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We review the mechanisms of low-temperature electron transport across a quantum dot weakly coupled to two conducting leads. Conduction in this case is controlled by the interaction between electrons. At temperatures moderately lower than…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 L. I. Glazman , M. Pustilnik

The determination of the Landau free energy (the grand thermodynamic potential) by a perturbation theory is advanced to arbitrary order for the specific case of non-interacting fermionic systems perturbed by a one-particle potential.…

Statistical Mechanics · Physics 2018-07-11 Cezary Sliwa , Tomasz Dietl

We establish an explicit correspondence between perturbative and nonperturbative results in the problem of quantum decoherence in disordered conductors. We demonstrate that the dephasing time $\tau_{\phi}$ cannot be unambiguously extracted…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. S. Golubev , A. D. Zaikin

We present measurements of current noise in quantum point contacts as a function of source-drain bias, gate voltage, and in-plane magnetic field. At zero bias, Johnson noise provides a measure of the electron temperature. At finite bias,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 L. DiCarlo , Yiming Zhang , D. T. McClure , D. J. Reilly , C. M. Marcus , L. N. Pfeiffer , K. W. West , M. P. Hanson , A. C. Gossard

The perturbative approach was adopted to develop a temperature-dependent version of non-relativistic quantum mechanics in the limit of low-enough temperatures. A generalized, self-consistent Hamiltonian was therefore constructed for an…

Quantum Physics · Physics 2021-03-08 Ashkan Shekaari , Mahmoud Jafari

We study the effects of electron-electron interaction on the critical properties of the plateau transitions in the {\it integer} quantum Hall effect. We find the renormalization group dimension associated with short-range interactions to be…

Condensed Matter · Physics 2009-10-28 Dung-Hai Lee , Ziqiang Wang

The temperature dependence of Coulomb blockade peaks of a one dimensional quantum dot is calculated. The Coulomb interaction is treated microscopically using the Luttinger liquid model. The electron interaction is assumed to be…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 T. Kleimann , M. Sassetti , B. Kramer

We calculate the magnetic-field and temperature dependence of all quantum corrections to the ensemble-averaged conductance of a network of quantum dots. We consider the limit that the dimensionless conductance of the network is large, so…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Joern N. Kupferschmidt , Piet W. Brouwer

We consider a two-dimensional electron system with Coulomb interaction between particles at a finite temperature T. We show that the dynamic Kohn anomaly in the response function at 2K_F leads to a linear-in-T correction to the spin…

Strongly Correlated Electrons · Physics 2009-11-11 Victor Galitski , A. V. Chubukov , S. Das Sarma

We describe how a local non-equilibrium nuclear polarisation can be generated and detected by electrical means in a semiconductor quantum point contact device. We show that measurements of the nuclear spin relaxation rate will provide clear…

Mesoscale and Nanoscale Physics · Physics 2008-06-26 N. R. Cooper , V. Tripathi

We calculate the temperature dependence of conductivity due to interaction correction for a disordered itinerant electron system close to a ferromagnetic quantum critical point which occurs due to a spin density wave instability. In the…

Strongly Correlated Electrons · Physics 2009-11-13 I. Paul

We analyze the effect of Coulomb interaction on the noise of electric current through an open quantum dot. We demonstrate that the ensemble average value of the noise power acquires an interaction correction even for a dot coupled to the…

Mesoscale and Nanoscale Physics · Physics 2007-11-15 G. Catelani , M. G. Vavilov

The breakdown of conductance quantization in a quantum point contact in the presence of random long-range impurity potential is discussed. It is shown that in the linear response regime a decisive role is played by the indirect…

Condensed Matter · Physics 2007-05-23 A. M. Zagoskin , S. N. Rashkeev , R. I. Shekhter , G. Wendin

We study thermal transport in a one-dimensional quantum wire, connected to reservoirs. Despite of the absence of electron backscattering, interactions in the wire strongly influence thermal transport. Electrons propagate with unitary…

Mesoscale and Nanoscale Physics · Physics 2019-08-17 Rosario Fazio , F. W. J. Hekking , D. E. Khmelnitskii

The tunneling conductance is calculated as a function of the gate voltage in wide temperature range for the single quantum dot systems with Coulomb interaction. We assume that two orbitals are active for the tunneling process. We show that…

Strongly Correlated Electrons · Physics 2009-10-31 Wataru Izumida , Osamu Sakai , Yukihiro Shimizu

We study non-equilibrium differential conductance and current fluctuations in a single quantum point contact. The two-terminal electrical transport properties -- differential conductance and shot noise -- are measured at 1.5 K as a function…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. Y. Kim , W. D. Oliver , Y. Yamamoto , Y. Hirayama

The advancement of fabrication and lithography techniques of semiconductors have made it possible to study bi-layer systems made of two electronic layers separated by distances of several hundred Angstroms. In this situation the electrons…

Strongly Correlated Electrons · Physics 2009-10-31 A. G. Rojo

We study thermoelectric effects in Kondo correlated quantum dot coupled to ferromagnetic electrodes by calculating conductance, thermopower and thermal conductance in the Kondo regime. We also study the effect of the asymmetry in the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 M. Krawiec , K. I. Wysokinski

We study effects of electron correlation on the transport through a small interacting system connected to reservoirs using an effective Hamiltonian which describes the free quasi-particles of a Fermi liquid. The effective Hamiltonian is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Akira Oguri

We investigate the entanglement and the R\'enyi entropies of two electronic leads connected by a quantum point contact. For non-interacting electrons, the entropies can be related to the cumulants of the full counting statistics of…

Mesoscale and Nanoscale Physics · Physics 2015-03-12 Konrad H. Thomas , Christian Flindt
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