Coexistence of supersymmetric and supersymmetry-breaking states in spherical spin-glasses

被引:18
作者
Annibale, A
Gualdi, G
Cavagna, A
机构
[1] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy
[2] INFM, Ctr Stat Mech & Complex, I-00185 Rome, Italy
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2004年 / 37卷 / 47期
关键词
D O I
10.1088/0305-4470/37/47/001
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The structure of states of the perturbed p-spin spherical spin-glass is analysed. At low enough free energy, metastable states have a supersymmetric structure, while at higher free energies the supersymmetry is broken. The transition between the supersymmetric and the supersymmetry-breaking phase is triggered by a change in the stability of states.
引用
收藏
页码:11311 / 11320
页数:10
相关论文
共 29 条
[1]   Supersymmetric complexity in the Sherrington-Kirkpatrick model [J].
Annibale, A ;
Cavagna, A ;
Giardina, I ;
Parisi, G .
PHYSICAL REVIEW E, 2003, 68 (06)
[2]   The role of the Beechi-Rouet-Stora-Tyutin supersymmetry in the calculation of the complexity for the Sherrington-Kirkpatrick model [J].
Annibale, A ;
Cavagna, A ;
Giardina, I ;
Parisi, G ;
Trevigne, E .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (43) :10937-10953
[3]   Complexity of Ising spin glasses [J].
Aspelmeier, T ;
Bray, AJ ;
Moore, MA .
PHYSICAL REVIEW LETTERS, 2004, 92 (08)
[4]   Temperature evolution and bifurcations of metastable states in mean-field spin glasses, with connections with structural glasses [J].
Barrat, A ;
Franz, S ;
Parisi, G .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (16) :5593-5612
[5]   RENORMALIZATION OF ABELIAN HIGGS-KIBBLE MODEL [J].
BECCHI, C ;
ROUET, A ;
STORA, R .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1975, 42 (02) :127-162
[6]   Numerical study of metastable states in Ising spin glasses [J].
Cavagna, A ;
Giardina, I ;
Parisi, G .
PHYSICAL REVIEW LETTERS, 2004, 92 (12) :120603-1
[7]   On the formal equivalence of the TAP and thermodynamic methods in the SK model [J].
Cavagna, A ;
Giardina, I ;
Parisi, G ;
Mézard, M .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (05) :1175-1194
[8]   Quenched complexity of the mean-field p-spin spherical model with external magnetic field [J].
Cavagna, A ;
Garrahan, JP ;
Giardina, I .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (05) :711-723
[9]  
CRISANT A, 2004, CONDMAT0406649
[10]   THE SPHERICAL P-SPIN INTERACTION SPIN-GLASS MODEL - THE STATICS [J].
CRISANTI, A ;
SOMMERS, HJ .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1992, 87 (03) :341-354