Alternative Derivation of the Mean-Field Equations for Composite Fermions

• 作者: Carlos E. Repetto Edmundo C. Manavella
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: Quantum FIELD THEORY FIELD Theories in Dimensions Other than Four CHERN-SIMONS Gauge THEORY LAGRANGIAN and HAMILTONIAN Formalisms
• 年，卷（期）: 2015,（12）
• 页码范围: 1737-1742
• 页数: 6页
• 分类号: O1

摘要

The Hamiltonian describing a composite fermion system is usually presented in a phenomenological way. By using a classical nonrelativistic U(1) × U(1) gauge field model for the electromagnetic interaction of electrons, we show how to obtain the mean-field Hamiltonian describing composite fermions in 2 + 1 dimensions. In order to achieve this goal, the Dirac Hamiltonian formalism for constrained systems is used. Furthermore, we compare these results with the ones corresponding to the inclusion of a topological mass term for the electromagnetic field in the Lagrangian.