Statistics of thermal to shot noise crossover in chaotic cavities
arXiv:0902.3069 · doi:10.1088/1751-8113/42/47/475101
Abstract
Recently formulated integrable theory of quantum transport [Osipov and Kanzieper, Phys. Rev. Lett. 101, 176804 (2008); arXiv:0806.2784] is extended to describe sample-to-sample fluctuations of the noise power in chaotic cavities with broken time-reversal symmetry. Concentrating on the universal transport regime, we determine dependence of the noise power cumulants on the temperature, applied bias voltage, and the number of propagating modes in the leads. Intrinsic connection between statistics of thermal to shot noise crossover and statistics of Landauer conductance is revealed and briefly discussed.
arXiv commentsignificantly extended version (15 pages, 1 appendix); to appear in Journal of Physics A
References in corpus (24)
- Shot Noise in Mesoscopic Conductors
- Random-Matrix Theory of Quantum Transport
- Mesoscopic Transport Through Ballistic Cavities: A Random S-Matrix Theory Approach
- Fredholm Determinants, Differential Equations and Matrix Models
- Integrability and Matrix Models
- Universal oscillations in counting statistics
- Semiclassical Theory of Chaotic Quantum Transport
- GENERALIZED CIRCULAR ENSEMBLE OF SCATTERING MATRICES FOR A CHAOTIC CAVITY WITH NON-IDEAL LEADS
- Shot noise in chaotic systems: "classical" to quantum crossover
- Distributions of Conductance and Shot Noise and Associated Phase Transitions
- Shot Noise by Quantum Scattering in Chaotic Cavities
- Semiclassical Approach to Chaotic Quantum Transport
- Quantum conductance problems and the Jacobi ensemble
- Replica field theories, Painleve transcendents, and exact correlation functions
- Shot noise in chaotic cavities with an arbitrary number of open channels
- Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity
- Systematic approach to statistics of conductance and shot-noise in chaotic cavities
- Interference Phenomena in Electronic Transport Through Chaotic Cavities: An Information-Theoretic Approach
- Nonlinear statistics of quantum transport in chaotic cavities
- Semi-classical Theory of Conductance and Noise in Open Chaotic Cavities
- Statistics of quantum transport in chaotic cavities with broken time-reversal symmetry
- Integrable theory of quantum transport in chaotic cavities
- Are Bosonic Replicas Faulty?
- Crossover from Conserving to Lossy Transport in Circular Random Matrix Ensembles
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- Efficient semiclassical approach for time delays
- Transport moments beyond the leading order
- Combinatorial theory of the semiclassical evaluation of transport moments I: Equivalence with the random matrix approach
- Random matrix theory of quantum transport in chaotic cavities with non-ideal leads
- Universal covariance formula for linear statistics on random matrices
- Transport moments and Andreev billiards with tunnel barriers
- Combinatorial theory of the semiclassical evaluation of transport moments II: Algorithmic approach for moment generating functions
- Conductance Distributions in Chaotic Mesoscopic Cavities
- Correlations of RMT Characteristic Polynomials and Integrability: Hermitean Matrices
- Joint statistics of quantum transport in chaotic cavities
- Largest Schmidt eigenvalue of entangled random pure states and conductance distribution in chaotic cavities
- Nonlinear Random Matrix Statistics, symmetric functions and hyperdeterminants
- An exact formula for the variance of linear statistics in the one-dimensional jellium mode
- Statistics of quantum transport in weakly non-ideal chaotic cavities
- Crossover of thermal to shot noise in chaotic cavities
- Full counting statistics of 1d short-range Riesz gases in confinement
- Integrable Aspects of Universal Quantum Transport in Chaotic Cavities