FINITE TEMPERATURE APPROACH TO QUANTUM PHASE TRANSITIONS

被引:2
作者
Plastino, A. [1 ,2 ]
Curado, E. M. F. [3 ]
机构
[1] Natl Univ La Plata, Exact Sci Fac, RA-1900 La Plata, Argentina
[2] Consejo Nacl Invest Cient & Tecn, CCT, RA-1900 La Plata, Argentina
[3] CBPF, Rio De Janeiro, Brazil
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2010年 / 20卷 / 02期
关键词
Quantum phase transitions; statistical mechanics; specific heat; fluctuations; correlations;
D O I
10.1142/S0218127410025855
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show how ordinary, finite-temperature tools of Statistical Mechanics can be used to detect quantum phase transitions in many-body systems. In particular, statistical correlations exhibit a quite idiosyncratic behavior at the critical interaction-strengths. Moreover, what one may call "soft quantum phase-transitions" (crossings of excited states) are characterized by the rather special way of vanishing that these correlations adopt.
引用
收藏
页码:397 / 401
页数:5
相关论文
共 7 条
[1]   COHERENCE IN SPONTANEOUS RADIATION PROCESSES [J].
DICKE, RH .
PHYSICAL REVIEW, 1954, 93 (01) :99-110
[2]  
Jaynes: E.T., 1987, Papers on Probability, Statistics and Statistical Physics Dordrecht
[3]  
KRUSE MKG, 2008, ARXIV08093514NUCLTH
[4]   Generating statistical distributions without maximizing the entropy [J].
Plastino, A ;
Curado, EMF .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 365 (01) :24-27
[5]   Equivalence between maximum entropy principle and enforcing dU=TdS -: art. no. 047103 [J].
Plastino, A ;
Curado, EMF .
PHYSICAL REVIEW E, 2005, 72 (04)
[6]   SIMPLIFIED MODEL FOR ILLUSTRATING HARTREE-FOCK IN A LIPKIN-MODEL PROBLEM [J].
PLASTINO, A ;
MOSZKOWSKI, SA .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1978, 47 (04) :470-474
[7]   THERMAL EFFECTS AND THE INTERPLAY BETWEEN PAIRING AND SHAPE DEFORMATIONS [J].
ROSSIGNOLI, R ;
PLASTINO, A .
PHYSICAL REVIEW C, 1985, 32 (03) :1040-1048