Publisher’s Note

Dresselhaus, Elizabeth; Sbierski, Björn; Gruzberg, Ilya A.

doi:10.1016/j.aop.2021.168560

Cited by 5 publications

(1 citation statement)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The nature of such transitions, known as "Anderson transitions", depends on the dimensionality and the symmetry class of the system [51]. While in three spatial dimensions the known Anderson transitions are all second order (including in finite-temperature QCD [54]), in two spatial dimensions one finds BKT-type transitions for systems in the orthogonal [55] and unitary classes [9,56] (except at the integer quantum Hall transition [57,58]). There are indications that an Anderson transition of BKT type is present also in the spectrum of the staggered operator in lattice Z 2 pure gauge theory in 2+1 dimensions [12], which belongs to the orthogonal class.…”

Section: Anderson Transitionsmentioning

confidence: 99%

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

Baranka

Giordano

2021

Phys. Rev. D

View full text Add to dashboard Cite

We study the localization properties of the eigenmodes of the staggered Dirac operator across the deconfinement transition in finite-temperature Z3 pure gauge theory on the lattice in 2+1 dimensions. This allows for nontrivial tests of the sea-islands picture of localization, according to which low modes should localize on favorable Polyakov-loop fluctuations in the deconfined phase of a gauge theory. We observe localized low modes in the deconfined phase of the theory, both in the real Polyakov-loop sector, where they are expected, and in the complex Polyakov-loop sectors, where they are not. Our findings expose the limitations of the standard sea-islands picture, and call for its refinement. An improved picture, where spatial hopping terms play a more prominent role, is proposed and found to be in excellent agreement with numerical results.

show abstract

Section: Anderson Transitionsmentioning

confidence: 99%

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

Baranka

Giordano

2021

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

Integer quantum Hall transition: An S -matrix approach to random networks

Topchyan,

Gruzberg,

Nuding

et al. 2024

Phys. Rev. B

View full text Add to dashboard Cite

In this paper we propose an S-matrix approach to numerical simulations of network models and apply it to random networks that we proposed in a previous work [I. A. Gruzberg, A. Klümper, W. Nuding, and A. Sedrakyan, ]. Random networks are modifications of the Chalker-Coddington (CC) model for the integer quantum Hall transition that more faithfully captures the physics of electrons moving in a strong magnetic field and a smooth disorder potential. This method has considerable advantages compared to the transfer matrix approach and gives the value ν≈2.4 for the critical exponent of the localization length in a random network. This finding confirms our previous result and is surprisingly close to the experimental value νexpt≈2.38 observed at the integer quantum Hall transition but substantially different from the CC value νCC≈2.6. Published by the American Physical Society 2024

show abstract

Deconfinement transition and localization of Dirac modes in finite-temperature Z3 gauge theory on the lattice

Baranka

Giordano

2022

Phys. Rev. D

View full text Add to dashboard Cite

Publisher’s Note

Cited by 5 publications

References 31 publications

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

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

Integer quantum Hall transition: An S -matrix approach to random networks

Deconfinement transition and localization of Dirac modes in finite-temperature Z3 gauge theory on the lattice

Contact Info

Product

Resources

About