Distribution of Transmission Eigenvalues in Disordered Wires
نویسندگان
چکیده
منابع مشابه
Probability distribution of Majorana end-state energies in disordered wires.
One-dimensional topological superconductors harbor Majorana bound states at their ends. For superconducting wires of finite length L, these Majorana states combine into fermionic excitations with an energy ε(0) that is exponentially small in L. Weak disorder leaves the energy splitting exponentially small, but affects its typical value and causes large sample-to-sample fluctuations. We show tha...
متن کاملConductance distribution of disordered quasi one-dimensional wires
We determine analytically the distribution of conductances of quasi onedimensional disordered electron systems, neglecting electron-electron interaction, for all strengths of disorder. We find that in the crossover region between the metallic and insulating regimes, P (g) is highly asymmetric, given by “one-sided” log-normal distribution. For larger disorder, the tail of the log-normal distribu...
متن کاملExact solution for the distribution of transmission eigenvalues in a disordered wire and comparison with random-matrix theory.
We consider the complete probability distribution P ({Tn}) of the transmission eigenvalues T1, T2, . . . TN of a disordered quasi-one-dimensional conductor (length L much greater than width W and mean free path l). The Fokker-Planck equation which describes the evolution of P with increasing L is mapped onto a Schrödinger equation by a Sutherland-type transformation. In the absence of time-reve...
متن کاملUniversality of weak localization in disordered wires.
We compute the quantum correction δA due to weak localization for transport properties A = ∑ n a(Tn) of disordered quasi-one-dimensional conductors, by integrating the Dorokhov-Mello-Pereyra-Kumar equation for the distribution of the transmission eigenvalues Tn. The result δA = (1 − 2/β)[ 1 4 a(1) + ∫∞ 0 dx (4x + π2)−1a(cosh x)] is independent of sample length or mean free path, and has a unive...
متن کاملDistribution of complex transmission eigenvalues for spherically stratified media
In this paper, we employ transformation operators and Levinson’s density formula to study the distribution of interior transmission eigenvalues for a spherically stratified media. In particular, we show that under smoothness condition on the index of refraction that there exist an infinite number of complex eigenvalues and there exist situations when there are no real eigenvalues. We also consi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1995
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.74.2776