arXiv subjects

M. W. Wu

Publications and source records attributed to M. W. Wu.

At least 73 records · Page 4Linked to original sources

arXiv2012

Electron spin relaxation in rippled graphene with low mobilities

We investigate spin relaxation in rippled graphene where curvature induces a Zeeman-like spin-orbit coupling with opposite effective magnetic fields along the graphene plane in ${\bf K}$ and ${\bf K}^\prime$ valleys. The joint effect of this Zeeman-like spin-orbit coupling and the intervalley electron-optical phonon scattering opens a spin relaxation channel, which manifests itself in low-mobility samples with the electron mean free path being smaller than the ripple size. Due to this spin relaxation channel, with the increase of temperature, the relaxation time for spins perpendicular to the effective magnetic field first decreases and then increases, with a minimum of several hundred picoseconds around room temperature. However, the spin relaxation along the effective magnetic field is determined by the curvature-induced Rashba-type spin-orbit coupling, leading to a temperature-insensitive spin relaxation time of the order of microseconds. Therefore, the in-plane spin relaxation in low-mobility rippled graphene is anisotropic. Nevertheless, in the presence of a small perpendicular magnetic field, as usually applied in the Hanle spin precession measurement, the anisotropy of spin relaxation is strongly suppressed.

cond-mat.mes-hall↗

arXiv2011

Dynamics of photoexcited carriers in graphene

The nonequilibrium dynamics of carriers and phonons in graphene is investigated by solving the microscopic kinetic equations with the carrier-phonon and carrier-carrier Coulomb scatterings explicitly included. The Fermi distribution of hot carriers are found to be established within 100 fs and the temperatures of electrons in the conduction and valence bands are very close to each other, even when the excitation density and the equilibrium density are comparable, thanks to the strong inter-band Coulomb scattering. Moreover, the temporal evolutions of the differential transmission obtained from our calculations agree with the experiments by Wang et al. [Appl. Phys. Lett. 96, 081917 (2010)] and Hale et al. [Phys. Rev. B 83, 121404 (2011)] very well, with two distinct differential transmission relaxations presented. We show that the fast relaxation is due to the rapid carrier-phonon thermalization and the slow one is mainly because of the slow decay of hot phonons. In addition, it is found that the temperatures of the hot phonons in different branches are different and the temperature of hot carriers can be even lower than that of the hottest phonons. Finally, we show that the slow relaxation rate exhibits a mild valley in the excitation density dependence and is linearly dependent on the probe-photon energy.

cond-mat.mes-hall↗

arXiv2011

Multivalley spin relaxation in $n$-type bulk GaAs in the presence of high electric fields

Multivalley spin relaxation in $n$-type bulk GaAs in the presence of high electric field is investigated from the microscopic kinetic spin Bloch equation approach with the $Γ$ and $L$ valleys included. We show that the spin relaxation time decreases monotonically with the electric field, which differs from the two-dimensional case and is recognized due to to the cubic form of the Dresselhauss spin-orbit coupling of the $Γ$ valley in bulk. In addition to the direct modulation of the spin relaxation time, the electric field also strongly influences the density and temperature dependences of the spin relaxation. In contrast to the monotonic decrease with increasing lattice temperature in the field-free condition, the spin relaxation time is shown to decrease more slowly under the influence of the electric field and even to increase monotonically in the case with small electron density and high electric field. We even predict a peak in weakly doped samples under moderate electric field due to the anomalous lattice-temperature dependence of the hot-electron temperature. As for the $L$ valleys, we show that instead of playing the role of a "drain" of the total spin polarization as in quantum well systems, in bulk they serve as a "momentum damping area", which prevents electrons from drifting to higher momentum states. This tends to suppress the inhomogeneous broadening and hence leads to an increase of the spin relaxation time.

cond-mat.mtrl-sci↗

arXiv2011

Hole spin relaxation and coefficients in Landau-Lifshitz-Gilbert equation in ferromagnetic GaMnAs

We investigate the temperature dependence of the coefficients in the Landau-Lifshitz-Gilbert equation in ferromagnetic GaMnAs by employing the Zener model. We first calculate the hole spin relaxation time based on the microscopic kinetic equation. We find that the hole spin relaxation time is typically several tens femtoseconds and can present a nonmonotonic temperature dependence due to the variation of the interband spin mixing, influenced by the temperature related Zeeman splitting. With the hole spin relaxation time, we are able to calculate the coefficients in the Landau-Lifshitz-Gilbert equation, such as the Gilbert damping, nonadiabatic spin torque, spin stiffness and vertical spin stiffness coefficients. We find that the nonadiabatic spin torque coefficient $β$ is around $0.1\sim 0.3$ at low temperature, which is consistent with the experiment [Adam {\em et al.}, Phys. Rev. B {\bf 80}, 193204 (2009)]. As the temperature increases, $β$ monotonically increases and can exceed one in the vicinity of the Curie temperature. In the low temperature regime with $β<1$, the Gilbert damping coefficient $α$ increases with temperature, showing good agreement with the experiments [Sinova {\em et al.}, Phys. Rev. B {\bf 69}, 085209 (2004); Khazen {\em et al.}, {\em ibid.} {\bf 78}, 195210 (2008)]. Furthermore, we predict that $α$ decreases with increasing temperature once $β>1$ near the Curie temperature. We also find that the spin stiffness decreases with increasing temperature, especially near the Curie temperature due to the modification of the finite $β$. Similar to the Gilbert damping, the vertical spin stiffness coefficient is also found to be nonmonotonically dependent on the temperature.

cond-mat.mtrl-sci↗

arXiv2011

Spin-orbit coupling and $g$-factor of $X$-valley in cubic GaN

We report our theoretically investigation on the spin-orbit coupling and $g$-factor of the $X$-valley in cubic GaN. We find that the spin-orbit coupling coefficient from $sp^3d^5s^\ast$ tight-binding model is 0.029\,eV$\cdot$Å, which is comparable with that in cubic GaAs. By employing the ${\bf k}\cdot{\bf p}$ theory, we find that the $g$-factor in this case is only slightly different from the free electron $g$-factor. These results are expected to be important for the on-going study on spin dynamics far away from equilibrium in cubic GaN.

cond-mat.mtrl-sci↗

arXiv2011

Theory of excitons in cubic III-V semiconductor GaAs, InAs and GaN quantum dots: fine structure and spin relaxation

Exciton fine structures in cubic III-V semiconductor GaAs, InAs and GaN quantum dots are investigated systematically and the exciton spin relaxation in GaN quantum dots is calculated by first setting up the effective exciton Hamiltonian. The electron-hole exchange interaction Hamiltonian, which consists of the long- and short-range parts, is derived within the effective-mass approximation by taking into account the conduction, heavy- and light-hole bands, and especially the split-off band. The scheme applied in this work allows the description of excitons in both the strong and weak confinement regimes. The importance of treating the direct electron-hole Coulomb interaction unperturbatively is demonstrated. We show in our calculation that the light-hole and split-off bands are negligible when considering the exciton fine structure, even for GaN quantum dots, and the short-range exchange interaction is irrelevant when considering the optically active doublet splitting. We point out that the long-range exchange interaction, which is neglected in many previous works, contributes to the energy splitting between the bright and dark states, together with the short-range exchange interaction. Strong dependence of the optically active doublet splitting on the anisotropy of dot shape is reported. Large doublet splittings up to 600 $μ$eV, and even up to several meV for small dot size with large anisotropy, is shown in GaN quantum dots. The spin relaxation between the lowest two optically active exciton states in GaN quantum dots is calculated, showing a strong dependence on the dot anisotropy. Long exciton spin relaxation time is reported in GaN quantum dots. These findings are in good agreement with the experimental results.

cond-mat.mes-hall↗

arXiv2011

Electron spin diffusion and transport in graphene

We investigate the spin diffusion and transport in a graphene monolayer on SiO$_2$ substrate by means of the microscopic kinetic spin Bloch equation approach. The substrate causes a strong Rashba spin-orbit coupling field $\sim 0.15$ meV, which might be accounted for by the impurities initially present in the substrate or even the substrate-induced structure distortion. By surface chemical doping with Au atoms, this Rashba spin-orbit coupling is further strengthened as the adatoms can distort the graphene lattice from $sp^2$ to $sp^3$ bonding structure. By fitting the Au doping dependence of spin relaxation from Pi {\sl et al.} [Phys. Rev. Lett. {\bf 104}, 187201 (2010)], the Rashba spin-orbit coupling coefficient is found to increase approximately linearly from 0.15 to 0.23 meV with the increase of Au density. With this strong spin-orbit coupling, the spin diffusion or transport length is comparable with the experimental values. In the strong scattering limit (dominated by the electron-impurity scattering in our study), the spin diffusion is uniquely determined by the Rashba spin-orbit coupling strength and insensitive to the temperature, electron density as well as scattering. With the presence of an electric field along the spin injection direction, the spin transport length can be modulated by either the electric field or the electron density. (The remaining is omitted due to the limit of space)

cond-mat.mes-hall↗

arXiv2011

Singlet-triplet relaxation in SiGe/Si/SiGe double quantum dots

We study the singlet-triplet relaxation due to the spin-orbit coupling assisted by the electron-phonon scattering in two-electron SiGe/Si/SiGe double quantum dots in the presence of an external magnetic field in either Faraday or Voigt configuration. By explicitly including the electron-electron Coulomb interaction and the valley splitting induced by the interface scattering, we employ the exact-diagonalization method to obtain the energy spectra and the eigenstates. Then we calculate the relaxation rates with the Fermi golden rule. We find that the transition rates can be effectively tuned by varying the external magnetic field and the interdot distance. Especially in the vicinity of the anticrossing point, the transition rates show intriguing features. We also investigate the electric-field dependence of the transition rates, and find that the transition rates are almost independent of the electric field. This is of great importance in the spin manipulation since the lifetime remains almost the same during the change of the qubit configuration from $(1,1)$ to $(2,0)$ by the electric field.

cond-mat.mes-hall↗

arXiv2011

Optical response of graphene under intense terahertz fields

Optical responses of graphene in the presence of intense circularly and linearly polarized terahertz fields are investigated based on the Floquet theory. We examine the energy spectrum and density of states. It is found that gaps open in the quasi-energy spectrum due to the single-photon/multi-photon resonances. These quasi-energy gaps are pronounced at small momentum, but decrease dramatically with the increase of momentum and finally tend to be closed when the momentum is large enough. Due to the contribution from the states at large momentum, the gaps in the density of states are effectively closed, in contrast to the prediction in the previous work by Oka and Aoki [Phys. Rev. B {\bf 79}, 081406(R) (2009)]. We also investigate the optical conductivity for different field strengths and Fermi energies, and show the main features of the dynamical Franz-Keldysh effect in graphene. It is discovered that the optical conductivity exhibits a multi-step-like structure due to the sideband-modulated optical transition. It is also shown that dips appear at frequencies being the integer numbers of the applied terahertz field frequency in the case of low Fermi energy, originating from the quasi-energy gaps at small momentums. Moreover, under a circularly polarized terahertz field, we predict peaks in the middle of the "steps" and peaks induced by the contribution from the states around zero momentum in the optical conductivity.

cond-mat.mes-hall↗

arXiv2011

Electron spin diffusion at the interface of multiferroic oxides

We study the spin diffusion in a two-dimensional electron gas at the interface of oxide heterostructure LaAlO$_3$/SrTiO$_3$ grown on multiferroic TbMnO$_3$ at 15 K by means of the kinetic spin Bloch equation approach. The spiral magnetic moments of Mn$^{3+}$ in TbMnO$_3$ interact with the diffusing spins at the LaAlO$_3$/SrTiO$_3$ interface via the Heisenberg exchange interaction. It is demonstrated that the spin diffusion length is always finite, despite the polarization direction of the injected spins. Our study also reveals the important role played by the Coulomb scattering, which can effectively suppress the spin diffusion.

cond-mat.mes-hall↗

arXiv2010

Spin relaxation and spin dynamics in semiconductors

A chapter contribution to book: "Handbook of Spin Transport and Magnetism", ed. by Evegeny Y. Tsymbal and Igor Zutic (Chapman & Hall/CRC, 2011) http://www.crcpress.com/product/isbn/9781439803776 .

cond-mat.mes-hall↗

arXiv2010

Electric manipulation of electron spin relaxation induced by confined phonons in nanowire-based double quantum dots

We investigate theoretically the electron spin relaxation in single-electron nanowire-based semiconductor double quantum dots induced by confined phonons and find that the electron spin relaxation rate can be efficiently manipulated by external electric fields in such system. An anti-crossing, due to the coaction of the electric field, the magnetic field and the spin-orbit coupling, exists between the lowest two excited states. Both energies and spins of the electron states can be efficiently tuned by the electric field around the anti-crossing point. Multiple sharp peaks exist in the electric-field dependence of the spin relaxation rate induced by the confined phonons, which can be ascribed to the large density of states of the confined phonons at the van Hove singularities. This feature suggests that the nanowire-based double quantum dots can be used as electric tunable on-and-off spin switches, which are more sensitive and flexible than the ones based on quantum-well based double quantum dots. The temperature dependence of the spin relaxation rate at the anti-crossing point are calculated and a smooth peak, indicating the importance of the contribution of the off-diagonal elements of the density matrix to the spin relaxation, is observed.

cond-mat.mes-hall↗

arXiv2010

Voltage controlled spin precession in InAs quantum wells

In this work we investigate spin diffusion in InAs quantum wells with the Rashba spin-orbit coupling modulated by a gate voltage. The gate voltage dependence of the spin diffusion under different temperatures is studied with all the scattering explicitly included. Our result partially supports the claim of the realization of the Datta-Das spin-injected field effect transistor by Koo {\it et al.} [Science {\bf 325}, 1515 (2009)]. We also show that the scattering plays an important role in spin diffusion in such a system.

cond-mat.mes-hall↗

arXiv2010

Existence of vertical spin stiffness in Landau-Lifshitz-Gilbert equation in ferromagnetic semiconductors

We calculate the magnetization torque due to the spin polarization of the itinerant electrons by deriving the kinetic spin Bloch equations based on the $s$-$d$ model. We find that the first-order gradient of the magnetization inhomogeneity gives rise to the current-induced torques, which are consistent to the previous works. At the second-order gradient, we find an effective magnetic field perpendicular to the spin stiffness filed. This field is proportional to the nonadiabatic parameter $β$. We show that this vertical spin stiffness term can significantly modify the domain-wall structure in ferromagnetic semiconductors and hence should be included in the Landau-Lifshitz-Gilbert equation in studying the magnetization dynamics.

cond-mat.mtrl-sci↗

arXiv2010

Hole spin relaxation in intrinsic and $p$-type bulk GaAs

We investigate hole spin relaxation in intrinsic and $p$-type bulk GaAs from a fully microscopic kinetic spin Bloch equation approach. In contrast to the previous study on hole spin dynamics, we explicitly include the intraband coherence and the nonpolar hole-optical-phonon interaction, both of which are demonstrated to be of great importance to the hole spin relaxation. The relative contributions of the D'yakonov-Perel' and Elliott-Yafet mechanisms on hole spin relaxation are also analyzed. In our calculation, the screening constant, playing an important role in the hole spin relaxation, is treated with the random phase approximation. In intrinsic GaAs, our result shows good agreement with the experiment data at room temperature, where the hole spin relaxation is demonstrated to be dominated by the Elliott-Yafet mechanism. We also find that the hole spin relaxation strongly depends on the temperature and predict a valley in the density dependence of the hole spin relaxation time at low temperature due to the hole-electron scattering. In $p$-type GaAs, we predict a peak in the spin relaxation time against the hole density at low temperature, which originates from the distinct behaviors of the screening in the degenerate and nondegenerate regimes. The competition between the screening and the momentum exchange during scattering events can also lead to a valley in the density dependence of the hole spin relaxation time in the low density regime. At high temperature, the effect of the screening is suppressed due to the small screening constant. Moreover, we predict a nonmonotonic dependence of the hole spin relaxation time on temperature associated with the screening together with the hole-phonon scattering. Finally, we find that the D'yakonov-Perel' mechanism can markedly contribute to the .... (omitted due to the limit of space)

cond-mat.mes-hall↗

arXiv2010

Spin relaxation in $n$-type (111) GaAs quantum wells

We investigate the spin relaxation limited by the D'yakonov-Perel' mechanism in $n$-type (111) GaAs quantum wells, by means of the kinetic spin Bloch equation approach. In (111) GaAs quantum wells, the in-plane effective magnetic field from the D'yakonov-Perel' term can be suppressed to zero on a special momentum circle under the proper gate voltage, by the cancellation between the Dresselhaus and Rashba spin-orbit coupling terms. When the spin-polarized electrons mainly distribute around this special circle, the in-plane inhomogeneous broadening is small and the spin relaxation can be suppressed, especially for that along the growth direction of quantum well. This cancellation effect may cause a peak (the cancellation peak) in the density or temperature dependence of the spin relaxation time. In the density (temperature) dependence, the interplay between the cancellation peak and the ordinary density (Coulomb) peak leads to rich features of the density (temperature) dependence of the spin relaxation time. The effect of impurities, with its different weights on the cancellation peak and the Coulomb peak in the temperature dependence of the spin relaxation, is revealed. We also show the anisotropy of the spin relaxation with respect to the spin-polarization direction.

cond-mat.mes-hall↗

arXiv2010

Electron spin relaxation in graphene from a microscopic approach: Role of electron-electron interaction

Electron spin relaxation in graphene on a substrate is investigated from the fully microscopic kinetic spin Bloch equation approach. All the relevant scatterings, such as the electron-impurity, electron--acoustic-phonon, electron--optical-phonon, electron--remote-interfacial-phonon, as well as electron-electron Coulomb scatterings, are explicitly included. Our study concentrates on clean intrinsic graphene, where the spin-orbit coupling from the adatoms can be neglected. We discuss the effect of the electron-electron Coulomb interaction on spin relaxation under various conditions. It is shown that the electron-electron Coulomb scattering plays an important role in spin relaxation at high temperature. We also find a significant increase of the spin relaxation time for high spin polarization even at room temperature, which is due to the Coulomb Hartree-Fock contribution-induced effective longitudinal magnetic field. It is also discovered that the spin relaxation time increases with the in-plane electric field due to the hot-electron effect, which is different from the non-monotonic behavior in semiconductors. Moreover, we show that the electron-electron Coulomb scattering in graphene is not strong enough to establish the steady-state hot-electron distribution in the literature and an alternative approximate one is proposed based on our computation.

cond-mat.mtrl-sci↗

arXiv2010

Unique Electron Spin Relaxation Induced by Confined Phonons in Nanowire-Based Quantum Dots

Electron spin relaxation in nanowire-based quantum dots induced by confined phonons is investigated theoretically. Due to the one-dimensional nature of the confined phonons, the van Hove singularities of the confined phonons and the zero of the form factor of the electron-phonon coupling can lead to unique features of the spin relaxation rate. Extremely strong spin relaxation can be obtained at the van Hove singularity. Meanwhile the spin relaxation rate can also be greatly suppressed at the zero of the form factor. This unique feature indicates the flexibility of nanowire-based quantum dots in the manipulation of spin states. It also offers a way to probe the property of the confined phonons.

cond-mat.mes-hall↗