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CHARGE DENSITY GLASS DYNAMICS SOFT POTENTIALS AND SOFT MODES. K. Biljaković Institute of physics , Zagreb , Croatia. K. Biljaković. ECRYS-2011. 1/18. THERMO dynamic properties : 50 mK < T < 10 K of CDW (SDW) systems generic behaviour DW glasses ÷ conventional glasses.
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CHARGE DENSITY GLASS DYNAMICS SOFT POTENTIALS AND SOFT MODES K. Biljaković Institute of physics, Zagreb, Croatia K.Biljaković ECRYS-2011 1/18
THERMOdynamicproperties: 50 mK< T <10 K of CDW (SDW) systems genericbehaviour DW glasses÷conventionalglasses K.Biljaković ECRYS-2011 2/18
´86….spoon like softening K.Biljaković ECRYS-2011 3/18
twoadditionalcontributions to low-T C p • T <1K TwoLevelStates/Systems (TLS) contribution • C TLS ~ Tνν < 1 • T < 1K • “Bosonpeak – like” contribution • bump in Cp/T3 K.Biljaković ECRYS-2011 4/18
Glassdynamics K.Biljaković ECRYS-2011 5/18
Soft potentials… K.Biljaković ECRYS-2011 6/18
Two Level States/Systems(TLS) • glasses • microscopic nature of TLS • still a mystery • “an atom/group of atoms sitting • equallywell in one of two positions” • DW glasses • TLS are local DW deformations • solitons • Larkin,Brazovsky, Ovchinnikov, Mélin • TLS responsible for the low –T properties • specific heat CV ~ T • thermal conductivity ~ T2 • TLS responsible for the low –T properties • veryslowdynamics • magneticfieldeffects • specific heat CV ~ Tν+ T-2 K.Biljaković ECRYS-2011 7/18
time-dependentCp long-time relaxations Phonons C0 are weakycoupled to CLEE K.Biljaković ECRYS-2011 8/18
Energybarriers K.Biljaković ECRYS-2011 9/18
TLS vs. (secondary) process K.Biljaković ECRYS-2011 10/18
Soft modes… K.Biljaković ECRYS-2011 11/18
Kohnanomaly Boson peak in glasses freezing of incomplete softening!? KCP Bluebronze K.Biljaković Monaco & Mossa, PNAS 2009 ECRYS-2011 12/18
Pinning resonance – DWG bosonpeak K.Biljaković ECRYS-2011 13/18
K.Biljaković ECRYS-2011 14/18
Otherincommensuratesystems… Cano & Levanyuk, PRL 2004 K.Biljaković ECRYS-2011 15/18
K.Biljaković ECRYS-2011 16/18
Thanks tocollaboration J.C. Lasjaunias, P. Monceau, G. Remenyi, R. Mélin, J. Souletie* Institut L. Néel, Grenoble S. Sahling TU Dresden, Institut fürFestkörperphysik D. Starešinić Institute of Physics, Zagreb K.Biljaković ECRYS-2011 17/18
I am a mountainI am the sea,You can't take that away from me
amplitudon phason K.Biljaković ECRYS-2011 5/13
K.Biljaković ECRYS-2011 3/13