Semiclassical Prediction for Shot Noise in Chaotic Cavities
arXiv:cond-mat/0511292 · doi:10.1088/0305-4470/39/11/L01
Abstract
We show that in clean chaotic cavities the power of shot noise takes a universal form. Our predictions go beyond previous results from random-matrix theory, in covering the experimentally relevant case of few channels. Following a semiclassical approach we evaluate the contributions of quadruplets of classical trajectories to shot noise. Our approach can be extended to a variety of transport phenomena as illustrated for the crossover between symmetry classes in the presence of a weak magnetic field.
arXiv comment4 pages, 2 figures
References in corpus (10)
- Random-Matrix Theory of Quantum Transport
- Quantum Transport in Semiconductor Nanostructures
- Semiclassical Foundation of Universality in Quantum Chaos
- Semiclassical Theory of Chaotic Quantum Transport
- Periodic-Orbit Theory of Universality in Quantum Chaos
- Leading off-diagonal approximation for the spectral form factor for uniformly hyperbolic systems
- Semiclassical Theory of Chaotic Conductors
- Charge Fluctuations in Quantum Point Contacts and Chaotic Cavities in the Presence of Transport
- Shot noise in chaotic cavities with an arbitrary number of open channels
- Shot noise from action correlations
Cited by in corpus (55)
- Periodic-Orbit Theory of Level Correlations
- Many-Body Quantum Interference and the Saturation of Out-of-Time-Order Correlators
- Periodic-orbit theory of universal level correlations in quantum chaos
- Semiclassical Approach to Chaotic Quantum Transport
- Probability distributions of Linear Statistics in Chaotic Cavities and associated phase transitions
- Systematic approach to statistics of conductance and shot-noise in chaotic cavities
- Nonlinear statistics of quantum transport in chaotic cavities
- Tau-Function Theory of Quantum Chaotic Transport with beta=1,2,4
- Suppression of weak-localization (and enhancement of noise) by tunnelling in semiclassical chaotic transport
- Moments of the transmission eigenvalues, proper delay times and random matrix theory II
- Integrable theory of quantum transport in chaotic cavities
- Semiclassical roots of universality in many-body quantum chaos
- Full counting statistics of chaotic cavities from classical action correlations
- Moments of the Wigner delay times
- Efficient semiclassical approach for time delays
- Full counting statistics of chaotic cavities with many open channels
- The semiclassical relation between open trajectories and periodic orbits for the Wigner time delay
- Transport moments beyond the leading order
- Statistics of reflection eigenvalues in chaotic cavities with non-ideal leads
- Combinatorial theory of the semiclassical evaluation of transport moments I: Equivalence with the random matrix approach
- Dephasing in quantum chaotic transport: a semiclassical approach
- A semiclassical matrix model for quantum chaotic transport
- The density of states of chaotic Andreev billiards
- Distribution of the ratio of two consecutive level spacings in orthogonal to unitary crossover ensembles
- Semiclassical theory of the Ehrenfest-time dependence of quantum transport
- Conductance fluctuations in chaotic systems with tunnel barriers
- Semiclassical expansion of parametric correlation functions of the quantum time delay
- Semiclassical transport in nearly symmetric quantum dots I: symmetry-breaking in the dot
- Semiclassics for chaotic systems with tunnel barriers
- Transport moments and Andreev billiards with tunnel barriers
- Ehrenfest time dependence of quantum transport corrections and spectral statistics
- Controlling the Sign of Magnetoconductance in Andreev Quantum Dots
- Combinatorial theory of the semiclassical evaluation of transport moments II: Algorithmic approach for moment generating functions
- Semiclassical approach to universality in quantum chaotic transport
- Conductance Distributions in Chaotic Mesoscopic Cavities
- Semiclassical universality of parametric spectral correlations
- Jacobi Crossover Ensembles of Random Matrices and Statistics of Transmission Eigenvalues
- Breakdown of Anderson localization in the transport of Bose-Einstein condensates through one-dimensional disordered potentials
- Semiclassical theory of ballistic transport through chaotic cavities with spin-orbit interaction
- Semiclassical wavefunctions for open quantum billiards
- The effect of symmetry class transitions on the shot noise in chaotic quantum dots
- Semiclassical treatment of quantum chaotic transport with a tunnel barrier
- Transport through open quantum dots: making semiclassics quantitative
- Shot noise fluctuations in disordered graphene nanoribbons near the Dirac point
- Nonlinear Random Matrix Statistics, symmetric functions and hyperdeterminants
- Scattering and transport statistics at criticality
- Combinatorial problems in the semiclassical approach to quantum chaotic transport
- Interaction correction to the conductance of a ballistic conductor
- Integrable Aspects of Universal Quantum Transport in Chaotic Cavities
- Chaotic Transport in the Symmetry Crossover Regime with a Spin-orbit Interaction
- Weak localization correction to the density of transmission eigenvalues in the presence of magnetic field and spin-orbit coupling for a chaotic quantum dot
- Exponentially small quantum correction to conductance
- Quantum transport in chaotic cavities with tunnel barriers
- Electronic transport in three-terminal chaotic systems with a tunnel barrier
- Thermoelectric coefficients and the figure of merit for large open quantum dots