Obuse, H., Subramaniam, A. R., Furusaki, A., Gruzberg, I. A., Ludwig, A. W. W.
We study multifractal spectra of critical wave functions at the integer quantum Hall plateau transition using the Chalker-Coddington network model. Our numerical results provide important new...
Statistics of harmonic measure and winding of critical curves from conformal field theory (2008)
Belikov, A., Gruzberg, I. A., Rushkin, I.
Fractal geometry of random curves appearing in the scaling limit of critical two-dimensional statistical systems is characterized by their harmonic measure and winding angle. The former is the...
Global properties of Stochastic Loewner evolution driven by Levy processes (2007)
Oikonomou, P., Rushkin, I., Gruzberg, I. A., Kadanoff, L. P.
Standard Schramm-Loewner evolution (SLE) is driven by a continuous Brownian motion which then produces a trace, a continuous fractal curve connecting the singular points of the motion. If jumps are...
Entanglement entropy and multifractality at localization transitions (2007)
Jia, X., Subramaniam, A. R., Gruzberg, I. A., Chakravarty, S.
The von Neumann entanglement entropy is a useful measure to characterize a quantum phase transition. We investigate the non-analyticity of this entropy at disorder-dominated quantum phase transitions...
Boundary multifractality in critical one-dimensional systems with long-range hopping. (2007)
Mildenberger, A., Subramaniam, A.R., Narayanan, R., Evers, F., Gruzberg, I.A., Mirlin, A.D.
Physical Review B, 75(2007) S.094204/1-7
Boundary multifractality in critical 1D systems with long-range hopping (2006)
Mildenberger, A., Subramaniam, A. R., Narayanan, R., Evers, F., Gruzberg, I. A., Mirlin, A. D.
Boundary multifractality of electronic wave functions is studied analytically and numerically for the power-law random banded matrix (PRBM) model, describing a critical one-dimensional system with...
Critical curves in conformally invariant statistical systems (2006)
Rushkin, I., Bettelheim, E., Gruzberg, I. A., Wiegmann, P.
We consider critical curves -- conformally invariant curves that appear at critical points of two-dimensional statistical mechanical systems. We show how to describe these curves in terms of the...
Obuse, H., Subramaniam, A. R., Furusaki, A., Gruzberg, I. A., Ludwig, A. W. W.
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...
Surface Criticality and Multifractality at Localization Transitions. (2006)
Subramaniam, A.R., Gruzberg, I.A., Ludwig, A.W.W., Evers, F., Mildenberger, A., Mirlin, A.D.
Physical Review Letters, 96(2006) S.126802
Surface criticality and multifractality at localization transitions (2005)
Subramaniam, A. R., Gruzberg, I. A., Ludwig, A. W. W., Evers, F., Mildenberger, A., Mirlin, A. D.
We develop the concept of surface multifractality for localization-delocalization (LD) transitions in disordered electronic systems. We point out that the critical behavior of various observables...
Stochastic Loewner evolution driven by Levy processes (2005)
Rushkin, I., Oikonomou, P., Kadanoff, L. P., Gruzberg, I. A.
Standard stochastic Loewner evolution (SLE) is driven by a continuous Brownian motion, which then produces a continuous fractal trace. If jumps are added to the driving function, the trace branches....
On harmonic measure of critical curves (2005)
Bettelheim, E., Rushkin, I., Gruzberg, I. A., Wiegmann, P.
Fractal geometry of critical curves appearing in 2D critical systems is characterized by their harmonic measure. For systems described by conformal field theories with central charge $c\leqslant 1$,...
Stochastic Loewner evolution for conformal field theories with Lie-group symmetries (2005)
Bettelheim, E., Gruzberg, I. A., Ludwig, A. W. W., Wiegmann, P.
The Stochastic Loewner evolution is a recent tool in the study of two-dimensional critical systems. We extend this approach to the case of critical systems with continuous symmetries, such as SU(2)...
Tail states in superconductors with weak magnetic impurities (2002)
Vekhter, I., Shytov, A. V., Gruzberg, I. A., Balatsky, A. V.
We analyse the behavior of the density of states in a singlet s-wave superconductor with weak magnetic impurities in the clean limit by using the method of optimal fluctuation. We show that the...
Tail states in clean superconductors with magnetic impurities (2002)
Shytov, A. V., Vekhter, I., Gruzberg, I. A., Balatsky, A. V.
We analyse the behavior of the density of states in a singlet s-wave superconductor with weak magnetic impurities in the clean limit. By using the method of optimal fluctuation and treating the order...
Localization and delocalization in dirty superconducting wires (2000)
Brouwer, P. W., Furusaki, A., Gruzberg, I. A., Mudry, C.
We present Fokker-Planck equations that describe transport of heat and spin in dirty unconventional superconducting quantum wires. Four symmetry classes are distinguished, depending on the presence...