Volume 41, Number 5, March I 1998
|Page(s)||525 - 530|
|Section||Condensed matter: electronic structure, electrical, magnetic and optical properties|
|Published online||01 September 2002|
Low-energy excitations in fermionic spin glasses: A quantum-dynamical image of Parisi symmetry breaking
Service de physique théorique, CE Saclay,
F-1191 Gif-sur-Yvette, France
2 Institut für Theoretische Physik, Universität Würzburg, D-97074 Würzburg, Germany
3 MPI für Kernphysik, D-69029 Heidelberg, Germany
Accepted: 18 January 1998
We report large effects of Parisi replica permutation symmetry breaking (RPSB) on elementary excitations of fermionic systems with frustrated magnetic interactions. The electronic density of states is obtained exactly in the zero-temperature limit for (K=1)-step RPSB together with exact relations for arbitrary breaking K, which lead to a new fermionic and dynamical Parisi solution at . The Ward identity for charge conservation indicates RPSB effects on the conductivity in metallic quantum spin glasses. This implies that RPSB is essential for any fermionic system showing spin glass sections within its phase diagram. An astonishing similarity with a neural network problem is also observed.
PACS: 71.20-b – Electron density of states and band structure of crystalline solids / 71.55.Jv – Disordered structures; amorphous and glassy solids / 75.10.Nr – Spin glass and other random models
© EDP Sciences, 1998
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