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A new formalism to describe steady-state electronic and thermal transport in the framework of density functional theory is presented. A one-to-one correspondence is proven between the three basic variables of the theory, i.e., the density…

Mesoscale and Nanoscale Physics · Physics 2022-04-26 Nahual Sobrino , Florian Eich , Gianluca Stefanucci , Roberto D'Agosta , Stefan Kurth

The atomic variations of electronic wavefunctions at the surface and electron scattering near a defect have been detected unprecedentedly by tracing thermoelectric voltages given a temperature bias [Cho et al., Nature Mater. 12, 913…

Mesoscale and Nanoscale Physics · Physics 2014-04-02 Eui-Sup Lee , Sanghee Cho , Ho-Ki Lyeo , Yong-Hyun Kim

Two-dimensional van der Waals heterostructures can be engineered into artificial superlattices that host flat bands with significant Berry curvature and provide a favorable environment for the emergence of novel electron dynamics. In…

Mesoscale and Nanoscale Physics · Physics 2023-07-06 Vo Tien Phong , E. J. Mele

We describe electrical transport in ideal single-layer graphene at zero applied bias. There is a crossover from collisionless transport at frequencies larger than k_B T/hbar (T is the temperature) to collision-dominated transport at lower…

Mesoscale and Nanoscale Physics · Physics 2008-08-14 Lars Fritz , Joerg Schmalian , Markus Mueller , Subir Sachdev

We propose a mechanism for nanoscale energy conversion, an electric voltage induced by a temperature gradient in a junction composed of the same material having exactly the same geometric sizes, but distinct shapes. The proposed effect…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 Altug Sisman , Alhun Aydin , Jonas Fransson

Hydrodynamic transport coefficients may be evaluated from first principles in a weakly coupled scalar field theory at arbitrary temperature. In a theory with cubic and quartic interactions, the infinite class of diagrams which contribute to…

High Energy Physics - Phenomenology · Physics 2009-10-28 Sangyong Jeon

We show that by integrating out the electric field and incorporating proper boundary conditions, a semiclassical Boltzmann equation can describe electron transport properties, continuously from the diffusive to ballistic regimes. General…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 H. Geng , W. Y. Deng , Y. J. Ren , L. Sheng , D. Y. Xing

Using first-principles pseudopotential method and Boltzmann transport theory, we give a comprehensive understanding of the electronic and phonon transport properties of thermoelectric material BiCuSeO. By choosing proper hybrid functional…

Materials Science · Physics 2017-06-28 D. D. Fan , H. J. Liu , L. Cheng , J. Zhang , P. H. Jiang , J. Wei , J. H. Liang , J. Shi

Nonrelativistic quantum mechanics is commonly formulated in terms of wavefunctions (probability amplitudes) obeying the static and the time-dependent Schroedinger equations (SE). Despite the success of this representation of the quantum…

Quantum Physics · Physics 2017-08-15 Ivano Tavernelli

An analogue of the quadratic Wasserstein (or Monge-Kantorovich) distance between Borel probability measures on $\mathbf{R}^d$ has been defined in [F. Golse, C. Mouhot, T. Paul: Commun. Math. Phys. 343 (2015), 165-205] for density operators…

Mathematical Physics · Physics 2021-02-10 Emanuele Caglioti , François Golse , Thierry Paul

We study geometric energy transport in a slowly driven single-level quantum dot weakly coupled to electronic contacts and with strong onsite interaction, which can be either repulsive or attractive. Exploiting a recently discovered…

Mesoscale and Nanoscale Physics · Physics 2022-07-07 Juliette Monsel , Jens Schulenborg , Thibault Baquet , Janine Splettstoesser

Recently, we have shown theoretically [1] as well as experimentally [2] how the phase of an electromagnetic field can be determined by measuring the population of either of the two states of a two-level atomic system excited by this field,…

Quantum Physics · Physics 2007-05-23 M. S. Shahriar , P. Pradhan , V. Gopal , G. Pati , G. C. Cardoso

We present a quantum theory of distances along a curve, based on a linear line element that is equal to the operator square root of the quadratic metric of Riemannian geometry. Since the linear line element is an operator, we treat it…

General Relativity and Quantum Cosmology · Physics 2014-05-06 Ronald J. Adler

We study the electrical resistivity in the quantum Griffiths phase associated with the antiferromagnetic quantum phase transition in a metal. The resistivity is calculated by means of the semi-classical Boltzmann equation. We show that the…

Strongly Correlated Electrons · Physics 2015-05-27 David Nozadze , Thomas Vojta

The so-called quantum metric tensor is a band-structure invariant whose measure corresponds to the quantum distance between nearby states in the Hilbert space, characterizing the geometry of the underlying quantum states. In the context of…

Quantum Gases · Physics 2020-05-25 M. Iskin

The complete quantum metric of a parametrized quantum system has a real part (usually known as the Provost-Vallee metric) and a symplectic imaginary part (known as the Berry curvature). In this paper, we first investigate the relation…

Quantum Physics · Physics 2023-10-02 Balázs Hetényi , Péter Lévay

We study the Riemannian metric and the Euler characteristic number of the Bloch band in a 1D spin model with multi-site spins exchange interactions. The Euler number of the Bloch band originates from the Gauss-Bonnet theorem on the…

Strongly Correlated Electrons · Physics 2014-10-24 Yu-Quan Ma

We show that coherent electron transport through zero-dimensional systems can be used to tailor the shape of the system's transmission function. This quantum-engineering approach can be used to enhance the performance of quantum dots or…

Mesoscale and Nanoscale Physics · Physics 2011-10-10 Olov Karlstrom , Heiner Linke , Gunnar Karlstrom , Andreas Wacker

A quantum dot is a sub-micron-scale conducting device containing up to several thousand electrons. Transport through a quantum dot at low temperatures is a quantum-coherent process. This review focuses on dots in which the electron's…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Y. Alhassid

We present a systematic microscopic derivation of the semiclassical Boltzmann equation for band structures with the finite Berry curvature based on Keldysh technique of nonequilibrium systems. In the analysis, an ac electrical driving field…

Mesoscale and Nanoscale Physics · Physics 2021-12-13 Elio J. König , Alex Levchenko
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