I. V. Protopopov

Energy transport in the Anderson insulator

We study the heat conductivity in Anderson insulators in the presence of power-law interaction. Particle-hole excitations built on localized electron states are viewed as two-level systems randomly distributed in space and energy and coupled due to electron-electron interaction. A small fraction of these states form resonant pairs that in turn build a complex network allowing for energy propagation. We identify the character of energy transport through this network and evaluate the thermal conductivity. For physically relevant cases of 2D and 3D spin systems with

Half-integer quantum Hall effect of disordered Dirac fermions at a topological insulator surface

1/r^3

Many-particle correlations in a non-equilibrium Luttinger liquid

dipole-dipole interaction (originating from the conventional

LUTTINGER LIQUIDS WITH MULTIPLE FERMI EDGES: GENERALIZED FISHER-HARTWIG CONJECTURE AND NUMERICAL ANALYSIS OF TOEPLITZ DETERMINANTS

1/r

Berezinskii-Kosterlitz-Thouless transition in homogeneously disordered superconducting films

Coulomb interaction between electrons), the found thermal conductivity

Relaxation in Luttinger liquids: Bose-Fermi duality

\kappa

Dissipationless kinetics of one-dimensional interacting fermions

scales with temperature as

Superconductor-insulator transition in disordered Josephson-junction chains

\kappa\propto T^3

Measuring the Luttinger liquid parameter with shot noise

and

Dynamics of waves in one-dimensional electron systems: Density oscillations driven by population inversion

\kappa\propto T^{4/3}