منابع مشابه
Interplay of disorder and interaction in Majorana quantum wires.
We study the interplay between disorder and interaction in one-dimensional topological superconductors which carry localized Majorana zero-energy states. Using Abelian bosonization and the perturbative renormalization group approach, we obtain the renormalization group flow and the associated scaling dimensions of the parameters and identify the critical points of the low-energy theory. We pred...
متن کاملMajorana zero modes in one-dimensional quantum wires without long-ranged superconducting order
We show that long-ranged superconducting order is not necessary to guarantee the existence of Majorana fermion zero modes at the ends of a quantum wire. We formulate a concrete model, which applies, for instance, to a semiconducting quantum wire with strong spin-orbit coupling and Zeeman splitting coupled to a wire with algebraically decaying superconducting fluctuations. We solve this model by...
متن کاملMagnetic-field instability of Majorana modes in multiband semiconductor wires
Jong Soo Lim,1 Llorenç Serra,1,2 Rosa López,1,2 and Ramón Aguado3 1Institut de Fı́sica Interdisciplinària i de Sistemes Complexos IFISC (CSIC-UIB), E-07122 Palma de Mallorca, Spain 2Departament de Fı́sica, Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain 3Teorı́a y Simulación de Materiales, Instituto de Ciencia de Materiales de Madrid, ICMM-CSIC Cantoblanco, E-28049 Madrid, Spain...
متن کاملProbability 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 کاملInducing topological order in dirty wires: Majorana fermions from scattering
We focus on inducing topological state from regular, or irregular scattering in (i) p-wave superconducting and (ii) proximity coupled Rashba wires. We find that while disorder is detrimental to topological state in p-wave wires, we find that it can induce topological state in Rashba wires contrary to common expectations. We find that the total phase space area of the topological state is conser...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2020
ISSN: 2469-9950,2469-9969
DOI: 10.1103/physrevb.101.241414