129 citations · 308 across the 8 of their papers we have counts for
11 papers
Spin exchange in quantum rings and wires in the Wigner-crystal limit
Michael M. Fogler, Eugene Pivovarov
We present a controlled method for computing the exchange coupling in strongly correlated one-dimensional electron systems. It is based on the asymptotically exact relation between…
Non-Ohmic variable-range hopping transport in one-dimensional conductors
M. M. Fogler, R. S. Kelley
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 l…
Short-range correlations and spin-mode velocities in ultrathin one-dimensional conductors
M. M. Fogler
In ultrathin wires positioned on high-k dielectric substrates or nearby metallic gates electrons can form strongly correlated one-dimensional fluids already at rather high electron…
Electrostatics of two-dimensional structures: exact solutions and approximate methods
M. M. Fogler
We consider a set of electrostatic problems relevant for determining the real-space structure and the ground-state energy of a two-dimensional electron liquid subject to smooth ext…
Nonlinear screening and percolative transition in a two-dimensional electron liquid
Michael M. Fogler
A novel variational method is proposed for calculating the percolation threshold, the real-space structure, and the thermodynamical compressibility of a disordered two-dimensional…
Variable-range hopping in quasi-one-dimensional electron crystals
M. M. Fogler, S. Teber, B. I. Shklovskii
We study the effect of impurities on the ground state and the low-temperature dc transport in a 1D chain and quasi-1D systems of many parallel chains. We assume that strong interac…