Thermodynamics of the bilinear-biquadratic spin-one Heisenberg chain

被引：40

作者：

Lou, JH ^{[1
]}

Xiang, T ^{[1
]}

Su, ZB ^{[1
]}

机构：

[1] Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China

来源：

PHYSICAL REVIEW LETTERS | 2000年 / 85卷 / 11期

关键词：

D O I：

10.1103/PhysRevLett.85.2380

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The magnetic susceptibility and specific heat of the one-dimensional S = 1 bilinear-biquadratic Heisenberg model are calculated using the transfer matrix renormalization group. By comparing the results with the experimental data of LiVGe2O6 measured by Millet ct al. [Phys. Rev. Lett. 83, 4176 (1999)], we find that the susceptibility data of this material, after subtracting the impurity contribution, can be quantitatively explained with this model. The biquadratic exchange interaction in this material is found to be ferromagnetic, i.e., with a positive coupling constant.

引用

页码：2380 / 2383

页数：4

共 31 条

[1] RIGOROUS RESULTS ON VALENCE-BOND GROUND-STATES IN ANTIFERROMAGNETS [J].

AFFLECK, I ;

KENNEDY, T ;

LIEB, EH ;

TASAKI, H .

PHYSICAL REVIEW LETTERS, 1987, 59 (07) :799-802

[2] VALENCE BOND GROUND-STATES IN ISOTROPIC QUANTUM ANTIFERROMAGNETS [J].

AFFLECK, I ;

KENNEDY, T ;

LIEB, EH ;

TASAKI, H .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 115 (03) :477-528

[3] EXACT SOLUTION OF THE ISOTROPIC HEISENBERG CHAIN WITH ARBITRARY SPINS - THERMODYNAMICS OF THE MODEL [J].

BABUJIAN, HM .

NUCLEAR PHYSICS B, 1983, 215 (03) :317-336

[4] DENSITY-MATRIX RENORMALIZATION-GROUP STUDY OF THE CORRELATION-FUNCTION OF THE BILINEAR-BIQUADRATIC SPIN-1 CHAIN [J].

BURSILL, RJ ;

XIANG, T ;

GEHRING, GA .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (08) :2109-2119

[5] The density matrix renormalization group for a quantum spin chain at non-zero temperature [J].

Bursill, RJ ;

Xiang, T ;

Gehring, GA .

JOURNAL OF PHYSICS-CONDENSED MATTER, 1996, 8 (40) :L583-L590

[6] Calculation of the susceptibility of the S = 1 antiferromagnetic Heisenberg chain with single-ion anisotropy using the transfer matrix renormalization group method [J].

Coombes, D ;

Xiang, T ;

Gehring, GA .

JOURNAL OF PHYSICS-CONDENSED MATTER, 1998, 10 (10) :L159-L165

[7] MAGNETIC AND CHARGE DYNAMICS IN A DOPED ONE-DIMENSIONAL TRANSITION-METAL OXIDE [J].

DITUSA, JF ;

CHEONG, SW ;

PARK, JH ;

AEPPLI, G ;

BROHOLM, C ;

CHEN, CT .

PHYSICAL REVIEW LETTERS, 1994, 73 (13) :1857-1860

[8] OBSERVATION OF FRACTIONAL SPIN S=1/2 ON OPEN ENDS OF S=1 LINEAR ANTIFERROMAGNETIC CHAINS - NONMAGNETIC DOPING [J].

GLARUM, SH ;

GESCHWIND, S ;

LEE, KM ;

KAPLAN, ML ;

MICHEL, J .

PHYSICAL REVIEW LETTERS, 1991, 67 (12) :1614-1617

[9] Incommensurability in the magnetic excitations of the bilinear-biquadratic spin-1 chain [J].

Golinelli, O ;

Jolicoeur, T ;

Sorensen, ES .

EUROPEAN PHYSICAL JOURNAL B, 1999, 11 (02) :199-206

[10] OBSERVATION OF S = 1/2 DEGREES OF FREEDOM IN AN S = 1 LINEAR-CHAIN HEISENBERG-ANTIFERROMAGNET [J].

HAGIWARA, M ;

KATSUMATA, K ;

AFFLECK, I ;

HALPERIN, BI ;

RENARD, JP .

PHYSICAL REVIEW LETTERS, 1990, 65 (25) :3181-3184

← 1 2 3 4 →