INCOMMENSURATE STRUCTURE IN THE LATTICE-GAS ANNNI MODEL

被引：6

作者：

KARASOVA, I

SURDA, A

机构：

[1] Institute of Physics, Slovak Academy of Science, Bratislava, 842 28

来源：

JOURNAL OF STATISTICAL PHYSICS | 1993年 / 70卷 / 3-4期

关键词：

LATTICE-GAS ANNNI MODEL; FLOATING INCOMMENSURATE PHASE; SPATIALLY MODULATED STRUCTURES;

D O I：

10.1007/BF01053589

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The phase diagram of the two-dimensional lattice-gas ANNNI model is investigated using the cluster transfer-matrix method. The numerical calculations have shown commensurate, disordered, and floating incommensurate phases. The properties of the incommensurate phase are studied in detail and the position of the Lifshitz point is discussed.

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页码：675 / 689

页数：15

相关论文

共 21 条

[1] WETTING IN THE TWO-DIMENSIONAL ANNNI MODEL [J].

ALANISSILA, T ;

AMAR, J ;

GUNTON, JD .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (02) :L41-L47

[2] COMMENSURATE PHASES, INCOMMENSURATE PHASES AND THE DEVILS STAIRCASE [J].

BAK, P .

REPORTS ON PROGRESS IN PHYSICS, 1982, 45 (06) :587-629

[3] DYNAMICAL PHASE-TRANSITIONS IN THE TWO-DIMENSIONAL ANNNI MODEL [J].

BARBER, MN ;

DERRIDA, B .

JOURNAL OF STATISTICAL PHYSICS, 1988, 51 (5-6) :877-891

[4] FINITE-SIZE SCALING OF TWO-DIMENSIONAL AXIAL NEXT-NEAREST-NEIGHBOR ISING-MODELS [J].

BEALE, PD ;

DUXBURY, PM ;

YEOMANS, J .

PHYSICAL REVIEW B, 1985, 31 (11) :7166-7170

[5] DISLOCATIONS AND THE COMMENSURATE-INCOMMENSURATE TRANSITION IN 2 DIMENSIONS [J].

COPPERSMITH, SN ;

FISHER, DS ;

HALPERIN, BI ;

LEE, PA ;

BRINKMAN, WF .

PHYSICAL REVIEW LETTERS, 1981, 46 (08) :549-552

[6] THE TWO-DIMENSIONAL ANNNI MODEL IN THE CVM APPROXIMATION [J].

FINEL, A ;

DEFONTAINE, D .

JOURNAL OF STATISTICAL PHYSICS, 1986, 43 (3-4) :645-661

[7] LOW-TEMPERATURE ANALYSIS OF THE AXIAL NEXT-NEAREST NEIGHBOR ISING-MODEL NEAR ITS MULTIPHASE POINT [J].

FISHER, ME ;

SELKE, W .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1981, 302 (1463) :1-44

[8] 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

[9] LIFSHITZ POINTS IN ISING SYSTEMS [J].

HORNREICH, RM ;

LIEBMANN, R ;

SCHUSTER, HG ;

SELKE, W .

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1979, 35 (01) :91-97

[10] MEAN-FIELD THEORY OF THE 3-DIMENSIONAL ANISOTROPIC ISING-MODEL AS A 4-DIMENSIONAL MAPPING [J].

JENSEN, MH ;

BAK, P .

PHYSICAL REVIEW B, 1983, 27 (11) :6853-6868