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The theoretical model of the short-range interacting Luttinger liquid predicts a power-law scaling of the density of states and the momentum distribution function around the Fermi surface, which can be readily tested through tunneling…

Strongly Correlated Electrons · Physics 2020-06-01 DinhDuy Vu , Anibal Iucci , Sankar Das Sarma

We investigate the influence of electron--electron interactions on the density of states of a ballistic two--dimensional electron gas. The density of states is determined nonperturbatively by means of path integral techniques allowing for…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Joerg Rollbuehler , Hermann Grabert

We calculate the tunneling density of states of a two-dimensional interacting electron gas in a quantizing magnetic field. We show that the observed pseudogap in the density of states can be understood as the result of an infrared…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Kelly R. Patton , Michael R. Geller

We study the frequency and space dependence of the local tunneling density of states of a Luttinger liquid (LL) which is connected to a superconductor. This coupling {\em strongly} modifies the single-particle properties of the LL. It…

Condensed Matter · Physics 2009-10-28 C. Winkelholz , Rosario Fazio , F. W. J. Hekking , Gerd Schön

For a non-superconducting system, the electronic tunneling current through an insulating barrier is calculated, including interaction effects. The exact Hamiltonian of the full system is projected onto the subspaces of the "left" and…

Mesoscale and Nanoscale Physics · Physics 2010-07-09 Kelly R. Patton

We investigate theoretically the simultaneous tunneling of two electrons from a superconductor into a normal metal at low temperatures and voltages. Such an emission process is shown to be equivalent to the Andreev reflection of an incident…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. Prada , F. Sols

We develop a theory of tunneling spectroscopy of interacting electrons in a non-equilibrium quantum wire coupled to reservoirs. The problem is modelled as an out-of-equilibrium Luttinger liquid with spatially dependent interaction. The…

Mesoscale and Nanoscale Physics · Physics 2009-07-09 D. B. Gutman , Yuval Gefen , A. D. Mirlin

We study tunneling of weakly-interacting spinless electrons at zero temperature through a single delta-barrier in one-dimensional wires and rings of finite lengths. Our numerical calculations are based on the self-consistent Hartree-Fock…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Andrej Gendiar , Martin Mosko , Pavel Vagner , Radoslav Nemeth

The electrodynamical response of the edge of a compressible Quantum Hall system affects tunneling into the edge. Using the composite Fermi liquid theory, we derive an effective action for the edge modes interacting with tunneling charge.…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 L. S. Levitov , A. V. Shytov , B. I. Halperin

Strongly correlated transport of interacting electrons through the one-dimensional tunnel contact is considered within the Luttinger liquid model of one-dimensional electrodes on arbitrary time scales $ t> \hbar /\Lambda_{g} $. Using…

Strongly Correlated Electrons · Physics 2022-07-20 Taras Hutak , Gleb Skorobagatko

Electron tunneling into a system with strong interactions is known to exhibit an anomaly, in which the tunneling conductance vanishes continuously at low energy due to many-body interactions. Recent measurements have probed this anomaly in…

Strongly Correlated Electrons · Physics 2018-05-17 Debanjan Chowdhury , Brian Skinner , Patrick A. Lee

We calculate the tunneling density of states for a Tomonaga-Luttinger liquid placed under a strong bias voltage. For the tunneling through a side-coupled point contact, one can observe the power law singularities in the tunneling density of…

Mesoscale and Nanoscale Physics · Physics 2011-02-04 Maxim Trushin , A. L. Chudnovskiy

Nanoscale optoelectronics and molecular-electronics systems operate with current injection and nonequilibrium tunneling, phenomena that challenge consistent descriptions of the steady-state transport. The current affects the…

Other Condensed Matter · Physics 2009-11-13 Per Hyldgaard

Currents across thin insulators are commonly taken as single electrons moving across classically forbidden regions; this independent particle picture is well-known to describe most tunneling phenomena. Examining quantum transport from a…

Materials Science · Physics 2007-05-23 Giorgos Fagas , Paul Delaney , James C. Greer

Interactions between electrons in solids are often behind exciting novel effects such as ferromagnetism, antiferromagnetism and superconductivity. All these phenomena break away from the single-electron picture, instead having to take into…

Strongly Correlated Electrons · Physics 2022-07-05 P. M. T. Vianez , O. Tsyplyatyev , C. J. B. Ford

Understanding the effects of nonequilibrium on strongly interacting quantum systems is a challenging problem in condensed matter physics. In dimensions greater than one, interacting electrons can often be understood within Fermi-liquid…

Strongly Correlated Electrons · Physics 2015-05-14 So Takei , Mirco Milletari' , Bernd Rosenow

We calculate the low-energy tunneling density of states $\nu(\epsilon, T)$ of an $N$-channel disordered wire, taking into account the electron-electron interaction non-perturbatively. The finite scattering rate $1/\tau$ results in a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. G. Mishchenko , A. V. Andreev , L. I. Glazman

We consider the problem of electron transport along a one-dimensional disordered multiple-scattering conductor, and study the electron density for all the electronic levels. A model is proposed for the reduced density matrix of the system…

Disordered Systems and Neural Networks · Physics 2023-03-14 Gerardo Rivas , Miztli Yepez , Pier A. Mello

We derive and evaluate expressions for the low temperature {\it dc} equilibrium tunneling conductance between parallel two-dimensional electron systems. Our theory is based on a linear-response formalism and on impurity-averaged…

Condensed Matter · Physics 2009-10-22 Lian Zheng , A. H. MacDonald

The chiral Luttinger liquid model for the edge dynamics of a two-dimensional electron gas in a strong magnetic field is derived from coarse-graining and a lowest Landau level projection procedure at arbitrary filling factors $\nu<1$ --…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Roberto D'Agosta , Roberto Raimondi , Giovanni Vignale
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