Higher-dimensional bosonization with nonlinear energy dispersion

被引:29
作者
Kopietz, P [1 ]
Castilla, GE [1 ]
机构
[1] BROOKHAVEN NATL LAB, UPTON, NY 11973 USA
关键词
D O I
10.1103/PhysRevLett.76.4777
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We develop a systematic method to treat the effect of nonlinearity in the energy dispersion on the usual bosonization result for the single-particle Green's function of fermions in arbitrary dimension. The leading corrections due to the quadratic term in the energy dispersion are explicitly calculated. In the Chern-Simons theory for half-filled quantum Hall systems, curvature is shown to be essential.
引用
收藏
页码:4777 / 4780
页数:4
相关论文
共 30 条
[1]  
Abrikosov AA., 1975, Methods of Quantum Field Theory in Statistical Physics
[2]   LOW-ENERGY PROPERTIES OF FERMIONS WITH SINGULAR INTERACTIONS [J].
ALTSHULER, BL ;
IOFFE, LB ;
MILLIS, AJ .
PHYSICAL REVIEW B, 1994, 50 (19) :14048-14064
[3]   DIMENSIONAL CROSSOVER FROM FERMI TO LUTTINGER LIQUID [J].
CASTELLANI, C ;
DICASTRO, C ;
METZNER, W .
PHYSICAL REVIEW LETTERS, 1994, 72 (03) :316-319
[4]   CROSSOVER FROM LUTTINGER TO FERMI-LIQUID BY INCREASING DIMENSION [J].
CASTELLANI, C ;
DICASTRO, C .
PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS, 1994, 235 :99-102
[5]   EXACT SOLUTION OF THE LANDAU FIXED-POINT VIA BOSONIZATION [J].
CASTRO NETO, AH ;
FRADKIN, EH .
PHYSICAL REVIEW B, 1995, 51 (07) :4084-4104
[6]   BOSONIZATION OF FERMI LIQUIDS [J].
CASTRO NETO, AH ;
FRADKIN, E .
PHYSICAL REVIEW B, 1994, 49 (16) :10877-10892
[7]   BOSONIZATION OF THE LOW-ENERGY EXCITATIONS OF FERMI LIQUIDS [J].
CASTRO NETO, AH ;
FRADKIN, E .
PHYSICAL REVIEW LETTERS, 1994, 72 (10) :1393-1397
[8]   APPLICATION OF FUNCTIONAL METHODS IN QUANTUM FIELD THEORY AND QUANTUM STATISTICS (2) [J].
FRADKIN, ES .
NUCLEAR PHYSICS, 1966, 76 (03) :588-&
[9]   LUTTINGER LIQUID THEORY OF ONE-DIMENSIONAL QUANTUM FLUIDS .1. PROPERTIES OF THE LUTTINGER MODEL AND THEIR EXTENSION TO THE GENERAL 1D INTERACTING SPINLESS FERMI GAS [J].
HALDANE, FDM .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1981, 14 (19) :2585-2609
[10]  
HALDANE FDM, 1992, HELV PHYS ACTA, V65, P152