Some topics in quantum disordered systems

SD Barreto, F Fidaleo - arXiv preprint math/0501121, 2005 - arxiv.org
We discuss some recent results connected with the properties of temperature states of
quantum disordered systems. This analysis falls within the natural framework of operator …

On the structure of KMS states of disordered systems

SD Barreto, F Fidaleo - Communications in mathematical physics, 2004 - Springer
We study the set of KMS states of spin systems with random interactions. This is done in the
framework of operator algebras by investigating Connes and Borchers Γ–invariants of W …

KMS states and the chemical potential for disordered systems

F Fidaleo - Communications in mathematical physics, 2006 - Springer
We extend the theory of the chemical potential associated to a compact separable gauge
group, to the case of disordered quantum systems. This is done in the framework of operator …

Disordered Fermions on lattices and their spectral properties

SD Barreto, F Fidaleo - Journal of Statistical Physics, 2011 - Springer
We study Fermionic systems on a lattice with random interactions through their dynamics
and the associated KMS states. These systems require a more complex approach compared …

Metastates, translation ergodicity, and simplicity of thermodynamic states in disordered systems: An illustration

CM Newman, DL Stein - New Trends in Mathematical Physics: Selected …, 2009 - Springer
In the context of short-range Edwards-Anderson spin glasses, we propose an approach to
obtaining rigorous results based on combining the use of metastates, translation-ergodicity …

General properties of overlap operators in disordered quantum spin systems

C Itoi - Journal of Statistical Physics, 2016 - Springer
General Properties of Overlap Operators in Disordered Quantum Spin Systems | Journal of
Statistical Physics Skip to main content SpringerLink Account Menu Find a journal Publish with …

A duality principle in spin glasses

A Auffinger, WK Chen - 2017 - projecteuclid.org
We prove a duality principle that connects the thermodynamic limits of the free energies of
the Hamiltonians and their squared interactions. Under the main assumption that the limiting …

Thermodynamics and universality for mean field quantum spin glasses

N Crawford - Communications in mathematical physics, 2007 - Springer
Thermodynamics and Universality for Mean Field Quantum Spin Glasses Page 1 Digital Object
Identifier (DOI) 10.1007/s00220-007-0263-x Commun. Math. Phys. 274, 821–839 (2007) …

Statistical properties of disordered quantum systems

F Fidaleo, C Liverani - Recent Advances in Operator Theory, Operator …, 2005 - Springer
Statistical Properties of Disordered Quantum Systems Page 1 Operator Theory: Advances and
Applications, Vol. 153, 123–141 c 2004 Birkhäuser Verlag Basel/Switzerland Statistical …

Exotic states in long-range spin glasses

A Gandolfi, CM Newman, DL Stein - Communications in mathematical …, 1993 - Springer
We consider Ising spin glasses on Z d with couplings J xy= cy− x Z xy, where the cy's are
nonrandom real coefficients and the Z xy's are independent, identically distributed random …