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We develop a semiclassical theory for spin-dependent quantum transport in ballistic quantum dots. The theory is based on the semiclassical Landauer formula, that we generalize to include spin-orbit and Zeeman interaction. Within this…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Oleg Zaitsev , Diego Frustaglia , Klaus Richter

We study a chaotic quantum transport in the presence of a weak spin-orbit interaction. Our theory covers the whole symmetry crossover regime between time-reversal invariant systems with and without a spin-orbit interaction. This situation…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Keiji Saito , Taro Nagao

We formulate a semiclassical theory for systems with spin-orbit interactions. Using spin coherent states, we start from the path integral in an extended phase space, formulate the classical dynamics of the coupled orbital and spin degrees…

Chaotic Dynamics · Physics 2009-02-20 M. Pletyukhov , Ch. Amann , M. Mehta , M. Brack

We calculate the Landauer conductance through chaotic ballistic devices in the semiclassical limit, to all orders in the inverse number of scattering channels without and with a magnetic field. Families of pairs of entrance-to-exit…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Stefan Heusler , Sebastian Müller , Petr Braun , Fritz Haake

We illustrate how classical chaotic dynamics influences the quantum properties at mesoscopic scales. As a model case we study semiclassically coherent transport through ballistic mesoscopic systems within the Landauer formalism beyond the…

Mesoscale and Nanoscale Physics · Physics 2010-02-24 Daniel Waltner , Klaus Richter

We present a refined semiclassical approach to the Landauer conductance and Kubo conductivity of clean chaotic mesoscopic systems. We demonstrate for systems with uniformly hyperbolic dynamics that including off-diagonal contributions to…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Klaus Richter , Martin Sieber

We consider the semiclassical theory in a joint phase space of spin and orbital degrees of freedom. The method is developed from the path integrals using the spin-coherent-state representation, and yields the trace formula for the density…

Chaotic Dynamics · Physics 2009-11-10 Mikhail Pletyukhov , Oleg Zaitsev

We describe a semiclassical method to calculate universal transport properties of chaotic cavities. While the energy-averaged conductance turns out governed by pairs of entrance-to-exit trajectories, the conductance variance, shot noise and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sebastian Müller , Stefan Heusler , Petr Braun , Fritz Haake

Semiclassical methods are extremely valuable in the study of transport and thermodynamical properties of ballistic microstructures. By expressing the conductance in terms of classical trajectories, we demonstrate that quantum interference…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Rodolfo A. Jalabert

This article discusses spin transport in systems with spin-orbit interactions and how it can be understood in a semiclassical picture. I will first present a semiclassical wave-packet description of spin transport, which explains how the…

Mesoscale and Nanoscale Physics · Physics 2009-04-15 Dimitrie Culcer

We discuss the semiclassical approximation to transport problems in quantum chaotic systems. The figures of merit are moments of the transmission matrix and of the time delay matrix. After reviewing a few results obtained by treating these…

Quantum Physics · Physics 2026-04-16 Marcel Novaes

We develop a semiclassical theory for spin-dependent quantum transport to describe weak (anti)localization in quantum dots with spin-orbit coupling. This allows us to distinguish different types of spin relaxation in systems with chaotic,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Oleg Zaitsev , Diego Frustaglia , Klaus Richter

We consider the quantum kinetic-theory description for interacting massive spin-half fermions using the Wigner function formalism. We derive a general kinetic theory description assuming that the spin effects appear at the classical and…

High Energy Physics - Theory · Physics 2023-09-11 Arpan Das , Wojciech Florkowski , Avdhesh Kumar , Radoslaw Ryblewski , Rajeev Singh

We study the spin-charge coupled transport in a two-dimensional electron system using the method of quasiclassical ($\xi$-integrated) Green's functions. In particular we derive the Eilenberger equation in the presence of a generic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Roberto Raimondi , Cosimo Gorini , Peter Schwab , Michael Dzierzawa

We generalize a Landauer-type formula, using a real$\otimes$spin-space Green function technique, to treat spin-dependent transport in quantum-coherent conductors attached to two ferromagnetic contacts. The formalism is employed to study the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Branislav K. Nikolic , J. K. Freericks

We consider the problem of a semiclassical description of quantum chaotic transport, when a tunnel barrier is present in one of the leads. Using a semiclassical approach formulated in terms of a matrix model, we obtain transport moments as…

Chaotic Dynamics · Physics 2022-07-06 Pedro H. S. Bento , Marcel Novaes

We present a trajectory-based semiclassical calculation of the full counting statistics of quantum transport through chaotic cavities, in the regime of many open channels. Our method to obtain the $m$th moment of the density of transmission…

Mesoscale and Nanoscale Physics · Physics 2008-10-03 G. Berkolaiko , J. M. Harrison , M. Novaes

We address the quantum-classical correspondence for chaotic systems with a crossover between symmetry classes. We consider the energy level statistics of a classically chaotic system in a weak magnetic field. The generating function of…

Chaotic Dynamics · Physics 2015-05-13 Keiji Saito , Taro Nagao , Sebastian Muller , Petr Braun

A semiclassical quantization condition is derived for Landau levels in general spin-orbit coupled systems. This generalizes the Onsager quantization condition via a matrix-valued phase which describes spin dynamics along the classical…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 Tommy Li , Baruch Horovitz , Oleg P. Sushkov

We address the decay in open chaotic quantum systems and calculate semiclassical corrections to the classical exponential decay. We confirm random matrix predictions and, going beyond, calculate Ehrenfest time effects. To support our…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Daniel Waltner , Martha Gutierrez , Arseni Goussev , Klaus Richter
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