GROUND STATE OF THE 2D EXTENDED HUBBARD MODEL WITH MORE THAN NEAREST-NEIGHBOR INTERACTIONS

被引：6

作者：

Harir, S. ^{[1
]}

Bennai, M. ^{[1
,2
]}

Boughaleb, Y. ^{[1
,3
,4
]}

机构：

[1] Univ Hassan II Mohammedia Casablanca, Phys Mat Condensee Lab, URAC10, Fac Sci Ben MSik, Casablanca, Morocco

[2] LabUFR PHE, Grp Natl Phys Hautes Energies, Rabat, Morocco

[3] Univ Chouaib Doukkali, Fac Sci, El Jadida, Morocco

[4] Hassan II Acad Sci & Technol, Rabat, Morocco

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2012年 / 26卷 / 29期

关键词：

Extended Hubbard model; ground state; phase diagram;

D O I：

10.1142/S0217979212501561

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

We investigate the ground state phase diagram of the two dimensional Extended Hubbard Model (EHM) with more than Nearest-Neighbor (NN) interactions for finite size system at low concentration. This EHM is solved analytically for finite square lattice at one-eighth filling. All eigenvalues and eigenvectors are given as a function of the on-site repulsion energy U and the off-site interaction energy V-ij. The behavior of the ground state energy exhibits the emergence of phase diagram. The obtained results clearly underline that interactions exceeding NN distances in range can significantly influence the emergence of the ground state conductor-insulator transition.

引用

页数：7

共 50 条

[41] FRUSTRATED NEAREST-NEIGHBOR D = 2 ISING-MODEL - EXACT RESULTS
SHANKAR, R
MURTHY, G
[J]. PHYSICAL REVIEW B, 1987, 35 (07): : 3671 - 3674
[42] Deep Reinforcement Learning for Mapping Quantum Circuits to 2D Nearest-Neighbor Architectures
Li, Yangzhi
Liu, Wen
Li, Maoduo
[J]. ADVANCED QUANTUM TECHNOLOGIES, 2024, 7 (02)
[43] Boomerons in a 1-D lattice with only nearest-neighbor interactions
Katz, Shmuel
Givli, Sefi
[J]. EPL, 2020, 131 (06)
[44] Bose-Hubbard models with on-site and nearest-neighbor interactions: exactly solvable case
Lakaev, Saidakhmat N.
Kholmatov, Shokhrukh Yu
Khamidov, Shakhobiddin, I
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2021, 54 (24)
[45] Nearest-neighbor attraction stabilizes staggered currents in the two-dimensional Hubbard model
Stanescu, TD
Phillips, P
[J]. PHYSICAL REVIEW B, 2001, 64 (22)
[46] MODULATED STRUCTURES OF AN ISING-MODEL WITH COMPETING NEAREST-NEIGHBOR INTERACTIONS
DEOLIVEIRA, MJ
SALINAS, SR
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (18): : 1157 - 1161
[47] GROUND-STATE PROPERTIES OF DILUTE CLASSICAL FCC HEISENBERG ANTI-FERROMAGNETS WITH NEAREST-NEIGHBOR INTERACTIONS
CHING, WY
HUBER, DL
[J]. JOURNAL OF APPLIED PHYSICS, 1981, 52 (03) : 1715 - 1717
[48] Phase diagram of the square 2D Ising lattice with nearest neighbor and next-nearest neighbor interactions
Zandvliet, Harold J. W.
[J]. PHASE TRANSITIONS, 2023, 96 (3-4) : 187 - 195
[49] Emergent nearest-neighbor attraction in the fully renormalized interactions of the single-band repulsive Hubbard model at weak coupling
Gazizova, Daria
LeBlanc, J. P. F.
[J]. PHYSICAL REVIEW B, 2023, 108 (16)
[50] Complete catalog of ground-state diagrams for the general three-state lattice-gas model with nearest-neighbor interactions on a square lattice
Silva, Daniel
Rikvold, Per Arne
[J]. PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 2019, 21 (11) : 6216 - 6223

← 1 2 3 4 5 →