30 citations · 44 across the 3 of their papers we have counts for
3 papers
cond-mat.dis-nn2004★ 13 cited
Long range disorder and Anderson transition in systems with chiral symmetry
Antonio M. Garcia-Garcia, Kazutaka Takahashi
We study the spectral properties of a chiral random banded matrix (chRBM) with elements decaying as a power-law . This model is equivalent to a chir…
cond-mat.dis-nn2004★ 1 cited
Nonlinear sigma model approach for level correlations in chiral disordered systems
Kazutaka Takahashi
We study level correlations of disordered systems with chiral unitary symmetry (AIII symmetry). We use a random matrix model with a finite correlation length to derive a supersymme…
cond-mat.mes-hall2003★ 30 cited
Bosonization for disordered and chaotic systems
K. B. Efetov, G. Schwiete, K. Takahashi
Using a supersymmetry formalism, we reduce exactly the problem of electron motion in an external potential to a new supermatrix model valid at all distances. All approximate nonlin…