148 citations · 457 across the 19 of their papers we have counts for
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cond-mat.dis-nn2008★ 80 cited
Cavity approach to the spectral density of non-Hermitian sparse matrices
Tim Rogers, Isaac Perez Castillo
The spectral densities of ensembles of non-Hermitian sparse random matrices are analysed using the cavity method. We present a set of equations from which the spectral density of a…
cond-mat.str-el2008★ 47 cited
The two-spinon transverse structure factor of the gapped Heisenberg antiferromagnetic chain
J. -S. Caux, J. Mossel, I. Pérez Castillo
We consider the transverse dynamical structure factor of the anisotropic Heisenberg spin-1/2 chain (XXZ model) in the gapped antiferromagnetic regime (). Specializing to the…
cond-mat.dis-nn2008★ 148 cited
Cavity Approach to the Spectral Density of Sparse Symmetric Random Matrices
Tim Rogers, Koujin Takeda, Isaac Pérez Castillo +1
The spectral density of various ensembles of sparse symmetric random matrices is analyzed using the cavity method. We consider two cases: matrices whose associated graphs are local…