# Numerical evidence for marginal scaling at the integer quantum Hall transition

@article{Dresselhaus2021NumericalEF, title={Numerical evidence for marginal scaling at the integer quantum Hall transition}, author={Elizabeth J. Dresselhaus and Bjorn Sbierski and Ilya A. Gruzberg}, journal={Annals of Physics}, year={2021} }

## 9 Citations

### Random Magnetic Field and the Dirac Fermi Surface

- Physics
- 2022

We study a single 2d Dirac fermion at ﬁnite density, subject to a quenched random magnetic ﬁeld. At low energies and suﬃciently weak disorder, the theory maps onto an inﬁnite collection of 1d chiral…

### Anomalous fractal scaling in two-dimensional electric networks

- Education
- 2022

We observe a profound deviation from logarithmic scaling for the impedance of a two-dimensional LC circuit network. We ﬁnd this anomalous impedance contribution to sensitively depend on the number of…

### Turbulence Hierarchy and Multifractality in the Integer Quantum Hall Transition.

- Medicine, PhysicsPhysical review letters
- 2022

We offer a new perspective on the problem of characterizing mesoscopic fluctuations in the interplateau regions of the integer quantum Hall transition. We found that longitudinal and transverse…

### Scaling Collapse of Longitudinal Conductance near the Integer Quantum Hall Transition.

- PhysicsPhysical review letters
- 2022

Within the mature field of Anderson transitions, the critical properties of the integer quantum Hall transition still pose a significant challenge. Numerical studies of the transition suffer from…

### Localization of Dirac modes in finite-temperature Z2 gauge theory on the lattice

- PhysicsPhysical Review D
- 2021

The low-lying Dirac modes become localised at the finite-temperature transition in QCD and in other gauge theories, suggesting a general connection between their localisation and deconfinement. The…

### Localization of Dirac Fermions in Finite-Temperature Gauge Theory

- PhysicsUniverse
- 2021

It is by now well established that Dirac fermions coupled to non-Abelian gauge theories can undergo an Anderson-type localization transition. This transition affects eigenmodes in the lowest part of…

### How spectrum-wide quantum criticality protects surface states of topological superconductors from Anderson localization: Quantum Hall plateau transitions (almost) all the way down

- PhysicsAnnals of Physics
- 2021

### Criticality of Two-Dimensional Disordered Dirac Fermions in the Unitary Class and Universality of the Integer Quantum Hall Transition.

- PhysicsPhysical review letters
- 2021

The results of extensive numerics on the phase diagram and criticality of 2D DDF in the unitary class find a critical line at m=0, with an energy-dependent localization length exponent, which challenges conjectured relations between different models of the IQHT.

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A model is introduced for Anderson localisation in the integer quantum Hall regime. The model represents a system with a disordered potential that varies slowly on the scale of the magnetic length,…

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