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Nonlinear transport in  Na 0.33 V 2 O 5

S.Sirbu 1 , P.H.M. van Loosdrecht 1 , T.Yamauchi 2 , and Y.Ueda 2. 1 Optical Condensed Matter Physics, Material Science Centre, University of Groningen. 2 Institute for Solid State Physics, University of Tokyo, Japan. Nonlinear transport in  Na 0.33 V 2 O 5. Charge ordering T  136 K.

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Nonlinear transport in  Na 0.33 V 2 O 5

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  1. S.Sirbu1, P.H.M. van Loosdrecht1, T.Yamauchi2, and Y.Ueda2 1Optical Condensed Matter Physics, Material Science Centre, University of Groningen 2 Institute for Solid State Physics, University of Tokyo, Japan Nonlinear transport in Na0.33V2O5

  2. Charge ordering T136 K S.C. under pressure Yamada, Ueda JPSJ 68, 2735 (1999) T. Yamauchi, Y. Ueda, N. Mori, PRL, 89, (2002). Magnetic ordering T24 K b-Na0.33V2O5 Phase Transitions

  3. b-Na0.33V2O5 T = 65 K TNa = 240K b-Na0.33V2O5 TMI = 136K 125K 105K 90K 65K Nonlinear transport

  4. Brazovskii, Sov.Phys.JETP 51, 342 (1980) Quasiparticles Quasiparticles + midgap solitons QP & Soliton transport b-Na0.33V2O5

  5. Quasiparticles Quasiparticles + midgap solitons QP & Soliton transport K0.3MoO3

  6. CDW transport models b-Na0.33V2O5 65K

  7. Simple classical model Charge q, applied field E Friction force: q·ET (E>ET) Damping: h Current:  Conductivity

  8. domain conductivity Domains considerations H. Fukuyama and P. Lee, Phys. Rev. B 17 , 535 (1978) Network of series and parallel domains Series  same functional form for conductivity Parallel  sum over domain contributions

  9. Series domains All paths in series can be replaced by an effective conductivity

  10. Parallel domains Taking a Lorentzian domain distribution:

  11. b-Na0.33V2O5 CO transport–simple model

  12. after percolation b-Na0.33V2O5 CO transport–simple model

  13. Conclusions • Highly nonlinear transport below MI transition. Charge density wave like conductivity. • Low field transport: quasiparticles + midgap solitons. • Domain model more adequately describes non-linear conduction of CDW like systems.

  14. x V z O y one Na1+ per two sites Na0.33V2O5 at 300K • Quasi 1D • Sodium ordering 240 K • Charge ordering 136 K • Spin ordering 24 K Space group C2/m (C2h3), a = 16.4 Å; b = 3.6 Å; c = 10.1Å; ß=109.6

  15. Simple classical model Log(s) Log(E) Variants by Grüner, Mihaly,…

  16. Domain model Log(s) Log(E)

  17. Properties of Na0.33V2O5 Charge ordering T=136 K Magnetic ordering T=24 K Yamada, Ueda JPSJ 68, 2735 (1999) T. Yamauchi, Y. Ueda, N. Mori (2002).

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