TY - JOUR
T1 - The one-dimensional Hubbard model
T2 - Statphys - Taiwan - 2002: Lattice Models and Complex Systems
AU - Lieb, Elliott H.
AU - Wu, F. Y.
N1 - Funding Information:
We are indebted to Daniel Mattis for encouraging us to investigate the jump in the chemical potential as an indicator of the insulator–conductor transition. We also thank Helen Au-Yang and Jacques Perk for helpful discussions. FYW would like to thank Dung-Hai Lee for the hospitality at the University of California at Berkeley and Ting-Kuo Lee for the hospitality at the National Center for Theoretical Sciences, Taiwan, where part of this work was carried out. Work has been supported in part by NSF grants PHY-0139984, DMR-9980440 and DMR-9971503.
PY - 2003/4/1
Y1 - 2003/4/1
N2 - In 1968 we published the solution of the ground state energy and wave function of the one-dimensional Hubbard model, and we also showed that there is no Mott transition in this model. Details of the analysis have never been published, however. As the Hubbard model has become increasingly important in condensed matter physics, relating to topics such as the theory of high-Tc superconductivity, it is appropriate to revisit the one-dimensional model and to recall here some details of the solution.
AB - In 1968 we published the solution of the ground state energy and wave function of the one-dimensional Hubbard model, and we also showed that there is no Mott transition in this model. Details of the analysis have never been published, however. As the Hubbard model has become increasingly important in condensed matter physics, relating to topics such as the theory of high-Tc superconductivity, it is appropriate to revisit the one-dimensional model and to recall here some details of the solution.
KW - Exact solution
KW - Hubbard model
KW - One dimension
UR - http://www.scopus.com/inward/record.url?scp=0037380795&partnerID=8YFLogxK
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U2 - 10.1016/S0378-4371(02)01785-5
DO - 10.1016/S0378-4371(02)01785-5
M3 - Conference article
AN - SCOPUS:0037380795
VL - 321
SP - 1
EP - 27
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
SN - 0378-4371
IS - 1-2
Y2 - 26 May 2002 through 1 June 2002
ER -