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The Loewner Equation: Maps and Shapes

- I. Gruzberg, L. Kadanoff
- Mathematics
- 11 September 2003

An approach called Schramm–Loewner evolution (SLE) provides a new method for dealing with a wide variety of scale-invariant problems in two dimensions. This approach is based upon an older method… Expand

Exact exponents for the spin quantum Hall transition in the presence of multiple edge channels.

- R. Bondesan, I. Gruzberg, J. Jacobsen, H. Obuse, H. Saleur
- PhysicsPhysical review letters
- 3 February 1999

TLDR

Localization in disordered superconducting wires with broken spin-rotation symmetry

- I. Gruzberg, N. Read, S. Vishveshwara
- Physics
- 15 December 2004

Localization and delocalization of noninteracting quasiparticle states in a superconducting wire are reconsidered, for the cases in which spin-rotation symmetry is absent, and time-reversal symmetry… Expand

Classification and symmetry properties of scaling dimensions at Anderson transitions

- I. Gruzberg, A. Mirlin, M. Zirnbauer
- Mathematics
- 25 October 2012

We develop a classification of composite operators without gradients at Anderson-transition critical points in disordered systems. These operators represent correlation functions of the local density… Expand

Stochastic Loewner evolution for conformal field theories with lie group symmetries.

- E. Bettelheim, I. Gruzberg, A. Ludwig, P. Wiegmann
- PhysicsPhysical review letters
- 2 March 2005

TLDR

Entanglement entropy and multifractality at localization transitions

- X. Jia, A. Subramaniam, I. Gruzberg, S. Chakravarty
- Physics
- 9 October 2007

The von Neumann entanglement entropy is a useful measure to characterize a quantum phase transition. We investigate the nonanalyticity of this entropy at disorder-dominated quantum phase transitions… Expand

Stochastic geometry of critical curves, Schramm–Loewner evolutions and conformal field theory

- I. Gruzberg
- Physics
- 21 July 2006

Conformally invariant curves that appear at critical points in two-dimensional statistical mechanics systems and their fractal geometry have received a lot of attention in recent years. On the one… Expand

Multifractality and conformal invariance at 2D metal-insulator transition in the spin-orbit symmetry class.

- H. Obuse, A. Subramaniam, A. Furusaki, I. Gruzberg, A. Ludwig
- PhysicsPhysical review letters
- 7 September 2006

We study the multifractality (MF) of critical wave functions at boundaries and corners at the metal-insulator transition (MIT) for noninteracting electrons in the two-dimensional (2D) spin-orbit… Expand

On functional determinants of matrix differential operators with multiple zero modes

- G. Falco, A. A. Fedorenko, I. Gruzberg
- Mathematics
- 21 March 2017

We generalize the method of computing functional determinants with a single excluded zero eigenvalue developed by McKane and Tarlie to differential operators with multiple zero eigenvalues. We derive… Expand

Scaling and crossover functions for the conductance in the directed network model of edge states

- I. Gruzberg, N. Read, S. Sachdev
- Mathematics, Physics
- 3 December 1996

We consider the directed network (DN) of edge states on the surface of a cylinder of length L and circumference C .B y mapping it to a ferromagnetic superspin chain, and using a scaling analysis, we… Expand

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