Bosonization for disordered and chaotic systems
arXiv:cond-mat/0307504 · doi:10.1103/PhysRevLett.92.026807
Abstract
Using a supersymmetry formalism, we reduce exactly the problem of electron motion in an external potential to a new supermatrix model valid at all distances. All approximate nonlinear sigma models obtained previously for disordered systems can be derived from our exact model using a coarse-graining procedure. As an example, we consider a model for a smooth disorder and demonstrate that using our approach does not lead to a 'mode-locking' problem. As a new application, we consider scattering on strong impurities for which the Born approximation cannot be used. Our method provides a new calculational scheme for disordered and chaotic systems.
4 pages, no figure, REVTeX4; title changed, revision for publication
References in corpus (13)
- Bosonization and Strongly Correlated Systems
- Divergence of the Classical trajectories and Weak Localization
- Quantum Chaos, Irreversible Classical Dynamics and Random Matrix Theory
- Universality of Random-Matrix Results for non-Gaussian Ensembles
- Non-relativistic Fermions, Coadjoint Orbits of \winf\ and String Field Theory at
- Spectral and Transport Properties of d-Wave Superconductors With Strong Impurities
- Geometrical Approach to Bosonization of D>1 Dimensional (Non) Fermi Liquids
- Bosonization of Nonrelativistic Fermions and W-infinity Algebra
- Bosonization of current-current interactions
- Effect of Long Range Disorder on Electron Motion in Two Dimensions
- Wave function correlations on the ballistic scale: Exploring quantum chaos by quantum disorder
- Antilocalization in a 2D Electron Gas in a Random Magnetic Field
- Non-linear -model for long range disorder and quantum chaos
Cited by in corpus (22)
- Superbosonization of invariant random matrix ensembles
- Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential
- Density of states in a two-dimensional chiral metal with vacancies
- Ehrenfest time in the weak dynamical localization
- Arbitrary rotation invariant random matrix ensembles and supersymmetry: orthogonal and unitary-symplectic case
- Superbosonization formula and its application to random matrix theory
- Supersymmetry approach to Wishart correlation matrices: Exact results
- Semiclassical theory of the Ehrenfest-time dependence of quantum transport
- The effect of Fermi surface curvature on low-energy properties of fermions with singular interactions
- Integration of Grassmann variables over invariant functions on flat superspaces
- T-duality in supersymmetric theory of disordered quantum systems
- Supersymmetry method for interacting chaotic and disordered systems: the SYK model
- Field Theory Approach to Quantum Interference in Chaotic Systems
- Deterministic Weak Localization in Periodic Structures
- Spin and orbital effects in a 2D electron gas in a random magnetic field
- On the Efetov-Wegner terms by diagonalizing a Hermitian supermatrix
- Superbosonisation via Riesz superdistributions
- Nonhermitian Supersymmetric Partition Functions: the case of one bosonic flavor
- Superbosonization in disorder and chaos: The role of anomalies
- Ballistic dynamics of a convex smooth-wall billiard with finite escape rate along the boundary
- Bosonic Partition Functions at Nonzero (Imaginary) Chemical Potential
- A nearly closed ballistic billiard with random boundary transmission