212 citations · 1.8k across the 51 of their papers we have counts for
51 papers
Boundary critical behavior of the Gross-Neveu-Yukawa model
Andrei A. Fedorenko, Ilya A. Gruzberg
We study the critical behavior of the semi-infinite Gross-Neveu-Yukawa model, a quantum field theory describing Dirac fermions interacting with bosonic fields via a Yukawa coupling…
Spin quantum Hall transition on random networks: exact critical exponents via quantum gravity
Esteban Macías, Ilya Gruzberg, Eldad Bettelheim
We solve the problem of the spin quantum Hall transition on random networks using a mapping to classical percolation that focuses on the boundary of percolating clusters. Using too…
Localization-landscape generalized Mott-Berezinskiĭ formula
Gabriel Hayoun, Ilya A. Gruzberg, Marcel Filoche
We introduce a conceptual reformulation of the Mott-Berezinskiĭ (MB) theory of low-frequency AC conductivity in disordered systems based on localization landscape theory. Instead o…
The integer quantum Hall transition: an -matrix approach to random networks
Hrant Topchyan, Ilya Gruzberg, Win Nuding +2
In this paper we propose a new -matrix approach to numerical simulations of network models and apply it to random networks that we proposed in a previous work 10.1103/PhysRevB.9…
Surface quantum critical phenomena in disordered Dirac semimetals
Eric Brillaux, Andrei A. Fedorenko, Ilya A. Gruzberg
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 inclu…
Conformal Invariance and Multifractality at Anderson Transitions in Arbitrary Dimensions
Jaychandran Padayasi, Ilya A. Gruzberg
Multifractals arise in various systems across nature whose scaling behavior is characterized by a continuous spectrum of multifractal exponents . In the context of Anderson tr…