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Novikov D. | Novikov I. | Novikov S. P. | Novikov V. A. | Novikov I. D. | Novikov Roman | Novikov A. | Novikov S. V. | Novikov Dmitry | Novikov Alexei

D Ph. | d | D M. | D Jerin Mohan N | D Vishwanath | D El Basha Mohammad | D Harish | D Prasad Reddy P. V. G. | D Abhilash Y | D Adi Zief-Balteriski Ph.

S Sreelekha | S Athira B | S Hrishikesh P | S Rahul | S Lakshmi Prabha | S Sowmya Kamath | S Suraj Krishna M | S Aparna Lakshmanan | S Karthik Pandia D | S Senthil Velan

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Temperature-dependent Drude transport in a two-dimensional electron gas

Novikov D. S.
22 Oct 2008 cond-mat.mes-hall cond-mat.dis-nn cond-mat.mtrl-sci arxiv.org/abs/0810.4198

We consider transport of dilute two-dimensional electrons, with temperature between Fermi and Debye temperatures. In this regime, electrons form a nondegenerate plasma with mobility limited by potential disorder. Different kinds of impurities contribute unique signatures to the resulting temperature-dependent Drude conductivity, via energy-dependent scattering. This opens up a way to characterize sample disorder composition. In particular, neutral impurities cause a slow decrease in conductivity with temperature, whereas charged impurities result in conductivity growing as a square root of temperature. This observation serves as a precaution for literally interpreting metallic or insulating conductivity dependence, as both can be found in a classical metallic system.

Transverse NMR relaxation in magnetically heterogeneous media

Novikov D. S., Kiselev V. G.
30 Jan 2008 cond-mat.mes-hall cond-mat.mtrl-sci cond-mat.soft arxiv.org/abs/0801.4765

We consider the NMR signal from a permeable medium with a heterogeneous Larmor frequency component that varies on a scale comparable to the spin-carrier diffusion length. We focus on the mesoscopic part of the transverse relaxation, that occurs due to dispersion of precession phases of spins accumulated during diffusive motion. By relating the spectral lineshape to correlation functions of the spatially varying Larmor frequency, we demonstrate how the correlation length and the variance of the Larmor frequency distribution can be determined from the NMR spectrum. We corroborate our results by numerical simulations, and apply them to quantify human blood spectra.

Effect of disorder on a graphene p-n junction

Fogler M. M., Glazman L. I., Novikov D. S., Shklovskii B. I.
10 Oct 2007 cond-mat.mes-hall cond-mat.mtrl-sci arxiv.org/abs/0710.2150

We propose the theory of transport in a gate-tunable graphene p-n junction, in which the gradient of the carrier density is controlled by the gate voltage. Depending on this gradient and on the density of charged impurities, the junction resistance is dominated by either diffusive or ballistic contribution. We find the conditions for observing ballistic transport and show that in existing devices they are satisfied only marginally. We also simulate numerically the trajectories of charge carriers and illustrate challenges in realizing more delicate ballistic effects, such as Veselago lensing.

Critical conductance of a one-dimensional doped Mott insulator

Garst M., Novikov D. S., Stern Ady, Glazman L. I.
03 Aug 2007 cond-mat.mes-hall cond-mat.str-el arxiv.org/abs/0708.0545

We consider the two-terminal conductance of a one-dimensional Mott insulator undergoing the commensurate-incommensurate quantum phase transition to a conducting state. We treat the leads as Luttinger liquids. At a specific value of compressibility of the leads, corresponding to the Luther-Emery point, the conductance can be described in terms of the free propagation of non-interacting fermions with charge e/\sqrt{2}. At that point, the temperature dependence of the conductance across the quantum phase transition is described by a Fermi function. The deviation from the Luther-Emery point in the leads changes the temperature dependence qualitatively. In the metallic state, the low-temperature conductance is determined by the properties of the leads, and is described by the conventional Luttinger liquid theory. In the insulating state, conductance occurs via activation of e/\sqrt{2} charges, and is independent of the Luttinger liquid compressibility.

Numbers of donors and acceptors from transport measurements in graphene

Novikov D. S.
07 Jul 2007 cond-mat.mes-hall cond-mat.mtrl-sci arxiv.org/abs/0707.1106

A method is suggested to separately determine the surface density of positively and negatively charged impurities that limit the mobility in a graphene monolayer. The method is based on the exact result for the transport cross-section, according to which the massless carriers are scattered more strongly when they are attracted to a charged impurity than when they are repelled from it.

Screening of a hypercritical charge in graphene

Fogler M. M., Novikov D. S., Shklovskii B. I.
06 Jul 2007 cond-mat.mes-hall cond-mat.mtrl-sci arxiv.org/abs/0707.1023

Screening of a large external charge in graphene is studied. The charge is assumed to be displaced away or smeared over a finite region of the graphene plane. The initial decay of the screened potential with distance is shown to follow the 3/2 power. It gradually changes to the Coulomb law outside of a hypercritical core whose radius is proportional to the external charge.

Elastic scattering theory and transport in graphene

Novikov D. S.
11 Jun 2007 cond-mat.mes-hall cond-mat.mtrl-sci arxiv.org/abs/0706.1391

Electron properties of graphene are described in terms of Dirac fermions. Here we thoroughly outline the elastic scattering theory for the two-dimensional massive Dirac fermions in the presence of an axially symmetric potential. While the massless limit is relevant for pristine graphene, keeping finite mass allows for generalizations onto situations with broken symmetry between the two sublattices, and provides a link to the scattering theory of electrons in a parabolic band. We demonstrate that the Dirac theory requires short-distance regularization for potentials which are more singular than 1/r. The formalism is then applied to scattering off a smooth short-ranged potential. Next we consider the Coulomb potential scattering, where the Dirac theory is consistent for a point scatterer only for the effective impurity strength below 1/2. From the scattering phase shifts we obtain the exact Coulomb transport cross-section in terms of the impurity strength. The results are relevant for transport in graphene in the presence of impurities that do not induce scattering between the Dirac points in the Brillouin zone.

Transverse field effect in graphene ribbons

Novikov D. S.
08 Apr 2007 cond-mat.mes-hall cond-mat.mtrl-sci arxiv.org/abs/0704.1052

It is shown that a graphene ribbon, a ballistic strip of carbon monolayer, may serve as a quantum wire whose electronic properties can be continuously and reversibly controlled by an externally applied transverse voltage. The electron bands of armchair-edge ribbons undergo dramatic transformations: The Fermi surface fractures, Fermi velocity and effective mass change sign, and excitation gaps are reduced by the transverse field. These effects are manifest in the conductance plateaus, van Hove singularities, thermopower, and activated transport. The control over one-dimensional bands may help enhance effects of electron correlations, and be utilized in device applications.

Interaction effects in the transport of two-dimensional holes in GaAs

Huang Jian, Novikov D. S., Tsui D. C., Pfeiffer L. N., West K. W.
11 Oct 2006 cond-mat.mes-hall cond-mat.str-el arxiv.org/abs/cond-mat/0610320

The power-law increase of the conductivity with temperature in the nominally insulating regime, recently reported for the dilute two-dimensional holes [cond-mat/0603053], is found to systematically vary with the carrier density. Based on the results from four different GaAs heterojunction-insulated-gate field-effect-transistor samples, it is shown that the power law exponent depends on a single dimensionless parameter, the ratio between the mean carrier separation and the distance to the metallic gate that screens the Coulomb interaction. This dependence suggests that the carriers form a correlated state in which the interaction effects play a significant role in the transport properties.

Viscosity of a two-dimensional Fermi liquid

Novikov D. S.
07 Mar 2006 cond-mat.mes-hall cond-mat.str-el arxiv.org/abs/cond-mat/0603184

Shear viscosity of a two-dimensional Fermi liquid is found to be a nonanalytic function of temperature. In contrast to the quasiparticle lifetime that is determined by the forward-scattering processes, the main contribution to the viscosity arises from the quasiparticle scattering in the Cooper channel. The viscosity is enhanced by the logarithmic singularity of the vertex part. This singular behavior can manifest itself in the two-dimensional electron transport, and in the momentum relaxation of fermions in atomic traps.