FIELD-THEORY OF ANYONS AND THE FRACTIONAL QUANTUM HALL-EFFECT

被引:42
作者
EZAWA, ZF [1 ]
HOTTA, M [1 ]
IWAZAKI, A [1 ]
机构
[1] NISHOGAKUSHA UNIV,DEPT PHYS,SHONAN 277,JAPAN
来源
PHYSICAL REVIEW B | 1992年 / 46卷 / 12期
关键词
D O I
10.1103/PhysRevB.46.7765
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We present a microscopic theory of the fractional quantum Hall effect and its hierarchy structure on the basis of a Chern-Simons gauge theory. Our Hamiltonian contains a renormalized term (absolute value of alpha/m)absolute value of psi4 which plays important roles. It is shown field theoretically that the system of the planar electrons in a strong magnetic field yields a hierarchy of the fractional quantum Hall states, which are a condensed phase of the bosonized electrons and vortices. It is discussed in detail how the Coulomb interaction between electrons plays a crucial role in this phenomenon.
引用
收藏
页码:7765 / 7781
页数:17
相关论文
共 44 条
[1]  
[Anonymous], 1959, REV MATH PURES APPL
[2]   MANY ANYON WAVE-FUNCTIONS IN A CONSTANT MAGNETIC-FIELD [J].
CHO, KH ;
RIM, CH .
ANNALS OF PHYSICS, 1992, 213 (02) :295-311
[3]   JASTROW-SLATER TRIAL WAVE-FUNCTIONS FOR THE FRACTIONAL QUANTUM HALL-EFFECT - RESULTS FOR FEW-PARTICLE SYSTEMS [J].
DEV, G ;
JAIN, JK .
PHYSICAL REVIEW B, 1992, 45 (03) :1223-1230
[4]   EXACT MULTI-ANYON WAVE-FUNCTIONS IN A MAGNETIC-FIELD [J].
DUNNE, G ;
LERDA, A ;
SCIUTO, S ;
TRUGENBERGER, CA .
NUCLEAR PHYSICS B, 1992, 370 (03) :601-635
[5]   NEW FRACTIONAL QUANTUM HALL STATE IN DOUBLE-LAYER 2-DIMENSIONAL ELECTRON-SYSTEMS [J].
EISENSTEIN, JP ;
BOEBINGER, GS ;
PFEIFFER, LN ;
WEST, KW ;
HE, S .
PHYSICAL REVIEW LETTERS, 1992, 68 (09) :1383-1386
[6]  
Ezawa Z. F., 1992, Modern Physics Letters B, V6, P737, DOI 10.1142/S0217984992000818
[7]   BREATHING VORTEX SOLITONS IN NONRELATIVISTIC CHERN-SIMONS GAUGE-THEORY [J].
EZAWA, ZF ;
HOTTA, M ;
IWAZAKI, A .
PHYSICAL REVIEW LETTERS, 1991, 67 (04) :411-414
[8]   NONRELATIVISTIC CHERN-SIMONS VORTEX SOLITONS IN EXTERNAL MAGNETIC-FIELD [J].
EZAWA, ZF ;
HOTTA, M ;
IWAZAKI, A .
PHYSICAL REVIEW D, 1991, 44 (02) :452-463
[9]  
EZAWA ZF, 1991, PHYS REV LETT, V67, P1475, DOI 10.1103/PhysRevLett.67.1475.2
[10]   CHERN-SIMONS GAUGE-THEORIES FOR THE FRACTIONAL-QUANTUM-HALL-EFFECT HIERARCHY AND ANYON SUPERCONDUCTIVITY [J].
EZAWA, ZF ;
IWAZAKI, A .
PHYSICAL REVIEW B, 1991, 43 (04) :2637-2641