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New fluctuation properties arise in problems where both spatial integration and energy summation are necessary ingredients. The quintessential example is given by the short-range approximation to the first order ground state contribution of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Steven Tomsovic , Denis Ullmo , Arnd Baecker

We study transport through a quantum dot side-coupled to two parallel Luttinger liquid leads in the presence of a Coulombic dot-lead interaction. This geometry enables an exact treatment of the inter-lead Coulomb interactions. We find that…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Florian Elste , David Reichman , Andrew Millis

An interplay between charge discreteness, coherent scattering and Coulomb interaction yields nontrivial effects in quantum transport. We derive a real time effective action and an equivalent quantum Langevin equation for an arbitrary…

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

A time-dependent bias voltage on a tunnel junction generates a time-dependent modulation of its current fluctuations, and in particular of its variance. This translates into an excitation at frequency $\tilde{f}$ generating correlations…

Mesoscale and Nanoscale Physics · Physics 2024-03-27 Clovis Farley , Edouard Pinsolle , Bertrand Reulet

We consider a four-terminal setup of a two-dimensional topological insulator (quantum spin Hall insulator) with local tunneling between the upper and lower edges. The edge modes are modeled as helical Luttinger liquids and the…

Strongly Correlated Electrons · Physics 2011-08-30 Thomas L. Schmidt

As devices to control spin currents using the spin-orbit interaction are proposed and implemented, it is important to understand the fluctuations that spin-orbit coupling can impose on transmission through a quantum dot. Using random matrix…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Jacob J. Krich

We show that an instability may be present in resonant tunneling through a quantum well in one, two and three dimensions, when the resonance lies near the emitter Fermi level. A simple semiclassical model which simulates the resonance and…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 G. Obermair , J. Inkoferer , F. Claro

We analyze high-field current fluctuations in degenerate conductors by mapping the electronic Fermi-liquid correlations at equilibrium to their semiclassical non-equilibrium form. Our resulting Boltzmann description is applicable to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Frederick Green , Mukunda P Das

In the spectrum of systems showing chaos-assisted tunneling, three-state crossings are formed when a chaotic singlet intersects a tunnel doublet. We study the dissipative quantum dynamics in the vicinity of such crossings. A harmonically…

Quantum Physics · Physics 2009-10-31 Sigmund Kohler , Ralf Utermann , Peter Hanggi , Thomas Dittrich

We show that charge fluctuation processes are crucial for the nonlinear heat conductance through an interacting nanostructure, even far from a resonance. We illustrate this for an Anderson quantum dot accounting for the first two leading…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Niklas M. Gergs , Christoph B. M. Hörig , Maarten R. Wegewijs , Dirk Schuricht

Continuously measured quantum systems are characterized by an output current, in the form of a stochastic and correlated time series which conveys crucial information about the underlying quantum system. The many tools used to describe…

Quantum Physics · Physics 2025-12-19 Gabriel T. Landi , Michael J. Kewming , Mark T. Mitchison , Patrick P. Potts

We study fluctuations of conductance of two connected in series dots in the Coulomb blockade regime. The pattern of the fluctuations turns out to be extremely sensitive to a magnetic field. These conductance fluctuations also provide…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Kaminski , L. I. Glazman

When described in a grand canonical ensemble, a finite Coulomb system exhibits charge fluctuations. These fluctuations are studied in the case of a classical (i.e. non-quantum) system with no macroscopic average charge. Assuming the…

Statistical Mechanics · Physics 2007-05-23 B. Jancovici

Microscopic current fluctuations are inseparable from conductance. We give an integral account of both quantized conductance and nonequilibrium thermal noise in one-dimensional ballistic wires. Our high-current noise theory opens a very…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Frederick Green , Mukunda P Das

We analyze the dynamics of a nanomechanical oscillator coupled to an electrical tunnel junction with an arbitrary voltage applied to the junction and arbitrary temperature of electrons in leads. We obtain the explicit expressions for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Anatoly Yu. Smirnov , Lev G. Mourokh , Norman J. M. Horing

Scanning tunneling miscoscopy is one of the most powerful spectroscopic tools for single-electron excitations. We show that the conductance fluctuations, or noise in the conductance, of a tunneling current into an interacting electron…

Strongly Correlated Electrons · Physics 2009-02-03 Kelly R. Patton , Hartmut Hafermann , Sergej Brener , Alexander I. Lichtenstein , Mikhail I. Katsnelson

The intrinsic nonlinearity of Josephson junctions converts Gaussian current noise in the input into non-Gaussian voltage noise in the output. For a resistively shunted Josephson junction with white input noise we determine numerically…

Superconductivity · Physics 2015-05-18 D. S. Golubev , M. Marthaler , Y. Utsumi , Gerd Schon

From the laws of macroscopic electrostatics of conductors (in particular the existence of screening) taken for granted, one can deduce universal properties for the thermal fluctuations in a classical Coulomb system at equilibrium. The…

Condensed Matter · Physics 2016-08-31 B. Jancovici

We analyze an interplay between Coulomb blockade and quantum fluctuations in a coherent conductor (with dimensionless conductance $g \gtrsim 1$) attached to an Ohmic shunt. We demonstrate that at T=0 the system can be either an insulator or…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Dmitri S. Golubev , Andrei D. Zaikin

We study effects of Coulomb interactions between localised states in a potential barrier by measuring resonant-tunneling spectra with a small bias applied along the barrier. In the ohmic regime the conductance of 0.2um--gate lateral GaAs…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. V. Kuznetsov , A. K. Savchenko , D. R. Mace , E. H. Linfield , D. A. Ritchie