Conformal invariance and multifractality at Anderson transitions in arbitrary dimensions

J Padayasi, I Gruzberg - Physical Review Letters, 2023 - APS
Multifractals arise in various systems across nature whose scaling behavior is characterized
by a continuous spectrum of multifractal exponents Δ q. In the context of Anderson …

Boundary multifractality in the spin quantum Hall symmetry class with interaction

SS Babkin, IS Burmistrov - Physical Review B, 2023 - APS
Generalized multifractality characterizes system size dependence of pure scaling local
observables at Anderson transitions in all 10 symmetry classes of disordered systems …

Surface quantum critical phenomena in disordered Dirac semimetals

E Brillaux, AA Fedorenko, IA Gruzberg - Physical Review B, 2024 - APS
We study a non-Anderson disorder driven quantum phase transition in a semi-infinite Dirac
semimetal with a flat boundary. The conformally invariant boundary conditions, which …

Instanton analysis for the spin quantum Hall symmetry class: Nonperturbative corrections to physical observables and generalized multifractal spectrum

MV Parfenov, IS Burmistrov - Physical Review B, 2024 - APS
Recently, there has been renewed interest in studies of criticality in the spin quantum Hall
effect, realized in the Altland-Zirnbauer symmetry class C of disordered, noninteracting …

Conformal Invariance in Statistical and Condensed Matter Physics

J Padayasi - 2024 - search.proquest.com
Phase transitions occur in many classical and quantum systems, and are the subject of
many an open problem in physics. In the past decade, the conformal bootstrap has provided …

Localization, Criticality and Ergodicity–From Single-Particle to Many-Body Quantum Systems with Disorder

J Dieplinger - 2024 - epub.uni-regensburg.de
This thesis covers a variety of topics connected to disordered quantum systems. The
quantum Hall effect serves as the archetype of a topological quantum material. The …

[PDF][PDF] Топологические возбуждения в нелинейной сигма-модели в классе С

МВ Парфенов - edu.itp.ac.ru
Аннотация В последнее время большой интерес вызывает изучение критического
поведения квантовых систем. Имеются некоторые теоретические доказательства …