Universal distributions from non-Hermitian perturbation of zero modes
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Universal distributions from non-Hermitian perturbation of zero modes. / Kieburg, M.; Mielke, A.; Rud, M.; Splittorff, K.
In: Physical Review E, Vol. 101, No. 3, 032117, 13.03.2020.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Universal distributions from non-Hermitian perturbation of zero modes
AU - Kieburg, M.
AU - Mielke, A.
AU - Rud, M.
AU - Splittorff, K.
PY - 2020/3/13
Y1 - 2020/3/13
N2 - Hermitian operators with exact zero modes subject to non-Hermitian perturbations are considered. Specific focus is on the distribution of the former zero eigenvalues of the Hermitian operators. The broadening of these zero modes is found to follow an elliptic Gaussian random matrix ensemble of fixed size, where the symmetry class of the perturbation determines the behavior of the modes. This distribution follows from a central limit theorem of matrices and is shown to be robust to deformations.
AB - Hermitian operators with exact zero modes subject to non-Hermitian perturbations are considered. Specific focus is on the distribution of the former zero eigenvalues of the Hermitian operators. The broadening of these zero modes is found to follow an elliptic Gaussian random matrix ensemble of fixed size, where the symmetry class of the perturbation determines the behavior of the modes. This distribution follows from a central limit theorem of matrices and is shown to be robust to deformations.
KW - QCD DIRAC OPERATOR
KW - RANDOM MATRICES
KW - MAJORANA FERMIONS
KW - DENSITY
KW - SPECTRUM
U2 - 10.1103/PhysRevE.101.032117
DO - 10.1103/PhysRevE.101.032117
M3 - Journal article
C2 - 32289952
VL - 101
JO - Physical Review E
JF - Physical Review E
SN - 2470-0045
IS - 3
M1 - 032117
ER -
ID: 247445873