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Electric conductivity in open one-dimensional constriction

Author

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  • Alpomishev, E.Kh.
  • Adamian, G.G.
  • Antonenko, N.V.

Abstract

The non-Markovian two-dimensional dynamics of a charged particle, that is linearly coupled to a neutral bosonic heat bath, confined in a harmonic oscillator in one direction, and free in the other, is investigated in an external uniform magnetic field and two perpendicular time-dependent electric fields. Analytical expressions are derived for the time-dependent diagonal and non-diagonal electric conductivities. The roles of dissipative and non-Markovian effects are studied in the transport of charged quantum particles. The step-like structure of the diagonal electric conductivity versus magnetic field during the transient process is discussed.

Suggested Citation

  • Alpomishev, E.Kh. & Adamian, G.G. & Antonenko, N.V., 2026. "Electric conductivity in open one-dimensional constriction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 683(C).
    • Handle: RePEc:eee:phsmap:v:683:y:2026:i:c:s0378437125008726
    DOI: 10.1016/j.physa.2025.131220
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    References listed on IDEAS

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    3. Denis Lacroix & Vazgen Sargsyan & Gurgen Adamian & Nikolai Antonenko, 2015. "Description of non-Markovian effect in open quantum system with the discretized environment method," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 88(4), pages 1-8, April.
    4. Abdurakhmanov, I.B. & Adamian, G.G. & Antonenko, N.V. & Kanokov, Z., 2018. "Galvano- and thermo-magnetic effects at low and high temperatures within non-Markovian quantum Langevin approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 613-630.
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