Tunneling measurement of quantum spin oscillations

Abstract

We consider the problem of tunneling between two leads via a localized spin 1/2 or any other microscopic system which can be modeled by a two-level Hamiltonian. We assume that a constant magnetic field ${\mathbf{B}}_0$ acts on the spin, that electrons in the leads are in the thermal equilibrium and that the tunneling electrons are coupled to the spin through exchange and spin-orbit interactions. Using the non-equilibrium Keldysh formalism we find the dependence of the spin-spin and current-current correlation functions on the applied voltage between leads $V$, temperature $T$, ${\mathbf{B}}_0$, and on the degree and orientation ${\mathbf{m}}_{\alpha }$ of spin polarization of the electrons in the right ($\alpha =$R) and left ($\alpha =$L) leads. We compare our results of a full quantum-mechanical treatment of the tunneling-via-spin model with those previously obtained in the quasi-classical approach, and discuss the experimental results observed using STM dynamic probes of the localized spin.

arXiv comment15 pages, 12 figures

References in corpus (5)

• Continuous weak measurement of quantum coherent oscillations
• Quantum feedback control of a solid-state qubit
• New Fermionic Description of Quantum S = 1/2 Antiferromargnet
• On the perturbative expansion of the magnetization in the out-of-equilibrium Kondo model
• Exchange Based Noise Spectroscopy of a Single Precessing Spin with STM

Cited by in corpus (22)

• Theory of Transport through Quantum-Dot Spin Valves in the Weak-Coupling Regime
• Exchange mechanism for electron paramagnetic resonance of individual adatoms
• Spin-spin correlators in Majorana representation
• Spin Noise Fluctuations from Paramagnetic Molecular Adsorbates on Surfaces
• Tunneling Spectroscopy of Two-level Systems Inside Josephson Junction
• Spin Dynamics in a Tunnel Junction between Ferromagnets
• Effective temperature and Gilbert damping of a current-driven localized spin
• Quantum measurement in the charge representation
• Output spectrum of a measuring device at arbitrary voltage and temperature
• Nondemolition measurements of a single quantum spin using Josephson oscillations
• Electron Paramagnetic Resonance of Single Magnetic Moment on a Surface
• Quantum interference in resonant tunneling and single spin measurements
• Voltage dependence of Landau-Lifshitz-Gilbert damping of a spin in a current driven tunnel junction
• Inelastic cotunneling induced decoherence and relaxation, charge and spin currents in an interacting quantum dot under a magnetic field
• A model for the ESR-STM phenomenon
• Low-frequency noise in tunneling through a single spin
• Double Quantum Dot scenario for spin resonance in current noise
• Nanoscopic interferometer model for spin resonance in current noise
• Magnetotransport in the Kondo model with ferromagnetic exchange interaction
• Spin-Orbit Scattering and Time-Reversal Symmetry: Detection of a Spin by Tunneling
• Qubit measurement using a quantum point contact with a quantum Langevin equation approach
• Controlling inelastic cotunneling through an interacting quantum dot by a circularly-polarized field