3 citations · 3 across the 4 of their papers we have counts for
4 papers
Self-averaging of replica overlaps in the random field Edwards-Anderson model
C. Itoi, Y. Sakamoto
The self-averaging of the replica overlap is proven in the Edwards-Anderson (EA) model under random field almost everywhere in the coupling constant space in any dimension. The EA…
Interpolations for a quantum Parisi formula in transverse field mean-field spin glass models
C. Itoi, K. Fujiwara, Y. Sakamoto
A quantum Parisi formula for the transverse field Sherrington-Kirkpatrick (SK) model is proven with an elementary mathematical method. First, a self-overlap corrected quantum model…
Existence of de Almeida-Thouless-type instability in the transverse field Sherrington-Kirkpatrick model
C. Itoi, K. Fujiwara, Y. Sakamoto
The interpolation method for mean field spin glass models developed by Guerra and Talagrand is extended to a quantum mean field spin glass model. This extension enables us to obtai…
Gauge theory for mixed -spin glasses
C. Itoi, Y. Sakamoto
Physical quantities in the mixed -spin glasses are evaluated with Nishimori's gauge theory and several variance inequalities. The -symmetry breaking and the replica…