RENORMALIZATION GROUP FOR ONE-DIMENSIONAL FERMI SYSTEMS WITH LONG-RANGE POTENTIAL, EXCHANGE AND UMKLAPP INTERACTIONS

被引:10
作者
REZAYI, EH [1 ]
SAK, J [1 ]
SOLYOM, J [1 ]
机构
[1] UNIV ILLINOIS,DEPT PHYS,URBANA,IL 61801
来源
PHYSICAL REVIEW B | 1979年 / 20卷 / 03期
关键词
D O I
10.1103/PhysRevB.20.1129
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A model of a one-dimensional Fermi gas with momentum-transfer cutoff is studied by renormalization group within the framework of perturbation theory at the two-loop level. The interactions are allowed to carry spin and charge. It is shown that for this particular model the spin- and charge-density degrees of freedom are governed by two decoupled sets of scaling equations. This agrees with the results obtained by the boson-representation method. © 1979 The American Physical Society.
引用
收藏
页码:1129 / 1133
页数:5
相关论文
共 14 条
[1]  
BYCHKOV YA, 1966, ZH EKSP TEOR FIZ, V50, P738
[2]  
Dzyaloshinskii I. E., 1971, Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki, V61, P791
[3]   2-CUTOFF SCALING FOR ONE-DIMENSIONAL ELECTRON-GAS [J].
GREST, GS ;
ABRAHAMS, E ;
CHUI, ST ;
LEE, PA ;
ZAWADOWSKI, A .
PHYSICAL REVIEW B, 1976, 14 (03) :1225-1232
[4]  
GRINSTEIN G, UNPUBLISHED
[5]  
HALDANE FDM, UNPUBLISHED
[6]   SOLUTION OF A ONE-DIMENSIONAL FERMI-GAS MODEL [J].
LEE, PA .
PHYSICAL REVIEW LETTERS, 1975, 34 (19) :1247-1250
[7]   BACKWARD SCATTERING IN ONE-DIMENSIONAL ELECTRON-GAS [J].
LUTHER, A ;
EMERY, VJ .
PHYSICAL REVIEW LETTERS, 1974, 33 (10) :589-592
[8]   NEW WAVE-OPERATOR IDENTITY APPLIED TO STUDY OF PERSISTENT CURRENTS IN 1D [J].
MATTIS, DC .
JOURNAL OF MATHEMATICAL PHYSICS, 1974, 15 (05) :609-612
[9]   APPLICATION OF RENORMALIZATION GROUP TECHNIQUE TO PROBLEM OF PHASE-TRANSITION IN ONE-DIMENSIONAL METALLIC SYSTEMS .1. INVARIANT COUPLINGS, VERTEX, AND ONE-PARTICLE GREENS FUNCTION [J].
MENYHARD, N ;
SOLYOM, J .
JOURNAL OF LOW TEMPERATURE PHYSICS, 1973, 12 (5-6) :529-545
[10]  
PRIGODIN VN, 1976, ZH EKSP TEOR FIZ+, V71, P2252