Subdiffusive and superdiffusive quantum transport and generalized duality.

As a generic model for transport of interacting fermions through a barrier or interstitials in a lattice, quantum Brownian motion in a periodic potential is studied. There is a duality transformation between the continuous coordinate or phase representation and the discrete momentum or charge representation for general frequency-dependent damping. Sub-Ohmic friction is mapped on super-Ohmic friction, and vice versa. The mapping is exact for arbitrary barrier height and valid at any temperature. Thus all features of the continuous model can be investigated from analytical or numerical analysis of the discrete model. Nonperturbative results for the frequency-dependent linear mobility including subdiffusive and superdiffusive behaviors are reported.

• Publication year

  1995

• Venue

  Physical Review B (Condensed Matter)

• Publication date

  1995-12-11

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevB.53.R2914arXiv cond-mat/9512076PMID 9983883
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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