Instanton calculus of Lifshitz tails

@article{Yaida2016InstantonCO,
  title={Instanton calculus of Lifshitz tails},
  author={Sho Yaida},
  journal={Physical Review B},
  year={2016},
  volume={93},
  pages={075120}
}
  • Sho Yaida
  • Published 30 April 2012
  • Mathematics
  • Physical Review B
For noninteracting particles moving in a Gaussian random potential, there exists a disagreement in the literature on the asymptotic expression for the density of states in the tail of the band. We resolve this discrepancy. Further we illuminate the physical facet of instantons appearing in replica and supersymmetric derivations with another derivation employing a Lagrange multiplier field. 
Generalization of Anderson's theorem for disordered superconductors
We show that at the level of BCS mean-field theory, the superconducting $T_c$ is always increased in the presence of disorder, regardless of order parameter symmetry, disorder strength, and spatial
Rare region induced avoided quantum criticality in disordered three-dimensional Dirac and Weyl semimetals
We numerically study the effect of short ranged potential disorder on massless noninteracting three-dimensional Dirac and Weyl fermions, with a focus on the question of the proposed quantum critical
Nodal points of Weyl semimetals survive the presence of moderate disorder
In this work we address the physics of individual three dimensional Weyl nodes subject to a moderate concentration of disorder. Previous analysis indicates the presence of a quantum phase transition
Vanishing Density of States in Weakly Disordered Weyl Semimetals.
TLDR
It is shown that in spite of their existence these states are so fragile that their contribution effectively vanishes when averaged over continuous disorder distributions, which means that the integrity of the nodal points remains protected for weak disorder.
Nontrivial Critical Fixed Point for Replica-Symmetry-Breaking Transitions.
TLDR
This study provides evidence for the existence of replica-symmetry-breaking phase transitions in finite-dimensional disordered systems using a two-loop calculation and corroborates the result by resumming the perturbative series with inputs from a three- loop calculation and an analysis of its large-order behavior.
Nonequilibrium steady state of a weakly-driven Kardar-Parisi-Zhang equation
We consider an infinite interface in $d>2$ dimensions, governed by the Kardar-Parisi-Zhang (KPZ) equation with a weak Gaussian noise which is delta-correlated in time and has short-range spatial
Cryogenic electronics and quantum dots on silicon-on-insulator for quantum computing
This thesis studies cryogenic electronics and quantum dots on silicon-on-insulator (SOI) for quantum computing. Different types of electron and hole quantum dots are fabricated with Leti's SOI
Lifshitz tails at spectral edge and holography with a finite cutoff
Abstract We propose the holographic description of the Lifshitz tail typical for one-particle spectral density of bounded disordered system in D = 1 space. To this aim the “polymer representation”

References

SHOWING 1-10 OF 59 REFERENCES
Aspects of κ symmetry
We review various aspects of a fermionic gauge symmetry, known as the κ–symmetry, which plays an important role in formulations of superstrings, supermembranes and higher dimensional extended
Quantum Phase Transitions
We give a general introduction to quantum phase transitions in strongly-correlated electron systems. These transitions which occur at zero temperature when a non-thermal parameter $g$ like pressure,
Quantum many-particle systems
Abstract A review of Quantum Many-Particle Systems. By John W. Negele and Henri Orland. (Addison Wesley, 1988.) [Pp. xviii +459] £38·65 hbk. ISBN 0 201 12593 5. Scope: Textbook. Level: Postgraduate.
Solid-State Physics
These are a set of notes I have made, based on lectures given by M.Moore at the University of Manchester Jan-June ’08. Please e-mail me with any comments/corrections: jap@watering.co.uk.
Analysis
TLDR
The parser, especially its mapping rule interpreter, used in KBMT-89 is described, characterized by its ability to produce semantic and syntactic structures of a parse simultaneously and therefore more efficiently than other kinds of analyzers.
Ann
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixed
C: Solid State Phys
  • 11, L321
  • 1978
Phys
  • Rev. 148, 741
  • 1966
Phys. Rev
  • Phys. Rev
  • 1966
Phys
  • Rev. 139, A104
  • 1965
...
1
2
3
4
5
...