Effects Of Disorder And Superconducting Phase On Transport Properties Of Topological Superconducting Heterojunctions

Majorana fermions satisfy non-Abelian statistics and are ideal particles for performing topological quantum calculations,but such particles have not been found experimentally.The discovery of topological insulators brings a new dawn to the search for Majorana fermions.Topological superconductors can be formed by coupling topological insulators with neighboring superconductors.Because topological matter has edge states,and edge states are generally not affected by disturbances,the decoherence and noise problems in current quantum computing can be avoided.Therefore,it is expected to realize a new generation of quantum computers-topological quantum computers.Impurities are inevitably added during the preparation of materials,and they usually show different forms of disorder,such as: Anderson disorder,single-surface Anderson disorder,and magnetic disorder.These disorders can affect many physical properties of the material.However,topological materials are robust to disorder,and their properties are generally not affected by disorder.However,if disorder increases to a certain extent,topological materials will exhibit many strange phenomena.In recent years,disorder in topological superconductors has also received widespread attention.In this paper,we construct topological superconducting heterojunctions and use the non-equilibrium Green's function method to study the effects of three different disorder on the transport properties of two-dimensional topological superconducting heterojunctions.We find that the effects of three different disorder on the transport properties of topological superconducting heterojunctions are different.Anderson disorder will cause the state of topological Chen number N(28)2 to exist in a wider range;single-surface Anderson disorder will destroy the edge state more than ordinary Anderson disorder;We have also studied the effect of Magnetic disorder on the transport properties of two-dimensional topological superconducting heterojunctions.We find that magnetic disorder is very destructive to its edge states when the intensity is very small,which is the most destructive of these three kinds of disorder.At the same time,we also studied the effect of the topological superconducting phase on the transport properties of the topological superconducting heterojunction.We found that the superconducting phase has modulation effect on the transport.In addition,it is pointed out that the effect of superconducting phase on the transport is particularly obvious at 0 and (?).