Exact Solution of a New Class of Hubbard-Type Models with Open Boundary Conditions

CAO Li-Ke; KE San-Min; YANG Tao; YUE Rui-Hong

Chinese Physics C> 2007, Vol. 31> Issue(1) : 30-33

Exact Solution of a New Class of Hubbard-Type Models with Open Boundary Conditions

Institute of Modern Physics, Northwest University, Xi'an 710069, China

Abstract
HTML
Reference
Related

PDF

Abstract：
A new class of Hubbard-type models with open boundary conditions in one dimension is studied in the framework of coordinate Bethe ansatz method. The energy spectrum, integrable boundary conditions and the corresponding Bethe ansatz equations are derived.

References

[1]

. Kane C L, Fisher M P A. Phys. Rev. Lett., 1992, 68: 12202. A2eck I, Ludwig A W W. Phys. Rev. Lett., 1992, 68: 10463. A2eck I, Ludwig A W W. Phys. Rev.,1993, B48: 72974. Essler F H L. J. Phys. A: Math. Gen., 1996, 29: 61835. Lieb E H, WU F Y. Phys. Rev. Lett., 1968, 20: 1445|14486. Voit J. Rep. Prog. Phys., 1995, 58: 9777. Anderson P W. The Theory of Superconductivity in the High TC Cuprates. Princeton: Princeton University Press,19978. Osterloh A, Amico L, Eckern U. J. Phys. A: Math Gen.,2000, 33: L87-L919. Sklyanin E K. J. Phys. A: Math Gen., 1988, 21: 2375-——2389

[1]	YAN Hua-Hua , MA Qing-Shan , ZHANG Jun . Mott-Hubbard transition of bosons in optical lattices with two-body interactions. Chinese Physics C, 2011, 35(6): 530-534. doi: 10.1088/1674-1137/35/6/003
[2]	LONG Zheng-Wen , CHEN Lin . Canonical Quantization of Complex Scalarfield Theory with Boundaries. Chinese Physics C, 2007, 31(1): 14-18.
[3]	TANG Ling-Yun , LIU Jing , XIAO Wan-Sheng . High Pressure X-Ray Diffraction of SrF₂. Chinese Physics C, 2005, 29(S1): 109-111.
[4]	JIN Meng , CHEN Ji-Sheng , LI Jia-Rong . A New Phase of Nuclear Matter under the Condition of High Temperature in QHD Model. Chinese Physics C, 2002, 26(5): 516-521.
[5]	PAN Feng , DAI Lian-Rong . A Hard-Core Bose-Hubbard Model for the Description of Pairing Interactions in Well-Deformed Nuclei. Chinese Physics C, 2001, 25(2): 134-138.
[6]	YANG ZhanYing , ZHAO Liu , ZHEN Yi . Exact Solution of Super Liouville Model. Chinese Physics C, 2000, 24(2): 91-97.
[7]	Ma Tao , Ni Zhixiang . Non-Harmonic Oscillator and New Conditionally Exactly Solvable Potentials. Chinese Physics C, 1999, 23(7): 650-654.
[8]	Xi Xiaoqiang , Shi Kangjie , Hou Boyu , Fan Heng . Algebraic Bethe Ansatz for the Supersymmetric t-J Model With Reflecting Boundary Conditions in FBF Background. Chinese Physics C, 1999, 23(10): 961-979.
[9]	Zhang Zhanjun , Sang Jianping , Yang Jie , Liu Yong . Renormalization of g-Boson Effects Under Weak Coupling Condition. Chinese Physics C, 1998, 22(5): 440-445.
[10]	Zhao Liu . Oscillator Algebra With Reflecting Boundary and Generalized Statistics. Chinese Physics C, 1997, 21(1): 25-33.
[11]	Yue Ruihong , Liang Hong . Integrability and Boundary Conditions of Supersymmetric Systems. Chinese Physics C, 1996, 20(6): 514-521.
[12]	Hu Zhanning , Hou Boyu . The Integrability Condition of Three-Dimensional Exactly Solvable Model-Baxter-Bazhanov Model in Statistical Mechanics. Chinese Physics C, 1995, 19(2): 123-130.
[13]	Hu Zhanning . Three-Dimensional Exactly Solvable Model With Cubic Lattice. Chinese Physics C, 1994, 18(9): 813-820.
[14]	MAO Ming-De , GUO Hua . Particle-hole state densities with energy constraints and exact Pauli exclusion effect. Chinese Physics C, 1992, 16(4): 370-378.
[15]	YANG Yong-Xu , LI Qing-Run . Eikonal Approximation for Intermediate Coupling. Chinese Physics C, 1992, 16(6): 534-538.
[16]	ZHENG Ren-Rong , ZHU Shun-Quan . EFV Method with the Constraints of Time Reversal Invariance and Axial Symmetry. Chinese Physics C, 1991, 15(6): 496-503.
[17]	WEN Jia-Ru , HUANG Tao . THE COMPOSITE SOLITON SOLUTION WITH BARYON NUMBER B=0 BUT HOPF INDEX H=1 IN THE SKYRME MODEL. Chinese Physics C, 1988, 12(1): 34-41.
[18]	ZHANG Yue-Zhong . ON THE BOUNDARY CONDITION AND CANONICAL S-WAVE HAMILTIONIAN FOR THE DYON-FERMION SYSTEM——THE SURFACE LAGRANGIAN AND GAUGE INVARIANT CHARGE CURRENT. Chinese Physics C, 1986, 10(1): 15-23.
[19]	LI Xin-Zhou , WANG Ke-Lin , ZHANG Jian-Zu . A KIND OF JACKIW-REBBI TYPE FERMION-MONOPOLE ZERO-ENERGY BOUND STATES IN AN SO(10) MODEL. Chinese Physics C, 1985, 9(6): 653-659.
[20]	LI TIE-ZHONG . DETERMINATION OF LEPTON LIKE-CABIBBO ANGLES AND PROBABLE INTERPRETATION OF μ→eγ TYPE PROCESSES. Chinese Physics C, 1982, 6(3): 275-279.

Access

Get Citation

CAO Li-Ke, KE San-Min, YANG Tao and YUE Rui-Hong. Exact Solution of a New Class of Hubbard-Type Models with Open Boundary Conditions[J]. Chinese Physics C, 2007, 31(1): 30-33.

CAO Li-Ke, KE San-Min, YANG Tao and YUE Rui-Hong. Exact Solution of a New Class of Hubbard-Type Models with Open Boundary Conditions[J]. Chinese Physics C, 2007, 31(1): 30-33. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2006-03-07
Revised: 1900-01-01

Article Metric

Article Views(2807)
PDF Downloads(672)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Exact Solution of a New Class of Hubbard-Type Models with Open Boundary Conditions

Corresponding author: CAO Li-Ke,

Institute of Modern Physics, Northwest University, Xi'an 710069, China

Received Date: 2006-03-07
Accepted Date: 1900-01-01
Available Online: 2007-01-05

Abstract: A new class of Hubbard-type models with open boundary conditions in one dimension is studied in the framework of coordinate Bethe ansatz method. The energy spectrum, integrable boundary conditions and the corresponding Bethe ansatz equations are derived.