vix.ing · top · new · best · stats · spec

Wave function in the presence of constraints: Persistent current in coupled rings

2009/07/31 by D. Schmeltzer, Avadh Saxena
Physics and Astronomy · #Condensed matter physics #Current (fluid) #Electron #Flux (metallurgy) #Function (biology) #Magnetic field #Magnetic flux #Magnetic properties of thin films #Magnetization #Materials science #Momentum (technical analysis) #Persistent current #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Superconductivity #Wave function #cond-mat.mes-hall #cond-mat.mtrl-sci

paper · pdf · doi:10.1103/physrevb.81.195310

arxiv created 2009/12/24 · openalex publication_date 2010/05/07 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Using a method introduced earlier, we compute the wave function in the presence of constraints. As an explicit example we compute the wave function for the many electrons problem in coupled metallic rings in the presence of external magnetic fluxes. For equal fluxes and an even number of electrons the constraints enforce a wave function with a vanishing total momentum and a large persistent current and magnetization in contrast to the odd number of electrons where at finite temperatures the current is suppressed. We propose that the even-odd property can be verified by measuring the magnetization as a function of a varying gate voltage coupled to the rings. By reversing the flux in one of the rings the current and magnetization vanish in both rings; this can be potentially used as a nonlocal control device.

Citations