Abstract
The non-Markovian two-dimensional dynamics of charge carriers in a dissipative non-magnetic medium is studied. The possibility of observing a new classical Hall-type effect in the absence of a magnetic field is predicted.
References
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[7] E. K. Alpomishev, G. G. Adamian, and N. V. Antonenko, Orbital diamagnetism of two-dimen-sional quantum systems in a dissipative environment: Non-Markovian effect and applicationto graphene, Physical Review E 104 (2021) 054120; Two-dimensional open quantum system indissipative bosonic heat bath, external magnetic field, and two time-dependent electric fields,Physical Review E 109 (2024) 044125; Quantum Hall effect in alternating electric field, PhysicalReview B 110 (2024) 174308; Quantum Hall and Shubnikov–de Haas effects in graphene withinnon-Markovian Langevin approach, Symmetry, MDPI 16 (2024) 7; Induced magnetization inanisotropic environment, Physica A 653 (2024) 130063.
[2] Ch. Kittel, Introduction to Solid State Physics, 8th ed., John Wiley & Sons, USA, 2005.
[3] A. O. Caldeira, A. J. Leggett, Influence of dissipation on quantum tunneling in macroscopicsystems, Physical Review Letters 46 (1981) 211; Quantum tunnelling in a dissipative
[4] K. Lindenberg and B. J. West, The Nonequilibrium Statistical Mechanics of Open and ClosedSystems, VCH Publisher, New York, NY, USA, 1990.
[5] H. P. Breuer and F. Petruccione, The Theory of Open Quantum Systems, Oxford UniversityPress, USA, 2002.
[6] Z. Kanokov, Yu. V. Palchikov, G. G. Adamian, N. V. Antonenko, and W. Scheid, Non-Markoviandynamics of quantum systems: I. Formalism and transport coefficients, Physical Review E 71(2005) 016121.
[7] E. K. Alpomishev, G. G. Adamian, and N. V. Antonenko, Orbital diamagnetism of two-dimen-sional quantum systems in a dissipative environment: Non-Markovian effect and applicationto graphene, Physical Review E 104 (2021) 054120; Two-dimensional open quantum system indissipative bosonic heat bath, external magnetic field, and two time-dependent electric fields,Physical Review E 109 (2024) 044125; Quantum Hall effect in alternating electric field, PhysicalReview B 110 (2024) 174308; Quantum Hall and Shubnikov–de Haas effects in graphene withinnon-Markovian Langevin approach, Symmetry, MDPI 16 (2024) 7; Induced magnetization inanisotropic environment, Physica A 653 (2024) 130063.