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Spintronics and Graphene Spin Valves and Giant Magnetoresistance Graphene spin valves Coherent spin valves with graphene. Fe/Cr stack: T = 4.2 K H APPL = 0 Fe Spins anti-parallel for d Cr < 30 Å. Fe/Cr stack: T = 4.2 K H APPL = H(saturation) Fe Spins parallel. Strong H APPL . Fe.
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Spintronics and Graphene • Spin Valves and Giant Magnetoresistance • Graphene spin valves • Coherent spin valves with graphene
Fe/Cr stack: T = 4.2 K HAPPL = 0 Fe Spins anti-parallel for dCr< 30 Å Fe/Cr stack: T = 4.2 K HAPPL = H(saturation) Fe Spins parallel Strong HAPPL Fe Fe Fe Cr Cr V V Cr Cr Cr Low resistance due to spin-dependent scattering High resistance due to spin-dependent scattering
Fe Fe Fe Cr Cr V V Cr Cr Babitch, et al., PRL 61 (1988) 2472 Very large MR = [R(↑↓) – R(↑↑)]/R(↑↑) (different from TMR!)
GMR effect is due to fact that electron scattering is less for spin aligned and spin antiparallel electrons. λ(↑↑)/λ(↑↓) ~ 20 in some systems From http://en.wikipedia.org/wiki/File:Spin-valve_GMR.svg
Technology in use in magnetic recording media/memories In plane spin valve Spin valves in the reading head of a sensor in the CIP (left) and CPP (right) geometries. Red: leads providing current to the sensor, green and yellow: ferromagnetic and non-magnetic layers. V: potential difference From http://en.wikipedia.org/wiki/File:Spin-valve_GMR.svg
Is graphene a good medium for spintronics? • High mobility should yield long spin “diffusion” length • (~ 1-2 μm, Tombros, et al., Nature 448, 571 (2007)
Graphene Spin Valves—Early attempts (Tombros, et al, Nature 448 (2007), Kawakami group (UCR), Fuhrer group, Umaryland) W. Han, et al. (Kawakami group) Proc. SPIE 7398(2009) 739819-1 General Results, uninspiring, MR ~ 10% at cryogenic temperatures! WHY????????
Spin injection via tunneling, Not very efficient (< 10%) oxide H applied Spin diffusion—grain boundaries, substrate interactions lower the graphene mobilities to ~ 2000 cm2/V-s P = [N↑ - N↓]/[N↑ + N↓] Length dependence—Device is dimension-dependent… P L
Basic Problem: Previous designs deal with transport of discrete spins Can we polarize spins in graphene near the Fermi Level? Prediction: Yes, predicted graphene/ferromg. Exchange interactions lead to polariztion of graphene conduction band HAUGEN, HUERTAS-HERNANDO, AND BRATAAS PHYSICAL REVIEW B 77, 115406 2008
Spin relaxation rate in graphene much faster than predicted. Why: Interaction with “magnetic defects” in physically transferred graphene (Lundeberg, et al. PRL 110, 156601 (2013)) Spin de-phasing rate decreases in external magnetic field is applied. Data indicate a relaxation time for individual spins of ~ 5 ns
Graphene growth on Co3O4(111)/Co(0001) MBE (graphite source)@1000 K: Layer-by-layer growth 1st ML 3 ML 2nd ML 0.4 ML M. Zhou, et al., J. Phys.: Cond. Matt. 24 (2012) 072201 IEEE Nanodev. 2012
LEED: Oxide/Carbon Interface is incommensurate: Spinel is more stable than rocksalt (111) Graphene Domain Sized (from FWHM) ~1800 Å (comp. to HOPG) 65 eV beam energy 65eV (a) (b) graphene 0.4 ML Co3O4(111) 65 eV beam energy (d) (c) 3 ML 65eV Oxide spots attenuated with increasing Carbon coverage 2.5 Å 2.8 Å M. Zhou, et al., J. Phys.: Cond. Matt. 24 (2012) 072201 2.8 Å O-O surface repeat distance on Co3O4(111) W. Meyer, et al. JPCM 20 (2008) 265011 IEEE Nanodev. 2012
http://iramis.cea.fr/sis2m/en/Phocea/Vie_des_labos/Ast/ast_sstechnique.php?id_ast=499http://iramis.cea.fr/sis2m/en/Phocea/Vie_des_labos/Ast/ast_sstechnique.php?id_ast=499
Room temperature MOKE (blue) and Reflectivity (Red) Data (from Dowben group): Graphene ferromagnetic ordering perpendicular to sample plane! AF ordering 260 K above Néel Point! IEEE Nanodev. 2012
A New Type of Spin Switch? Unpolarized State (OFF) Graphene conduction electrons (unpolarized) Graphene conduction electrons (polarized) Co+2 ions (unpolarized) Co3O4(111) Co3O4(111) Co+2 ions (polarized) Co(111) Co(111) Sapphire(0001) Sapphire(0001) Polarized State (ON) Eexch > 300 K Magnetic polaron formation
Problem: Most samples appear to order in plane (oxide and graphene) Do not know why??????? NOTE: AF Ordering at > 420 K!! TN Co3O4 ~ 40 K Strong graphene/Co3O4/Co exchange!
Alternative: Cr2O3 on Co(0001)—strong oxide perpendicular anisotropy TN ~ 300 K Magnetoelectric Voltage control of magnetic behavior • Will Cr2O3(0001) on Co(0001) order at higher Temp? • Will it order with perpendicular anisotropy? • Can we grow Cr2O3(0001) on Co? • Can we grow graphene on Cr2O3(0001) on Co?
(b) Gr Ox (a) Gr/Co3O4(111)/Co(111) (d) Gr (c) Ox Gr/Cr2O3(0001)/Co(111)
Can we grow Gr/Cr2O3 by a method which does not involve leaving the Auger electron gun on overnight??????????????????????? Stay tuned!
Potential Spintronics Application Graphene on a Co3O4(111): Magnetic Polaron Formation for Spin Valves Coherent Spin Transport? Magnetic Polaron Formation Stabilized by Graphene/Co ion exchange interactions Coherent Spin-FET IEEE Nanodev. 2012
Why is a coherent spin valve different? Conventional Spin Valve Polarization is a function of source/drain distance (Tombros, et al., Nature 448(1007) 571 Polarization is uniform Coherent Spin Valve P = N↑ - N↓ or Cr2O3 N↑+N↓ Coherent spin transport: No spin injection No spin diffusion
Coherent vs. Diffusive Spin FETS ? Graphene/magnetic oxide: coherent spin transports 200% 100% Graphene, but diffusive spin transport Band Gap (NiO(111)/Ni(111)? Other factors 12%@4K 6%@4K Kawakami group/7 K (Wang, et al. PRB 77 (2008) 020402R Graphene/FM structure >200%@300 K (predicted) Cho, et al., APL 91 (2007) 123105