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Volumn 71, Issue SUPPL., 2002, Pages 17-22

Local relaxation approach to the non fermi liquid and strongly correlated electronic states

Author keywords

Heavy fermion; Heterogeneity; Non exponential decay; Non fermi liquid; Susceptibility

Indexed keywords


EID: 3042830947     PISSN: 00319015     EISSN: 13474073     Source Type: Journal    
DOI: 10.1143/jpsjs.71s.17     Document Type: Conference Paper
Times cited : (2)

References (48)
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    • Low frequency phenomena permit long time scale averages giving mean field like homogeneity to statistical quantities.5,14,15).
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    • An isolated particle, e.g. an electron, has attributes of mass, charge and spin. In an electron quasiparticle approximation to a macroscopic state these quantities are no longer unique, either the particle or the attributes must be redefined. Following convention we redefine the particle giving the conceptual pure 'spin fluctuation' quasiparticle as a mixture of the basic electronic and nuclear spin, charge and motional degrees of freedom. It is then not evident that, for example, the neutron will act as an appropriate 'spin fluctuation' filter since it couples electromagnetically to the total b field (electron and nucleus) and via the strong force to the ionic mass. With changing constraints of the imposed thermodynamic state it does not follow either that the initial quasiparticle representation will rappropriate to the evolved macrostate, nor that the probe projection of the quasiparticle will rconstant. This may restrict e.g. the temperature and pressure range of interpretation. Changing the probe to, for example, magnetic x-ray scattering or NMR may alter the projected quasiparticle properties in a significant manner both on account of the coupling constant and the relative space-time coherence scales of probe and quasiparticle an isolated particle, e.g. an electron, has attributes of mass, charge and spin. In an electron quasiparticle approximation to a macroscopic state these quantities are no longer unique, either the particle or the attributes must be redefined. Following convention we redefine the particle giving the (conceptual) pure 'spin fluctuation' quasiparticle as a mixture of the basic electronic and nuclear spin, charge and motional degrees of freedom. It is then not evident that, for example, the neutron will act as an appropriate 'spin fluctuation' filter since it couples electromagnetically to the total b field (electron and nucleus) and via the strong force to the ionic mass. With changing constraints of the imposed thermodynamic state it does not follow either that the initial quasiparticle representation will rappropriate to the evolved macrostate, nor that the probe projection of the quasiparticle will rconstant. This may restrict e.g. the temperature and pressure range of interpretation. Changing the probe to, for example, magnetic x-ray scattering or NMR may alter the projected quasiparticle properties in a significant manner both on account of the coupling constant and the relative space-time coherence scales of probe and quasiparticle.
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    • Construction of a PDF is based on the implicit assumption of an incoherent sum.
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    • A concept of motion may be central to define dimension and time; this invokes a degree of localisation of the evolving microstate.
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    • An interesting counter intutative example is provided by the doping dependence of the response in Hi-Tc materials where, contary to expectations, in both La1-xBax;Cu04 and La11-xSrxCu04 the susceptibility is most FL like (SED) in the immediate vicinity of the critical composition for anti- ferromagnetism (i.e. x ∼ 0.04).6) In a classical scenario, the presence of an incipient phase transition would be anticipated to result in strong NER. From the present perspective, the disordered, spin-glass like, nature coupled with a diverging susceptibility, Xo, suggests the distribution of fluctuating volumes not to exceed V2 with resultant SED. Increased doping reduces X0 (v2 falls with increased disorder and γ2 rises) andNER (i.e. NFL behaviour) emerges with the renormalised distribution, D(γ) biased to higher frequencies. The coincidenceof maximal NFL behaviour with optimal doping for superconductivity suggests such renormalised high frequency modes toplay a sensitive role.
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