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Logo: Institute for Solid State Physics – Nanostructures Group
Logo Leibniz Universität Hannover
Logo: Institute for Solid State Physics – Nanostructures Group
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Principles and Basics

Spin Noise Spectroscopy

Our group has successfully employed spin noise spectroscopy (SNS) in semiconductor materials as a new sensitive tool to measure the spin-coherence time of electrons in n-GaAs nearly interaction free. Noise spectroscopy is an elegant method to unravel properties of a system in thermal equilibrium, without exposing it to unnecessary excitations. Previously utilized techniques to study the spin-coherence of charge carriers, like photoluminescence or pump-probe techniques, had always to rely on the optical above band gap excitation of the material. Therefore a contribution, even though small, of non-equilibrium effects, carrier heating and the spin-dephasing influence of holes can never be excluded. This is even more of importance if it comes to small size quantum systems. Spin noise spectroscopy in semiconductors empowers us to measure extreme long spin coherence times at low temperatures, which may have been masked in the past by effects like those mentioned above. The experiment can easily be extended to study spin-spin correlations in coupled quantum dots or phase transitions in semiconductors with magnetic impurities, without imposing a systematic influence on the underlying effects. The inherently low perturbation of this method makes it also very suitable to investigate single electron or hole spins in quantum dots or bound to impurities. The experimental principle is based upon the measurement of the noise spectrum of the below band-gap Faraday-rotation at low temperatures with high frequency spectrum analysis techniques.

A typical spin noise spectrum under external magnetic field yields the spin lifetime, the g-factor and the number of fluctuating spins within the probe area.

Time Resolved Photoluminescence

Circularly polarized laser pulses from a mode-locked Ti:sapphire laser are used to create an electron spin polarization in the conduction band of a semiconductor sample (e.g. GaAs) parallel to the excitation direction via the optical selection rules. The sample is mounted in a cryostat with a superconducting magnet that can apply magnetic fields up to 9 T. Photoluminescence (PL) is produced by the recombination of electron-hole pairs which then emit a photon that is either left or right circularly polarized according to the optical selection rules. In the case of spin polarized carriers the emission probability for left and right circular polarized light is different, i.e., the electron spin polarization manifests in the degree of optical polarization of the PL. Both circular polarized PL components are resolved by a Liquid Crystal Retarder (LCR) followed by a Linear Polarizer (LP) in consecutive measurements. A spectrometer disperses the PL to resolve the wavelength and a streak camera system records the time evolution of the PL providing a time resolution of up to 2 ps.

(a) Streak camera images of both polarized PL components of a measurement with applied magnetic field (the intensity is depicted in terms of colors and the white axes indicate the time and wavelength). The applied magnetic field causes the electron spin polarization to precess about the magnetic field leading to the oscillating intensity behavior of the polarization resolved PL (spin quantum beats).

(b) Wavelength integrated temporal evolution of both PL components.

(c) Calculated degree of polarization of the PL. Fitting a damped oscillation to the data yields the electron g-factor (Larmor frequency) and the electron spin lifetime (exponential decay).