A new algorithm of analyzing the metal-insulator transition of the Anderson model Original Research Article

We study a recently proposed non-Hermitian generalization of the one-electron Anderson model. We propose a new algorithm of calculating the psuedospectrum of the non-Hermitian Hamiltonian by the Lanczos method. The pseudospectrum approximates the spectrum of the non-Hermitian matrix in the complex plane, from which we can easily obtain the localization length of the Hermitian Anderson model.