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Related papers: Extended Landauer-B\"{u}ttiker Formula for Current…

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Landauer's principle provides a link between Shannon's information entropy and Clausius' thermodynamical entropy. We set up here a basic formula for the incremental free energy of a quantum channel, possibly relative to infinite systems,…

Quantum Physics · Physics 2018-05-09 Roberto Longo

We generalize the Landauer formula to describe the dissipative electron transport through a superconducting point contact. The finite-temperature, linear-in-bias, dissipative DC conductance is expressed in terms of the phase- and…

Superconductivity · Physics 2019-08-14 Sergey S. Pershoguba , Thomas Veness , Leonid I. Glazman

We show that the Landauer multi-terminal formula for the conductance of a nanoscale system is incomplete because it does not take into account many-body effects which cannot be treated as contributions to the single-particle transmission…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Giovanni Vignale , Massimiliano Di Ventra

Using non-equilibrium Green's functions (NEGF), we calculate the current through an interacting region connected to non-interacting leads. The problem is reformulated in such a way that a Landauer-like term appears in the current as well as…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 H. Ness , L. K. Dash , R. W. Godby

Quantum transport simulations are rapidly evolving and now encompass well-controlled tensor network techniques for many-body limits. One powerful approach combines matrix product states with extended reservoirs. In this method, continuous…

Mesoscale and Nanoscale Physics · Physics 2021-10-22 Gabriela Wojtowicz , Justin E. Elenewski , Marek M. Rams , Michael Zwolak

The Landauer-Butikker formalism is an important formalism to study mesoscopic systems. Its validity for linear transport is well established theoretically as well as experimentally. Akkermans et al [Phys. Rev. Lett. {\bf 66}, 76 (1991)] had…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Sheelan Sengupta Chowdhury , P. Singha Deo , A. M. Jayannavar , M. Manninen

We study the current of Bose particles between two reservoirs connected by a one-dimensional channel. We analyze the problem from first principles by considering a microscopic model of conductivity in the noninteracting limit. Equations for…

Quantum Gases · Physics 2018-11-06 Andrey R. Kolovsky , Zakari Denis , Sandro Wimberger

The physics of low subthreshold devices is interpreted in terms of a gate dependent change in their mode averaged transmission function, in addition to a capacitive shift in their overall mode spectrum. Accordingly, we explore a variety of…

Mesoscale and Nanoscale Physics · Physics 2015-10-06 Avik W. Ghosh

We study the entropy flux in the stationary state of a finite one-dimensional sample S connected at its left and right ends to two infinitely extended reservoirs at distinct temperatures T1, T2 and chemical potentials mu1, mu2. The sample…

Mathematical Physics · Physics 2013-08-28 Laurent Bruneau , Vojkan Jaksic , Claude-Alain Pillet

We discuss an extension of our earlier work on the time-dependent Landauer--B\"uttiker formalism for noninteracting electronic transport. The formalism can without complication be extended to superconducting central regions since the…

Mesoscale and Nanoscale Physics · Physics 2016-04-15 Riku Tuovinen , Robert van Leeuwen , Enrico Perfetto , Gianluca Stefanucci

A general Landauer-B\"uttiker-type current formula is derived, which can be applied to the ferromagnet (F)/Normal metal (N)/superconductor (S), F/N/N, N/N/S and N/N/N systems in the presence of various kinds of interactions in the central…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Z. Y. Zeng , F. Claro

We develop a Born-Oppenheimer type formalism for the description of quantum thermal transport along hybrid nanoscale objects. Our formalism is suitable for treating heat transfer in the off-resonant regime, where e.g., the relevant…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Lian-Ao Wu , Dvira Segal

The transport in a pure one-dimensional quantum wire is investigated for any range of interactions. First, the wire is connected to measuring leads. The transmission of an incident electron is found to be perfect, and the conductance is not…

Strongly Correlated Electrons · Physics 2009-10-30 Ines Safi

Recent electronic transport experiments using metallic contacts attached to proteins identified some 'stylized facts' which contradict conventional wisdom that increasing either the spatial distance between the electrodes or the temperature…

Disordered Systems and Neural Networks · Physics 2019-09-04 Eszter Papp , Dávid P. Jelenfi , Máté T. Veszeli , Gábor Vattay

We present a quaternion-inspired formalism specifically developed to evaluate the electric current that traverses a single molecule subjected to an externally applied voltage. The molecule of interest is covalently connected to two small…

Mesoscale and Nanoscale Physics · Physics 2014-08-06 Augusto C. L. Moreira , Celso P. de Melo

In this short paper we first give a very simple derivation of the Landauer formula for a 2-point conductance of QJ $G^{2P}$, based on the uncertainty principle. The aim of this is to introduce this central equation of quantum transport to a…

Materials Science · Physics 2007-05-23 P. Bokes

Strange metals are highly entangled gapless states of matter that exhibit anomalous transport, such as linear in temperature resistivity, over more than a decade of temperature. Why a single power law should be so robust is an open…

Strongly Correlated Electrons · Physics 2025-11-18 Yen-Wen Lu , Michael Mulligan

We study quantum transport properties of two-dimensional electron gases under high perpendicular magnetic fields. For this purpose, we reformulate the high-field expansion, usually done in the operatorial language of the guiding-center…

Mesoscale and Nanoscale Physics · Physics 2007-06-26 Thierry Champel , Serge Florens

We introduce an energy-resolved variant of quantum thermodynamics for open systems strongly coupled to their baths. The approach generalizes the Landauer-Buttiker inside-outside duality method [Phys. Rev. Lett. 120, 107701 (2018)] to…

Statistical Mechanics · Physics 2024-02-26 Jiayang Zhou , Anqi Li , Michael Galperin

We propose a Landauer-like theory for nonlinear transport in networks of one-dimensional interacting quantum wires (Luttinger liquids). A concrete example of current experimental focus is given by carbon nanotube Y junctions. Our theory has…

Strongly Correlated Electrons · Physics 2009-11-07 S. Chen , B. Trauzettel , R. Egger