Zohar Nussinov

A thermodynamic theory of supercooled liquids

A novel thermodynamic theory of the properties of supercooled liquids as they get glassy is presented. It is based on the postulated existence of a narrowly avoided thermodynamic phase transition at a temperature T∗ ⩾ Tm, where Tm is the melting point, and the “avoidance” is due to geometric frustration. We show that as a consequence two large emergent length scales develop at temperatures less than T∗, and we also show that this picture is consistent with appropriate statistical mechanical models. A theoretical expression is obtained which permits collapse of the viscosity versus temperature of all known glass-formers onto a single master-curve.

Singular or non-Fermi liquids

Abstract An introductory survey of the theoretical ideas and calculations and the experimental results which depart from Landau Fermi liquids is presented. The common themes and possible routes to the singularities leading to the breakdown of Landau Fermi liquids are categorized following an elementary discussion of the theory. Soluble examples of singular or non-Fermi liquids include models of impurities in metals with special symmetries and one-dimensional interacting fermions. A review of these is followed by a discussion of singular Fermi liquids in a wide variety of experimental situations and theoretical models. These include the effects of low-energy collective fluctuations, gauge fields due either to symmetries in the Hamiltonian or possible dynamically generated symmetries, fluctuations around quantum critical points, the normal state of high-temperature superconductors and the two-dimensional metallic state. For the last three systems, the principal experimental results are summarized and the outstanding theoretical issues are highlighted.

Connectivity of icosahedral network and a dramatically growing static length scale in Cu-Zr binary metallic glasses

We report on and characterize, via molecular dynamics studies, the evolution of the structure of Cu

Novel Dielectric Anomaly in the Hole-Doped La2Cu1 xLixO4 and La2 xSrxNiO4 Insulators: Signature of an Electronic Glassy State

{}_{50}

Origin of the decrease in the torsional-oscillator period of solid He 4

Zr

The geometric order of stripes and Luttinger liquids

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A Novel Dielectric Anomaly in Cuprates and Nickelates: Signature of an Electronic Glassy State

and Cu

Avoided critical behavior in a uniformly frustrated system

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Autocorrelations and thermal fragility of anyonic loops in topologically quantum ordered systems

Zr

Exact results of the Kitaev model on a hexagonal lattice: spin states, string and brane correlators, and anyonic excitations

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