Preserving topology while breaking chirality: from chiral orthogonal to anti-symmetric Hermitian ensemble
Preserving topology while breaking chirality: from chiral orthogonal to anti-symmetric Hermitian ensemble
We consider a parameter dependent ensemble of two real random matrices with Gaussian distribution. It describes the transition between the symmetry class of the chiral Gaussian orthogonal ensemble (Cartan class B$|$DI) and the ensemble of antisymmetric Hermitian random matrices (Cartan class B$|$D). It enjoys the special feature that, depending on …