Journal ArticleDOI
Systems of particles with random mass
Zh S Gevorkian,Yu. E. Lozovik +1 more
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In this paper, the density of states of a two-dimensional electron gas with random mass in a perpendicular strong magnetic field is calculated, and the low-lying long-wave excitations of this system are described by the non-linear matrix sigma -model.Abstract:
The kinetic and spectral properties of systems with random mass are considered. The conductivity sigma 0 of an electron gas with random effective mass is calculated in the coherent potential approximation. The authors show that the low-lying long-wave excitations of this system are described by the non-linear matrix sigma -model. The density of states of a two-dimensional electron gas with random mass in a perpendicular strong magnetic field is calculated.read more
Citations
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Exact quantum theory of noninteracting electrons with time-dependent effective mass in a time-dependent magnetic field
TL;DR: In this article, the authors investigated the quantum states of a free electron with time-dependent effective mass subjected to a timedependent magnetic field by solving the Schrodinger equation under the choice of Landau and symmetric gauges.
Journal ArticleDOI
An alternative approach to exact wave functions for time-dependent coupled oscillator model of charged particle in variable magnetic field
TL;DR: In this paper, a general treatment of quantal time-dependent coupled oscillators in presence of the variable magnetic field is presented, based on the use of an alternative canonical transformation, timedependent unitary transformations and the invariant methods.
Journal ArticleDOI
An alternative approach to exact wave functions for time-dependent coupled oscillator model of charged particle in variable magnetic field
TL;DR: In this article, the quantum states of time-dependent coupled oscillator model for charged particles subjected to variable magnetic field are investigated using the invariant operator methods using the unitary transformation approach, available in the framework of quantum mechanics, as well as a generalized canonical transformation method in the classical regime.
Journal ArticleDOI
The time-dependent coupled oscillator model for the motion of a charged particle in the presence of a time-varying magnetic field
TL;DR: In this article, the dynamics of the time-dependent coupled oscillator model for the motion of a charged particle subjected to a timedependent external magnetic field is investigated, and the canonical transformation approach for the classical treatment of the system, whereas the unitary transformation approach is used in managing the system in the framework of quantum mechanics.
Journal ArticleDOI
A hybrid approach for quantizing complicated motion of a charged particle in time-varying magnetic field
Salah Menouar,Jeong Ryeol Choi +1 more
TL;DR: In this article, the SU(1,1) Lie algebraic approach together with the invariant operator and the unitary transformation methods was used to study the quantum properties of a charged particle subjected to a singular oscillator potential under an external magnetic field.
References
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Journal ArticleDOI
Disordered electronic systems
TL;DR: In this article, a review of the progress made in the last several years in understanding the properties of disordered electronic systems is presented, focusing on the metal-to-insulator transition and problems associated with the insulator.
Journal ArticleDOI
Supersymmetry and theory of disordered metals
TL;DR: In this paper, the supersymmetry method has been used for the analysis of the motion of an electron in a disordered system, which has led to a number of remarkable results especially those concerned with localization and the importance of dimensionality.
Journal ArticleDOI
The mobility edge problem: Continuous symmetry and a conjecture
TL;DR: An apparently overlooked symmetry of the disordered electron problem is derived in this article, which yields the well-known Ward-identity connecting the one and two-particle Green's function and conjecture that the critical behaviour near the mobility edge coincides with that of interacting matrices which have two different eigenvalues of multiplicity zero (due to replicas).
Journal ArticleDOI
Disordered system withn orbitals per site: Lagrange formulation, hyperbolic symmetry, and goldstone modes
Lothar Schäfer,Franz Wegner +1 more
TL;DR: In this article, a Lagrangian formulation of the gauge invariant n-orbital model for disordered electronic systems was given, without use of diagrams, and it identifies the previously discussed n→∞ limit as the saddle-point approximation of the Lagrangians formulation.
Journal ArticleDOI
On localization in the theory of the quantized hall effect: A two-dimensional realization of the θ-vacuum
TL;DR: In this article, it was shown that the localization problem in the theory of the quantized Hall effect is governed by the zero-component grassmannian U(2 m ) non-linear σ-model with θ-term, a two-dimensional analogue of the θvacuum in Yang-Mills theory.
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