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Recently, the electron transport through a quasi-one dimensional (quasi-1D) electron gas was investigated experimentally as a function of the confining potential. We present a physical model for quantum ballistic transport of electrons…

Mesoscale and Nanoscale Physics · Physics 2018-02-19 Godfrey Gumbs , Danhong Huang , Julie Hon , Michael Pepper , Sanjeev Kumar

The Planar Model of the Electrode-Vacuum-Electrode configuration for STM in which electrode surfaces are assumed to be infinite parallel planes, with atomic size separation and vacuum between them, is used to calculate tunneling current…

Other Condensed Matter · Physics 2023-01-04 Malati Dessai , Arun V. Kulkarni

Quantum transport through devices coupled to electron reservoirs can be described in terms of the full counting statistics (FCS) of charge transfer. Transport observables, such as conductance and shot-noise power are just cumulants of FCS…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 M I Sena-Junior , A M S Macêdo

A theory for a Fermi-liquid-like state in a system of charged bosons at filling factor one is developed, working in the lowest Landau level. The approach is based on a representation of the problem as fermions with a system of constraints,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 N. Read

The tunneling probability between two leads connected by a molecule, a chain, a film, or a bulk polarizable insulator is investigated within a model of an electron tunneling from lead A to a state higher in energy, describing the barrier,…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Peter Nalbach , Walter Harrison

A new variational method for studying the equilibrium states of an interacting particles system has been proposed. The statistical description of the system is realized by means of a density matrix. This method is used for description of…

General Physics · Physics 2014-12-19 Boris Bondarev

We present ground state calculations for low-density Fermi gases described by two model interactions, an attractive square-well potential and a Lennard-Jones potential, of varying strength. We use the optimized Fermi-Hypernetted Chain…

Quantum Gases · Physics 2018-12-18 H. H. Fan , E. Krotscheck , T. Lichtenegger , D. Mateo , R. E. Zillich

We study the nonequlibrium transport through a quantum dot weakly coupled to Luttinger liquids (LL). A general current expression is derived by using nonequilibrium Green function method. Then a special case of the dot with only a single…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yi-feng Yang , Tsung-han Lin

We develop a theory for a generic instability of a Fermi liquid in dimension d>1 against the formation of a Luttinger-liquid-like state. The density of states at the Fermi level is the order parameter for the ensuing quantum phase…

Strongly Correlated Electrons · Physics 2013-10-01 T. R. Kirkpatrick , D. Belitz

In this thesis we derive a hydrodynamical model to describe the dynamics of density excitations localized at the edges of a Quantum Hall bar. In particular we show that the chiral Luttinger liquid model for the edges excitations can be…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Roberto D'Agosta

Suppression of electron current $ \Delta I$ through a 1D channel of length $L$ connecting two Fermi liquid reservoirs is studied taking into account the Umklapp electron-electron interaction induced by a periodic potential. This interaction…

Strongly Correlated Electrons · Physics 2009-10-30 Vadim Ponomarenko , Naoto Nagaosa

We investigate energy resolved electric current from various correlated host materials under out-of-equilibrium conditions. We find that, due to a combined effect of electron-electron interactions, non-equilibrium and multi-particle…

Strongly Correlated Electrons · Physics 2009-11-07 Andrei Komnik , Alexander O. Gogolin

A resolvent formalism is applied to the problem of inelastic scattering of an electron linearly coupled to a set of phonon modes. It is shown how the many phonon mode coupling and excitation can be reduced to a single phonon mode…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. A. Gata

Two infinite, two-dimensional, lattice, free fermion systems, initially in different invariant states, are allowed to communicate via two point contacts, through which direct tunneling of fermions takes place. Calculations of the local…

Mathematical Physics · Physics 2015-03-17 N. Angelescu , M. Bundaru , R. Bundaru , I. Popescu

Process of quantum tunneling of particles in various physical systems can be effectively controlled even by a weak and slow varying in time electromagnetic signal if to adapt specially its shape to a particular system. During an…

Quantum Physics · Physics 2009-02-05 B. I. Ivlev

Variational and diffusion quantum Monte Carlo methods are employed to investigate the zero-temperature phase diagram of the three-dimensional homogeneous electron gas at very low density. Fermi fluid and body-centered cubic Wigner crystal…

Strongly Correlated Electrons · Physics 2022-07-13 Sam Azadi , N. D. Drummond

We investigate the low-energy properties of (quasi) helical and fractional helical Luttinger liquids. In particular, we calculate the Drude peak of the optical conductivity, the density of states, as well as charge transport properties of…

Mesoscale and Nanoscale Physics · Physics 2014-01-24 Tobias Meng , Lars Fritz , Dirk Schuricht , Daniel Loss

The double-well potential is a good example, where we can compute the splitting in the bound state energy of the system due to the tunneling effect with various methods, namely WKB or instanton calculations. All these methods are…

Quantum Physics · Physics 2019-07-18 Fatih Erman , O. Teoman Turgut

We reexamine the tunneling density of states in quantum dots and nanoparticles within the model which is extension of the universal Hamiltonian to the case of uniaxial anisotropic exchange. We derive the exact analytical result for the…

Mesoscale and Nanoscale Physics · Physics 2015-07-30 A. U. Sharafutdinov , I. S. Burmistrov

A Hubbard-Luttinger model is developed for qualitative description of one-dimensional motion of interacting Pi-conductivity-electrons in carbon single-wall nanotubes at low temperatures. The low-lying excitations in one-dimensional electron…

Mesoscale and Nanoscale Physics · Physics 2015-07-17 H. A. Ishkhanyan , V. P. Krainov
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