Numerical study of ferromagnetic fluctuations and pairing correlations in the single-band Hubbard model on the triangular lattice

2008 ◽  
Vol 77 (12) ◽  
Author(s):  
Shi-Quan Su ◽  
Zhong-Bing Huang ◽  
Rui Fan ◽  
Hai-Qing Lin
Keyword(s):  
Hubbard Model ◽  
Triangular Lattice ◽  
Numerical Study ◽  
Single Band ◽  
Pairing Correlations

scholarly journals Pairing correlations in the cuprates: A numerical study of the three-band Hubbard model

2021 ◽  
Vol 103 (14) ◽  
Author(s):  
Peizhi Mai ◽  
Giovanni Balduzzi ◽  
Steven Johnston ◽  
Thomas A. Maier
Keyword(s):  
Hubbard Model ◽  
Numerical Study ◽  
Pairing Correlations

scholarly journals Pairing correlations in a generalized Hubbard model for the cuprates

2000 ◽  
Vol 61 (14) ◽  
pp. 9686-9689 ◽  
Author(s):  
Liliana Arrachea ◽  
A. A. Aligia
Keyword(s):  
Hubbard Model ◽  
Pairing Correlations ◽  
Generalized Hubbard Model

PHASE SEPARATION IN THE TWO-DIMENSIONAL HUBBARD MODEL

2005 ◽  
Vol 19 (01n03) ◽  
pp. 299-302 ◽  
Author(s):  
M. YU ◽  
H. Q. LIN
Keyword(s):  
Phase Separation ◽  
Hubbard Model ◽  
Coulomb Interaction ◽  
Single Band ◽  
Study Phase ◽  
Two Dimensional ◽  
Stripe Phase ◽  
Hartree Fock ◽  
Band Filling

In this paper, we study phase separation in the two-dimensional single-band Hubbard model with the unrestricted Hartree-Fock(UHF) method and the restricted Hartree-Fock (RHF) method. We perform the calculation for square lattices and rectangle lattices. It is observed that the stripe phase exists and it depends on three aspects: geometry of the lattice, Coulomb interaction U and band filling n. To gain more physical insights, we consider the Hubbard model with spin dependent hoppings: t↑ and t↓, and study the effect of varying [Formula: see text] on the phase separation.

scholarly journals Dimer description of the SU(4) antiferromagnet on the triangular lattice

2020 ◽  
Vol 8 (5) ◽  
Author(s):  
Anna Keselman ◽  
Lucile Savary ◽  
Leon Balents
Keyword(s):  
Phase Diagram ◽  
Triangular Lattice ◽  
Ground State ◽  
Degrees Of Freedom ◽  
Numerical Study ◽  
Spin Model ◽  
Translation Invariance ◽  
Multilayer Graphene ◽  
High Symmetry ◽  
Starting Point

In systems with many local degrees of freedom, high-symmetry points in the phase diagram can provide an important starting point for the investigation of their properties throughout the phase diagram. In systems with both spin and orbital (or valley) degrees of freedom such a starting point gives rise to SU(4)-symmetric models. Here we consider SU(4)-symmetric "spin'' models, corresponding to Mott phases at half-filling, i.e. the six-dimensional representation of SU(4). This may be relevant to twisted multilayer graphene. In particular, we study the SU(4) antiferromagnetic "Heisenberg'' model on the triangular lattice, both in the classical limit and in the quantum regime. Carrying out a numerical study using the density matrix renormalization group (DMRG), we argue that the ground state is non-magnetic. We then derive a dimer expansion of the SU(4) spin model. An exact diagonalization (ED) study of the effective dimer model suggests that the ground state breaks translation invariance, forming a valence bond solid (VBS) with a 12-site unit cell. Finally, we consider the effect of SU(4)-symmetry breaking interactions due to Hund's coupling, and argue for a possible phase transition between a VBS and a magnetically ordered state.

scholarly journals Correlation effects in the triangular lattice single-band systemLixNbO2

2007 ◽  
Vol 76 (14) ◽  
Author(s):  
K.-W. Lee ◽  
J. Kuneš ◽  
R. T. Scalettar ◽  
W. E. Pickett
Keyword(s):  
Triangular Lattice ◽  
Single Band ◽  
Correlation Effects
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