Phase--coherence Effects in Antidot Lattices: A Semiclassical Approach to Bulk Conductivity
arXiv:cond-mat/9410045 · doi:10.1209/0295-5075/29/1/002
Abstract
We derive semiclassical expressions for the Kubo conductivity tensor. Within our approach the oscillatory parts of the diagonal and Hall conductivity are given as sums over contributions from classical periodic orbits in close relation to Gutzwiller's trace formula for the density of states. Taking into account the effects of weak disorder and temperature we reproduce recently observed anomalous phase coherence oscillations in the conductivity of large antidot arrays.
11 pages, 2 figures available under request, RevTex
References in corpus (1)
Cited by in corpus (22)
- Fractal Conductance Fluctuations in Generic Chaotic Cavities
- Semiclassical Theory of Chaotic Quantum Transport
- Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems
- Semiclassical theory of transport in a random magnetic field
- Semiclassical analysis of the quantum interference corrections to the conductance of mesoscopic systems
- Universal quantum signature of mixed dynamics in antidot lattices
- Quantum transport properties of two-dimensional electron gases under high magnetic fields
- Electronic properties of antidot lattices fabricated by atomic force lithography
- Chaos in Quantum Dots: Dynamical Modulation of Coulomb Blockade Peak Heights
- Theory of Shubnikov--De Haas Oscillations Around the Filling Factor of the Landau Level: Effect of Gauge Field Fluctuations
- Semiclassics for matrix Hamiltonians: The Gutzwiller trace formula and applications to the graphene-type systems
- Semiclassical Theory of Coulomb Blockade Peak Heights in Chaotic Quantum Dots
- Nonlinear Dynamics of Composite Fermions in Nanostructures
- Commensurability resonances in two-dimensional magneto-electric lateral superlattices
- Resonance Patterns of an Antidot Cluster: From Classical to Quantum Ballistics
- Commensurability Effects in Hexagonal Antidot Lattices with Large Antidot Diameters
- Dephasing time of composite fermions
- Periodic orbit effects on conductance peak heights in a chaotic quantum dot
- Classical orbit bifurcation and quantum interference in mesoscopic magnetoconductance
- A single-particle path integral for composite fermions and the renormalization of the effective mass
- Magnetoresistance of antidot lattices with grain boundaries
- Semiclassical description of shell effects in finite fermion systems