Enhanced transport of two interacting quantum walkers in a one-dimensional quasicrystal with power-law hopping

Quantum creep and variable-range hopping of one-dimensional interacting electrons

The variable range hopping results for noninteracting electrons of Mott and Shklovskii are generalized to one-dimensional disordered charge density waves and Luttinger liquids using an instanton approach. Following a recent paper by Nattermann, Giamarchi, and Le Doussal [Nattermann, Giamarchi, and Le Doussal [Phys. Rev. Lett. 91, 56603 (2003)] we calculate the quantum creep of charges at zero t...

Quantum transport of strongly interacting photons in a one-dimensional nonlinear waveguide

Mohammad Hafezi,1,* Darrick E. Chang,2 Vladimir Gritsev,3 Eugene Demler,1 and Mikhail D. Lukin1 1Physics Department, Harvard University, Cambridge, Massachusetts 02138, USA 2Center for the Physics of Information and Institute for Quantum Information, California Institute of Technology, Pasadena, California 91125, USA 3Physics Department, University of Fribourg, Chemin du Musee 3, CH-1700 Fribou...

Non-ohmic variable-range hopping transport in one-dimensional conductors.

We investigate theoretically the effect of a finite electric field on the resistivity of a disordered one-dimensional system in the variable-range hopping regime. We find that at low fields the transport is inhibited by rare fluctuations in the random distribution of localized states that create high-resistance breaks in the hopping network. As the field increases, the breaks become less resist...

Two-dimensional quantum percolation with binary nonzero hopping integrals.

In a previous work [Dillon and Nakanishi, Eur. Phys. J. B 87, 286 (2014)EPJBFY1434-602810.1140/epjb/e2014-50397-4], we numerically calculated the transmission coefficient of the two-dimensional quantum percolation problem and mapped out in detail the three regimes of localization, i.e., exponentially localized, power-law localized, and delocalized, which had been proposed earlier [Islam and Nak...

Disorder-driven transition in a chain with power-law hopping