RIGOROUS LOWER BOUNDS ON THE GROUND-STATE ENERGY OF CORRELATED FERMI SYSTEMS

被引：9

作者：

VALENTI, R ^{[1
]}

HIRSCHFELD, PJ ^{[1
]}

DAURIAC, JCA ^{[1
]}

机构：

[1] CNRS,CTR RECH TRES BASSES TEMP,F-38042 GRENOBLE,FRANCE

来源：

PHYSICAL REVIEW B | 1991年 / 44卷 / 08期

关键词：

D O I：

10.1103/PhysRevB.44.3995

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We show that the thermodynamic potential E-mu-N of an itinerant interacting Fermi system is bounded below by the sum of the thermodynamic potentials of small subsystems into which the infinite system is partitioned. Exact lower bounds for the energy in the thermodynamic limit are therefore easily obtainable by diagonalization of small clusters. In one dimension, these bounds are remarkably close to Bethe-ansatz results for the Hubbard model. We present lower bounds for the two-dimensional Hubbard and t-J Hamiltonians. Such bounds may serve as rigorous tests for approximate treatments of this class of problems.

引用

页码：3995 / 3998

页数：4

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