Spin glasses with various ranges of interaction at low temperatures

Proykova, Y; Rivier, N.

doi:10.1088/0022-3719/14/13/008

Cited by 1 publication

(1 citation statement)

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“…The experiment sets up a time scale, and thus a lower cut-off d m in the distribution of tunnelling rates, or in the splitting of the two-level systems. This, in turn, implies that the specific heat is not truly linear, but extrapolates exponentially from C = 0 at T = 0 to a shifted, linear expression C = A(T -TB), 7B 1 > 0 [4,38] where kB T1 oc Am. The fact that the anomalous behaviour is absent in some glasses like amorphous Si [5] should be related to the size of the cut-off 4~, that is to the stiffness of the network, by comparison to vitreous silica Si02, say.…”

Section: Line Defects : Frozen Punctures or Mobile Vortices ? -mentioning

confidence: 99%

Line defects and tunnelling modes in glasses

Rivier

Duffy

1982

J. Phys. France

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A theory of glasses at low temperatures is presented. The structure of glasses contains topologically stable Z2 line defects - in continuous random networks, they are uninterrupted lines threading through odd-numbered rings of bonds - which are represented as punctures in an otherwise continuous space. The overall homogeneity (stationary random structure) of the glass is formulated as gauge invariance of a field theory in punctured space. The free energy is of Yang-Mills type, with both matter and gauge field parametrized by the rotation group SO(3). There are only two distinct ground state configurations (solutions of Euler-Lagrange equations) per line defect, related to each other by a gauge transformation. One configuration can therefore tunnel into the other, and yield the two-level systems responsible for the anomalous low temperature properties of glasses

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Section: Line Defects : Frozen Punctures or Mobile Vortices ? -mentioning

confidence: 99%