Phase diagram of a family of one-dimensional nearest-neighbor tight-binding models with an exact mobility edge

2017 ◽  
Vol 26 (7) ◽  
pp. 077202
Author(s):  
Long-Yan Gong ◽  
Xiao-Xin Zhao
Keyword(s):  
Phase Diagram ◽  
Nearest Neighbor ◽  
Tight Binding ◽  
Mobility Edge ◽  
One Dimensional ◽  
Binding Models

EFFECT OF CORRELATED-HOPPING INTERACTION ON A ONE-DIMENSIONAL EXTENDED HUBBARD MODEL WITH SPIN-EXCHANGE INTERACTION

2012 ◽  
Vol 26 (07) ◽  
pp. 1150044 ◽  
Author(s):  
HANQIN DING ◽  
JUN ZHANG
Keyword(s):  
Phase Diagram ◽  
Nearest Neighbor ◽  
Spin Exchange ◽  
One Dimensional ◽  
Body Interaction ◽  
Hartree Fock ◽  
Interacting Electrons ◽  
1D Model ◽  
Isotropic Exchange ◽  
Three Body

By using the field-theoretical techniques combining bosonization with renormalization group, we study a one-dimensional (1D) model of interacting electrons with on-site repulsion (U > 0), nearest-neighbor (nn) exchange (J) and correlated-hopping (t2, t3) interactions at weak coupling. In the case of a half-filled band, the two-body interaction t2 does not influence phase diagram of the model, while the presence of three-body interaction t3 makes the physics of the system highly non-trivial. By a Hartree–Fock decoupling, the effects of t3 bring about hopping of pairs, V-like (nn Coulomb interaction) and isotropic exchange terms in the reduced model Hamiltonian. Interestingly, a negative t3 provides a possibility for the occurrence of the triplet superconductivity in 1D system with purely repulsive interactions (U, J > 0). The ground state phase diagram including the insulating and superconducting phases is discussed analytically.

An AB Initio Calculation of the Pd-V FCC Superstructure Phase Diagram with Fourth Nearest Neighbor Cluster Interactions

1992 ◽  
Vol 291 ◽  
Author(s):  
Patrick D. Tepesch ◽  
G. Ceder ◽  
C. Wolverton ◽  
D. De Fontaine
Keyword(s):  
Phase Diagram ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Ab Initio Calculation ◽  
Nearest Neighbor ◽  
Tight Binding ◽  
Monte Carlo Simulation Technique ◽  
Experimental Diagram ◽  
Neighbor Cluster ◽  
Independent Pair

ABSTRACTThe Monte Carlo technique was used to calculate the phase diagram of the fee superstructures in the Pd-V system using up to fourth nearest neighbor, concentration independent, pair and multiplet interactions. The interactions were computed by the method of Direct Configurational Averaging using a Linearized Muffin-Tin Orbital Hamiltonian cast into the tight binding form. The phase diagram was computed with a fast Monte Carlo simulation technique using environment sampling. The two fee ground states in experimental diagram are predicted to be stable. The computed transition temperatures are higher than those found experimentally.

SPIN GAPLESS BOND-ORDERED PHASE IN THE EXTENDED HUBBARD CHAIN WITH SPIN-DEPENDENT REPULSION

2011 ◽  
Vol 25 (27) ◽  
pp. 3555-3568 ◽  
Author(s):  
HANQIN DING ◽  
JUN ZHANG
Keyword(s):  
Phase Diagram ◽  
Renormalization Group ◽  
Weak Coupling ◽  
Nearest Neighbor ◽  
Density Wave ◽  
Spin Density Wave ◽  
Extended Hubbard Model ◽  
Weak Coupling Regime ◽  
One Dimensional ◽  
Plane Anisotropy

Using the field theoretical bosonization and renormalization group techniques, we analytically study quantum phase diagram of a one-dimensional half-filled extended Hubbard model with on-site (U) and spin-dependent nearest-neighbor interactions (V⊥, V‖) in the weak coupling regime. In the case of easy-plane anisotropy (V⊥ > V‖) and at V‖ < U/2, the existence of bond-ordered spin-density-wave phase, corresponding to spin gapless transverse magnetization located on bonds (BSDW±) is shown.

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