arXiv subjects

Anton Andreev

Publications and source records attributed to Anton Andreev.

23 records · Page 2Linked to original sources

arXiv2012

Manifestations of electron interactions in photogalvanic effect in chiral nanotubes

Carbon nanotubes provide one of the most accessible experimental realizations of one dimensional electron systems. In the experimentally relevant regime of low doping the Luttinger liquid formed by electrons may be approximated by a Wigner crystal. The crystal-like electronic order suggests that nanotubes exhibit effects similar to the Mössbauer effect where the momentum of an emitted photon is absorbed by the whole crystal. We show that the circular photovoltaic effect in chiral nanotubes is of the same nature. We obtain the frequency dependence of the photovoltage and characterize its singularities in a broad frequency range where the electron correlations are essential. Our predictions provide a basis for using the photogalvanic effect as a new experimental probe of electron correlations in nanotubes.

cond-mat.mes-hall↗

arXiv2007

Propagation of coherent waves in elastically scattering media

A general method for calculating statistical properties of speckle patterns of coherent waves propagating in disordered media is developed. It allows one to calculate speckle pattern correlations in space, as well as their sensitivity to external parameters. This method, which is similar to the Boltzmann-Langevin approach for the calculation of classical fluctuations, applies for a wide range of systems: From cases where the ray propagation is diffusive to the regime where the rays experience only small angle scattering. The latter case comprises the regime of directed waves where rays propagate ballistically in space while their directions diffuse. We demonstrate the applicability of the method by calculating the correlation function of the wave intensity and its sensitivity to the wave frequency and the angle of incidence of the incoming wave.

cond-mat.dis-nn↗

arXiv2000

Counting Statistics of an Adiabatic Pump

We consider quantum statistics of charge transmitted through a mesoscopic device in the adiabatic pumping process. A general formula for the distribution function of the transmitted charge in terms of the time-dependent S-matrix is obtained. It is applied to a few simple examples of the pumping cycles. We identify coherent pumping strategies which lead to the binomial charge distribution and minimize the fluctuations of the pumped current. Conditions for the ideal noiseless quantized pump are discussed.

cond-mat.mes-hall↗

arXiv1998

Electron--electron Interactions in Disordered Metals: Keldysh Formalism

We develop a field theory formalism for the disordered interacting electron liquid in the dynamical Keldysh formulation. This formalism is an alternative to the previously used replica technique. In addition it naturally allows for the treatment of non-equilibrium effects. Employing the gauge invariance of the theory and carefully choosing the saddle point in the $Q$-matrix manifold, we separate purely phase effects of the fluctuating potential from the ones that change quasi-particle dynamics. As a result, the cancellation of super-divergent diagrams (double logarithms in d=2) is automatically build in the formalism. As a byproduct we derive a non--perturbative expression for the single particle density of states. The remaining low-energy sigma--model describes the quantum fluctuations of the electron distribution function. Its saddle point equation appears to be the quantum kinetic equation with an appropriate collision integral along with collisionless terms. Altshuler-Aronov corrections to conductivity are shown to arise from the one-loop quantum fluctuation effects.

cond-mat.dis-nn↗

arXiv1997

On the Nature of Infrared Singularities in $d\leq 2$ Disordered Interacting Systems

We address the problem of infrared singularities in the perturbation theory for disordered interacting systems in $d\leq 2$. We show that a typical, sufficiently large interacting system exhibits a linear instability in the spin triplet channel. In a density-density channel, although stability is preserved, a large number of soft modes is accumulated. These phenomena are responsible for the instability of the weak-interacting fixed point. Although generic, the unstable direction and soft modes are highly sample specific and can not be effectively captured by conventional techniques based on an averaging procedure. Rather, the instability is determined by the largest eigenvalues of the polarization operator. We propose to employ the optimal fluctuation method for evaluating the probability of such events.

cond-mat.dis-nn↗