Critical behavior of frustrated spin models with noncollinear order

被引:89
作者
Pelissetto, A [1 ]
Rossi, P
Vicari, E
机构
[1] Univ Rome 1, Dipartimento Fis, I-00185 Rome, Italy
[2] Ist Nazl Fis Nucl, I-00185 Rome, Italy
[3] Univ Pisa, Dipartimento Fis, I-56127 Pisa, Italy
[4] Ist Nazl Fis Nucl, I-56127 Pisa, Italy
来源
PHYSICAL REVIEW B | 2001年 / 63卷 / 14期
关键词
D O I
10.1103/PhysRevB.63.140414
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We study the critical behavior of frustrated spin models with noncollinear order, including stacked triangular antiferromagnets and helimagnets. For this purpose we compute the field-theoretic expansions at a fixed dimension to six loops and determine their large-order behavior. For the physically relevant cases of two and three components, we show the existence of a stable fixed point that corresponds to the conjectured chiral universality class. This contradicts previous three-loop field-theoretical results but is in agreement with experiments.
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页数:4
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共 33 条
[1]   NEW CRITICAL EXPONENT-BETA OF THE XY ANTIFERROMAGNET ON STACKED TRIANGULAR LATTICE, CSMNBR3 [J].
AJIRO, Y ;
NAKASHIMA, T ;
UNNO, Y ;
KADOWAKI, H ;
MEKATA, M ;
ACHIWA, N .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1988, 57 (08) :2648-2650
[2]   CHIRAL TRANSITIONS IN 3-DIMENSIONAL MAGNETS AND HIGHER-ORDER EPSILON-EXPANSION [J].
ANTONENKO, SA ;
SOKOLOV, AI ;
VARNASHEV, KB .
PHYSICS LETTERS A, 1995, 208 (1-2) :161-164
[3]   PHASE-TRANSITIONS IN ANISOTROPIC SUPERCONDUCTING AND MAGNETIC SYSTEMS WITH VECTOR ORDER PARAMETERS - 3-LOOP RENORMALIZATION-GROUP ANALYSIS [J].
ANTONENKO, SA ;
SOKOLOV, AI .
PHYSICAL REVIEW B, 1994, 49 (22) :15901-15912
[4]   CROSSOVER TO CHIRALITY IN THE CRITICAL-BEHAVIOR OF THE EASY-AXIS ANTIFERROMAGNET CSNICL3 [J].
BECKMANN, D ;
WOSNITZA, J ;
VANDERLOHNEYSEN, H ;
VISSER, D .
PHYSICAL REVIEW LETTERS, 1993, 71 (17) :2829-2832
[5]  
BHATTACHARYA T, 1994, J PHYS I, V4, P181, DOI 10.1051/jp1:1994131
[6]   Phase diagram of XY antiferromagnetic stacked triangular lattices [J].
Boubcheur, EH ;
Loison, D ;
Diep, HT .
PHYSICAL REVIEW B, 1996, 54 (06) :4165-4169
[7]   N-component Ginzburg-Laudau Hamiltonian with cubic anisotropy:: A six-loop study [J].
Carmona, JM ;
Pelissetto, A ;
Vicari, E .
PHYSICAL REVIEW B, 2000, 61 (22) :15136-15151
[8]   Triangular antiferromagnets [J].
Collins, MF ;
Petrenko, OA .
CANADIAN JOURNAL OF PHYSICS, 1997, 75 (09) :605-655
[9]   CRITICAL-BEHAVIOR IN THE SPECIFIC-HEAT OF AN ANTIFERROMAGNET WITH CHIRAL SYMMETRY [J].
DEUTSCHMANN, R ;
VONLOHNEYSEN, H ;
WOSNITZA, J ;
KREMER, RK ;
VISSER, D .
EUROPHYSICS LETTERS, 1992, 17 (07) :637-642
[10]   Chiral critical behaviour in CsNiCl3 [J].
Enderle, M ;
Schneider, R ;
Matsuoka, Y ;
Kakurai, K .
PHYSICA B, 1997, 234 :554-556