Study of the XY chain with long-range interactions

被引：1

作者：

Li Jia-Liang ^{[1
,2
]}

Lei Shu-Guo ^{[3
]}

机构：

[1] Jiangsu Lab Adv unct Mat, Changshu 215500, Peoples R China

[2] Changshu Inst Technol, Dept Phys, Changshu 215500, Peoples R China

[3] Nanjing Univ Technol, Dept Appl Phys, Nanjing 210009, Peoples R China

来源：

ACTA PHYSICA SINICA | 2008年 / 57卷 / 09期

关键词：

xY chain; mean-field Jordan-Wigner transformation; long-range interactions;

D O I：

10.7498/aps.57.5944

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using the mean-field Jordan-Wigner transformation analysis, we have studied the one-dimensional spin-1/2 XY chain with Z-directional uniform long-range interactions in the external magnetic field. We have obtained such results as the Helmholtz free energy, internal energy, specific heat, magnetization and isothermal susceptibility. We also discuss the first and second-order phase transitions of the system at a finite temperature. Our results agree with results published in literature.

引用

页码：5944 / 5950

页数：7

共 16 条

[1] GROUND-STATE PROPERTIES OF A SPIN-1 ANTI-FERROMAGNETIC CHAIN
BOTET, R
JULLIEN, R
[J]. PHYSICAL REVIEW B, 1983, 27 (01): : 613 - 615
[2] FRADKIN E, 1991, FIELD THEORIES CONDE, pCH4
[3] Static and dynamic properties of the XXZ chain with long-range interactions
Gonçalves, LL
Coutinho, LPS
de Lima, JP
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 345 (1-2) : 71 - 91
[4] HANDANE FDM, 1983, PHYS REV LETT, V50, P1153
[5] Quantum information processing using quantum dot spins and cavity QED
Imamoglu, A
Awschalom, DD
Burkard, G
DiVincenzo, DP
Loss, D
Sherwin, M
Small, A
[J]. PHYSICAL REVIEW LETTERS, 1999, 83 (20) : 4204 - 4207
[6] MAGNETIZATION PROCESS OF AN S=1 LINEAR-CHAIN HEISENBERG-ANTIFERROMAGNET
KATSUMATA, K
HORI, H
TAKEUCHI, T
DATE, M
YAMAGISHI, A
RENARD, JP
[J]. PHYSICAL REVIEW LETTERS, 1989, 63 (01) : 86 - 88
[7] The spin-1/2 Heisenberg chain: thermodynamics, quantum criticality and spin-Peierls exponents
Klumper, A
[J]. EUROPEAN PHYSICAL JOURNAL B, 1998, 5 (03) : 677 - 685
[8] Quantum phase transition in a solvable spin model
Lou, P
[J]. PHYSICAL REVIEW B, 2005, 72 (06)
[9] EXACTLY SOLUBLE MODELS OF QUANTUM SYSTEMS SHOWING SECOND ORDER PHASE TRANSITIONS
SUZUKI, M
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1966, 21 (11) : 2140 - +
[10] Quantum phase transitions of a quasiperiodic anisotropic XY chain in a transverse magnetic field -: art. no. 064421
Tong, PQ
Zhong, M
[J]. PHYSICAL REVIEW B, 2002, 65 (06) : 1 - 5

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