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Yu, Y; Su, ZB; Dai, X; Yu, Y , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
Effective mass of composite fermions and fermionic Chern-Simons theory in the temporal gauge
Source PublicationPHYSICAL REVIEW B
KeywordFilled Landau-level Low-energy Properties Quantum Hall States Response Functions Vortex Dynamics Liquid Systems Field Superconductors Excitations
AbstractThe definitions of the effective mass for the composite fermion are discussed in half filled lowest-Landau-level systems. In a recent work, Shankar and Murthy show a finite effective mass for the composite fermion using a canonical transformation, while the perturbative calculation gives the logarithmic divergent one at the Fermi surface. We emphasize that the definition of the effective mass depends on how strong the low-frequency Chern-Simons fluctuations are in the physical process. We work with the standard Halperin-Lee-Read model in the temporal gauge. The advantage of this gauge is that the finite effective mass may be calculated in the Hartree-Fock approximation. Furthermore, it is precisely equal to the result obtained by Shankar and Murthy, which fits very well the numerical calculation from the ground-state energy analysis as well as the semiclassical estimation. However, if we consider further the random-phase approximation, we find that the divergence of the effective mass at the Fermi surface emerges again whether we work. with the temporal or Coulomb gauge. On the other hand, the behavior of the response functions in the small band mass limit is discussed systematically in the lowest-order calculation if there exists a self-interaction among the magnetoplasmons. [S0163-1829(98)00516-5].
1998
ISSN0163-1829
Volume57Issue:16Pages:9897-9906
Subject AreaPhysics
Indexed BySCI
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/12322
Collection理论物理所科研产出_SCI论文
Corresponding AuthorYu, Y , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
Recommended Citation
GB/T 7714
Yu, Y,Su, ZB,Dai, X,et al. Effective mass of composite fermions and fermionic Chern-Simons theory in the temporal gauge[J]. PHYSICAL REVIEW B,1998,57(16):9897-9906.
APA Yu, Y,Su, ZB,Dai, X,&Yu, Y , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China..(1998).Effective mass of composite fermions and fermionic Chern-Simons theory in the temporal gauge.PHYSICAL REVIEW B,57(16),9897-9906.
MLA Yu, Y,et al."Effective mass of composite fermions and fermionic Chern-Simons theory in the temporal gauge".PHYSICAL REVIEW B 57.16(1998):9897-9906.
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