Search Results - "Gruzberg, Ilya A."
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1
Scaling Collapse of Longitudinal Conductance near the Integer Quantum Hall Transition
Published in Physical review letters (08-07-2022)Get full text
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2
Finite-size effects and irrelevant corrections to scaling near the integer quantum Hall transition
Published in Physical review letters (16-11-2012)“…We present a numerical finite-size scaling study of the localization length in long cylinders near the integer quantum Hall transition employing the…”
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3
The extraordinary boundary transition in the 3d O(N) model via conformal bootstrap
Published in SciPost physics (01-06-2022)“…This paper studies the critical behavior of the 3d classical O (N) ( N ) model with a boundary. Recently, one of us established that upon treating N N as a…”
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4
Criticality of Two-Dimensional Disordered Dirac Fermions in the Unitary Class and Universality of the Integer Quantum Hall Transition
Published in Physical review letters (19-02-2021)“…Two-dimensional (2D) Dirac fermions are a central paradigm of modern condensed matter physics, describing low-energy excitations in graphene, in certain…”
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5
Relevant perturbations at the spin quantum Hall transition
Published in Physical review. B, Condensed matter and materials physics (26-01-2015)“…We study relevant perturbations at the spin quantum Hall critical point using a network model formulation. The model has been previously mapped to classical…”
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6
Wave function correlations and the AC conductivity of disordered wires beyond the Mott-Berezinskii law
Published in Europhysics letters (01-11-2017)“…In one-dimensional disordered wires electronic states are localized at any energy. Correlations of the states at close positive energies and the AC…”
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7
Localization in disordered superconducting wires with broken spin-rotation symmetry
Published in Physical review. B, Condensed matter and materials physics (01-06-2005)Get full text
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Exact Exponents for the Spin Quantum Hall Transition
Published in Physical review letters (31-05-1999)Get full text
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9
The Loewner equation: Maps and shapes
Published in Journal of statistical physics (01-03-2004)Get full text
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10
Numerical evidence for marginal scaling at the integer quantum Hall transition
Published in Annals of physics (01-12-2021)“…The integer quantum Hall transition (IQHT) is one of the most mysterious members of the family of Anderson transitions. Since the 1980s, the scaling behavior…”
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11
Entanglement entropy and multifractality at localization transitions
Published in Physical review. B, Condensed matter and materials physics (01-01-2008)Get full text
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12
Generalized multifractality at spin quantum Hall transition
Published in Annals of physics (01-12-2021)“…Generalized multifractality characterizes scaling of eigenstate observables at Anderson-localization critical points. We explore generalized multifractality in…”
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13
Boundary criticality and multifractality at the two-dimensional spin quantum Hall transition
Published in Physical review. B, Condensed matter and materials physics (01-12-2008)Get full text
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14
Conformal Invariance and Multifractality at Anderson Transitions in Arbitrary Dimensions
Published 02-01-2024“…Phys. Rev. Lett. 131, 266401 (2023) Multifractals arise in various systems across nature whose scaling behavior is characterized by a continuous spectrum of…”
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The superspin approach to a disordered quantum wire in the chiral-unitary symmetry class with an arbitrary number of channels
Published in Nuclear physics. B (01-12-2009)“…We use a superspin Hamiltonian defined on an infinite-dimensional Fock space with positive definite scalar product to study localization and delocalization of…”
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16
Scaling and crossover functions for the conductance in the directed network model of edge states
Published in Physical review. B, Condensed matter (15-04-1997)Get full text
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17
Surface quantum critical phenomena in disordered Dirac semimetals
Published 07-05-2024“…Phys. Rev. B 109, 174204 (2024) We study a non-Anderson disorder driven quantum phase transition in a semi-infinite Dirac semimetal with a flat boundary. The…”
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18
Conductance and its universal fluctuations in the directed network model at the crossover to the quasi-one-dimensional regime
Published in Physical review. B, Condensed matter (15-11-1997)Get full text
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19
Generalized multifractality in 2D disordered systems of chiral symmetry classes
Published 25-01-2023“…We study generalized multifractality that characterizes eigenstate fluctuations and correlations in disordered systems of chiral symmetry classes AIII, BDI,…”
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20
Metal-insulator transition in a 2D system of chiral unitary class
Published 06-10-2022“…PRB 107, L020201, Jan 2023 We perform a numerical investigation of Anderson metal-insulator transition (MIT) in a twodimensional system of chiral symmetry…”
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