# 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} }

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.

## 9 Citations

Generalization of Anderson's theorem for disordered superconductors

- PhysicsPhysical Review B
- 2018

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

- Physics
- 2016

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

- PhysicsPhysical Review B
- 2018

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.

- PhysicsPhysical review letters
- 2018

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.

- PhysicsPhysical review letters
- 2017

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.

Rare regions and avoided quantum criticality in disordered Weyl semimetals and superconductors

- PhysicsAnnals of Physics
- 2021

Nonequilibrium steady state of a weakly-driven Kardar-Parisi-Zhang equation

- Mathematics
- 2018

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

- Physics
- 2018

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

- PhysicsJournal of High Energy Physics
- 2020

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”…

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