  
Soghra Ghanavati ◽  
Davood Afshar
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Ground States ◽  
Quantum Information Theory ◽  
Specific Class ◽  
Two Dimensional ◽  
Bipartite Entanglement ◽  
Separable States ◽  
Entanglement Distribution ◽  
Entanglement Structure

We have studied several ground states and their entanglement structure for a two-dimensional 5-site frustrated [Formula: see text]–[Formula: see text] system in the presence and absence of an external magnetic field. We have used concurrence as a measure of bipartite entanglement and the Meyer–Wallach measure and its generalizations as the measures of multipartite entanglement. They provide a total of eight measures which lead to 30 entanglement quantities for each possible ground state. Computing these 30 quantities for several ground states, we have provided a detailed exposition of the entanglement distribution in each state. We have also categorized them into separable states, not showing entanglement for any bipartition; globally-entangled states, showing entanglement for all the bipartitions, and the states in between. It turns out that by adjusting the external magnetic field, conditioned on the values of the interaction parameters, one may generate specific ground states belonging to a specific class, appropriate for specific tasks in quantum information theory.

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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