Connection between the slave-particle and x-operator path-integral representations.: A new perturbative approach

被引:13
作者
Foussats, A [1 ]
Greco, A [1 ]
Repetto, C [1 ]
Zandron, OP [1 ]
Zandron, OS [1 ]
机构
[1] Univ Nacl Rosario, Fac Ciencias Exactas Ingn & Agrimensura, RA-2000 Rosario, Argentina
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2000年 / 33卷 / 33期
关键词
D O I
10.1088/0305-4470/33/33/305
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper it is shown that the family of first-order Lagrangians for the t-J model and the corresponding correlation-generating functional previously found can be exactly mapped into the slave-fermion decoupled representation. Next, by means of the Faddeev-Jackiw symplectic method, a different family of Lagrangians is constructed and it is shown how the corresponding correlation-generating functional can be mapped into the slave-boson representation. Finally, in order to define the propagation of fermion modes we discuss two alternative ways to treat the fermionic sector in the path-integral formalism for the t-J model.
引用
收藏
页码:5849 / 5866
页数:18
相关论文
共 33 条
[1]   EFFECTIVE LATTICE ACTIONS FOR CORRELATED ELECTRONS [J].
ANGELUCCI, A .
PHYSICAL REVIEW B, 1995, 51 (17) :11580-11583
[2]   GRADED HOLSTEIN-PRIMAKOFF TRANSFORMATIONS AND THE SEMICLASSICAL LIMIT OF STRONGLY CORRELATED ELECTRON-SYSTEMS [J].
ANGELUCCI, A ;
LINK, R .
PHYSICAL REVIEW B, 1992, 46 (05) :3089-3094
[3]   DOPED ANTIFERROMAGNET - THE INSTABILITY OF HOMOGENEOUS MAGNETIC PHASES [J].
AUERBACH, A ;
LARSON, BE .
PHYSICAL REVIEW B, 1991, 43 (10) :7800-7809
[4]   THE RESONATING VALENCE BOND STATE AND HIGH-TC SUPERCONDUCTIVITY - A MEAN FIELD-THEORY [J].
BASKARAN, G ;
ZOU, Z ;
ANDERSON, PW .
SOLID STATE COMMUNICATIONS, 1987, 63 (11) :973-976
[5]   NEW SUPERSYMMETRIC AND EXACTLY SOLVABLE MODEL OF CORRELATED ELECTRONS [J].
BRACKEN, AJ ;
GOULD, MD ;
LINKS, JR ;
ZHANG, YZ .
PHYSICAL REVIEW LETTERS, 1995, 74 (14) :2768-2771
[6]   Incommensurate structure of a spin density wave in the one-dimensional t-J model [J].
Caprara, S ;
Avignon, M ;
Tugushev, V .
PHYSICS LETTERS A, 1999, 255 (1-2) :98-102
[7]  
Dirac P.A.M., 1964, LECT QUANTUM MECH
[8]   HAMILTONIAN REDUCTION OF UNCONSTRAINED AND CONSTRAINED SYSTEMS [J].
FADDEEV, L ;
JACKIW, R .
PHYSICAL REVIEW LETTERS, 1988, 60 (17) :1692-1694
[9]   Supersymmetric anyons in the Faddeev-Jackiw quantization picture [J].
Foussats, A ;
Repetto, C ;
Zandron, OP ;
Zandron, OS .
ANNALS OF PHYSICS, 1998, 268 (02) :225-245
[10]   Dynamical model and path integral formalism for Hubbard operators [J].
Foussats, A ;
Greco, A ;
Zandron, OS .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1999, 38 (05) :1439-1453