Systematics of group-nonsubgroup transitions: Square to triangle transition

被引：15

作者：

Hatch, DM ^{[1
]}

Lookman, T

Saxena, A

Stokes, HT

机构：

[1] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA

[2] Brigham Young Univ, Dept Phys & Astron, Provo, UT 84602 USA

来源：

PHYSICAL REVIEW B | 2001年 / 64卷 / 06期

关键词：

D O I：

10.1103/PhysRevB.64.060104

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A variety of structural transitions in nature do not involve a group-subgroup relationship. A two-dimensional example is the transition between a square lattice and a triangular lattice, which is known to occur in vortex lattices, Wigner crystals, skyrmion lattices, colloids, diblock copolymers, etc. A three-dimensional analog is the shock-induced BCC to HCP transition in iron. We develop a systematic technique that incorporates site symmetry and yields displacive transition mechanisms and free energy forms for such structural changes. This procedure is demonstrated for the square to triangle transition.

引用

页数：4

共 16 条

[1] Giant low temperature heat capacity of GaAs quantum wells near Landau level filling nu=1 [J].

Bayot, V ;

Grivei, E ;

Melinte, S ;

Santos, MB ;

Shayegan, M .

PHYSICAL REVIEW LETTERS, 1996, 76 (24) :4584-4587

[2] WHITE-DWARFS AS QUANTUM CRYSTALS [J].

CHABRIER, G ;

ASHCROFT, NW ;

DEWITT, HE .

NATURE, 1992, 360 (6399) :48-50

[3] Interpretation of the neutron scattering data on flux lattices of superconductors [J].

Chang, D ;

Mou, CY ;

Rosenstein, B ;

Wu, CL .

PHYSICAL REVIEW LETTERS, 1998, 80 (01) :145-148

[4] DEFINITION OF A TRANSCENDENTAL ORDER PARAMETER FOR RECONSTRUCTIVE PHASE-TRANSITIONS [J].

DMITRIEV, VP ;

ROCHAL, SB ;

GUFAN, YM ;

TOLEDANO, P .

PHYSICAL REVIEW LETTERS, 1988, 60 (19) :1958-1961

[5] Observation of a field-driven structural phase transition in the flux line lattice in ErNi2B2C [J].

Eskildsen, MR ;

Gammel, PL ;

Barber, BP ;

Yaron, U ;

Ramirez, AP ;

Huse, DA ;

Bishop, DJ ;

Bolle, C ;

Lieber, CM ;

Oxx, S ;

Sridhar, S ;

Andersen, NH ;

Mortensen, K ;

Canfield, PC .

PHYSICAL REVIEW LETTERS, 1997, 78 (10) :1968-1971

[6] ENERGIES AND SPACINGS OF POINT CHARGES ON A SPHERE [J].

GLASSER, L ;

EVERY, AG .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (09) :2473-2482

[7] SYMMETRY ANALYSIS OF THE MICROSTRUCTURE AND PHASE-TRANSITIONS OF A CRYSTALLOGRAPHIC SPACE GROUP - APPLICATIONS [J].

HATCH, DM ;

STOKES, HT ;

PUTNAM, RM .

PHYSICAL REVIEW B, 1987, 35 (10) :4935-4942

[8] DEFECT STATES AND PHASE-TRANSITION IN THE TWO-DIMENSIONAL WIGNER CRYSTAL [J].

HOLZ, A .

PHYSICAL REVIEW B, 1980, 22 (08) :3692-3705

[9] VORTEX LATTICE SYMMETRY AND ELECTRONIC-STRUCTURE IN YBA2CU3O7 [J].

KEIMER, B ;

SHIH, WY ;

ERWIN, RW ;

LYNN, JW ;

DOGAN, F ;

AKSAY, IA .

PHYSICAL REVIEW LETTERS, 1994, 73 (25) :3459-3462

[10] VORTEX STRUCTURES IN YBA2CU3O7 [J].

KEIMER, B ;

LYNN, JW ;

ERWIN, RW ;

DOGAN, F ;

SHIH, WY ;

AKSAY, IA .

JOURNAL OF APPLIED PHYSICS, 1994, 76 (10) :6778-6783

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