Effective Interactions of Planar Fermions in a Strong Magnetic Field-the Effect of Landau Level Mixing
نویسنده
چکیده
We obtain expressions for the current operator in the lowest Landau level (L.L.L.) field theory, where higher Landau level mixing due to various external and interparticle interactions is sytematically taken into account. We consider the current operators in the presence of electromagnetic interactions, both Coulomb and time-dependent, as well as local four-fermi interactions. The importance of Landau level mixing for long-range interactions is especially emphasized. We also calculate the edge-current for a finite sample. E-mail address: [email protected]. E-mail address: [email protected].
منابع مشابه
Non-Relativistic Limit of Neutron Beta-Decay Cross-Section in the Presence of Strong Magnetic Field
One of the most important reactions of the URCA that lead to the cooling of a neutron star, is neutron beta-decay ( ). In this research, the energy spectra and wave functions of massive fermions taking into account the Anomalous Magnetic Moment (AMM) in the presence of a strong changed magnetic field are calculated. For this purpose, the Dirac-Pauli equation for charged and neutral fermions is ...
متن کاملUniversality and the magnetic catalysis of chiral symmetry breaking
Field theoretical models in external electromagnetic fields are of great interest and have attracted a lot of attention [1–4]. They are relevant to the study of many physical systems whose properties depend on the effects produced by external fields, especially when such effects are non-perturbative in nature. A particular example of such a situation is the so-called magnetic catalysis of chira...
متن کاملMagnetic Backgrounds and Noncommutative Field Theory
• Introduction • Strong Magnetic Fields (a) The Landau problem (b) The lowest Landau level (c) Field theory • String Theory and D-Branes (a) Noncommutative geometry in string theory (b) D-branes (c) String theory in magnetic fields • Noncommutative Quantum Field Theory (a) Fundamental aspects (b) UV/IR mixing (c) Gauge interactions (d) Violations of special relativity • The Fractional Quantum H...
متن کاملSkyrmions and composite fermions in the limit of vanishing Zeeman energy
We describe the properties of a strongly interacting two-dimensional (2D) electron gas in high magnetic fields whose properties can be described in terms of the formation of composite fermions at fractional Landau level occupancy. For a Landau level occupancy ν = 1 the excitations correspond to spin waves for high g-factors and magnetic fields, but when the g-factor is reduced close to zero by ...
متن کاملThe Electromagnetic Interactions of Electrons in the Lowest Landau Level
Starting from a system of planar electrons in a strong magnetic field normal to the plane, interacting with perturbing electromagnetic fields, an effective Lagrangian for the fermions in the lowest Landau level (L.L.L.) has been derived. By choosing a suitable background electrostatic potential, an incompressible droplet of these electrons is constructed. The gauge invariant effective Lagrangia...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1994