Low-temperature properties of the Hubbard model on highly frustrated one-dimensional lattices

被引：75

作者：

Derzhko, O. ^{[1
,2
,3
]}

Richter, J. ^{[3
]}

Honecker, A. ^{[4
]}

Maksymenko, M. ^{[1
]}

Moessner, R. ^{[2
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Condensed Matter Phys, UA-79011 Lvov, Ukraine

[2] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany

[3] Univ Magdeburg, Inst Theoret Phys, D-39016 Magdeburg, Germany

[4] Univ Gottingen, Inst Theoret Phys, D-37077 Gottingen, Germany

来源：

PHYSICAL REVIEW B | 2010年 / 81卷 / 01期

关键词：

FLAT-BAND FERROMAGNETISM; ELECTRON GROUND-STATES; LOCALIZED-MAGNON STATES; KAGOME LATTICE; SATURATED FERROMAGNETISM; SPIN LATTICES; LINE GRAPHS; ANTIFERROMAGNET; MAGNETS; BASICS;

D O I：

10.1103/PhysRevB.81.014421

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider the repulsive Hubbard model on three highly frustrated one-dimensional lattices-saw-tooth chain and two kagome chains-with completely dispersionless (flat) lowest single-electron bands. We construct the complete manifold of exact many-electron ground states at low electron fillings and calculate the degeneracy of these states. As a result, we obtain closed-form expressions for low-temperature thermodynamic quantities around a particular value of the chemical potential mu(0). We discuss specific features of thermodynamic quantities of these ground-state ensembles such as residual entropy, an extra low-temperature peak in the specific heat, and the existence of ferromagnetism and paramagnetism. We confirm our analytical results by comparison with exact-diagonalization data for finite systems.

引用

页数：18

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