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 …

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 …

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 …

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 …

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 …

We study a quantum spin glass as a quantum spin system with random interactions and
establish the existence of a family of evolution groups {τ t (ω)} ω∈/Ω of the spin system. The …

Abstract The Imry–Ma phenomenon, predicted in 1975 by Imry and Ma and rigorously
established in 1989 by Aizenman and Wehr, states that first-order phase transitions of low …

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 …

We present a proof of the central limit theorem for a pair of mutually non-commuting
operators in mixing quantum spin chains. The operators are not necessarily strictly local but …

A continuous bundle of C∗-algebras provides a rigorous framework to study the
thermodynamic limit of quantum theories. If the bundle admits the additional structure of a …