Electron and Spin Transport in the Presence of Complex Absorbing Potential

Abstract

We examine the impact of a complex absorbing potential on electron transport, both in the continuum and on a lattice. This requires the use of non-Hermitian Hamiltonians; the required formalism is briefly outlined. The lattice formulation allows us to study the interesting problem of an electron interacting with a stationary spin, and the subsequent time evolution of the electron and spin properties as the electron is absorbed after the initial interaction. Remarkably, the properties of the localized spin are affected 'at-a-distance' by the interaction of the (now entangled) electron with a complex potential.

arXiv commentto be published in Phys. Rev. B

References in corpus (4)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Observation of Nonspreading Wave Packets in an Imaginary Potential
• Pseudo-time Schroedinger equation with absorbing potential for quantum scattering calculations
• Impurity Scattering of Wave Packets on a Lattice

Cited by in corpus (7)

• Invisibility in non-Hermitian tight-binding lattices
• Non-Hermitian bidirectional robust transport
• Invisible defects in complex crystals
• Approximate Dirac solutions of complex -symmetric Pöschl-Teller potential in view of spin and pseudospin symmetries
• Imaginary Potential Induced Quantum Coherence for Bose-Einstein Condensates
• Emerging nonequilibrium bound state in spin-current-local-spin scattering
• Physical relevance of time-independent scattering calculations in non-Hermitian systems: The role of time-growing bound states