Modulation of local magnetization in two-dimensional axial-next-nearest-neighbor Ising model

被引:8
作者
Derian, Rene [1 ]
Gendiar, Andrej
Nishino, Tomotoshi
机构
[1] Slovak Acad Sci, Inst Phys, SK-84511 Bratislava, Slovakia
[2] Slovak Acad Sci, Inst Elect Engn, SK-84104 Bratislava, Slovakia
[3] Kobe Univ, Fac Sci, Dept Phys, Kobe, Hyogo 6578501, Japan
关键词
incommensurate phase; ANNNI model; DMRG;
D O I
10.1143/JPSJ.75.114001
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The axial next-nearest-neighbor Ising model is studied in two dimensions at finite temperature using the density matrix renormalization group. The model exhibits phase transition of the second-order between the antiphase in low temperature and the modulated phase in high temperature. Observing the domain wall free energy, we confirm that the modulation period in high-temperature side is well explained by the free-fermion picture.
引用
收藏
页数:5
相关论文
共 23 条
[1]  
Barbar M N., 1983, Phase Transitions and Critical Phenomena, Vvol 8, pp 145
[2]  
BEREZINSKII VL, 1972, SOV PHYS JETP-USSR, V34, P610
[3]   Spin structure of the dopable quasi-one-dimensional copper oxide Ca2Y2Cu5O10 [J].
Fong, HF ;
Keimer, B ;
Lynn, JW ;
Hayashi, A ;
Cava, RJ .
PHYSICAL REVIEW B, 1999, 59 (10) :6873-6876
[4]   Phase diagram of the three-dimensional axial next-nearest-neighbor Ising model [J].
Gendiar, A ;
Nishino, T .
PHYSICAL REVIEW B, 2005, 71 (02)
[5]   The commensurate-disordered phase transition in the 2D classical ATNNI model studied by DMRG [J].
Gendiar, A ;
Surda, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (47) :8365-8371
[6]   INTERACTING-FERMION APPROXIMATION IN THE 2-DIMENSIONAL AXIAL NEXT-NEAREST-NEIGHBOR ISING-MODEL [J].
GRYNBERG, MD ;
CEVA, H .
PHYSICAL REVIEW B, 1991, 43 (16) :13630-13633
[7]   ALTERNATIVE TRANSFER-MATRIX APPROACH TO TWO-DIMENSIONAL SYSTEMS WITH COMPETING INTERACTIONS IN ONE DIRECTION [J].
GRYNBERG, MD ;
CEVA, H .
PHYSICAL REVIEW B, 1987, 36 (13) :7091-7099
[8]   ORDERING, METASTABILITY AND PHASE-TRANSITIONS IN 2 DIMENSIONAL SYSTEMS [J].
Kosterlitz, JM ;
Thouless, DJ .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1973, 6 (07) :1181-1203
[9]   PHASE-TRANSITION LINES VIA SURFACE-ENERGY CALCULATIONS IN THE TWO-DIMENSIONAL ANNNI MODEL [J].
KROEMER, J ;
PESCH, W .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (01) :L25-L28
[10]   AXIAL NEXT-NEAREST-NEIGHBOR ISING-MODEL, DIPOLE-DIPOLE INTERACTIONS, AND THE PHASE-TRANSITIONS OF NANO2 [J].
MASSIDDA, V ;
MIRASSO, CR .
PHYSICAL REVIEW B, 1989, 40 (13) :9327-9328