116 citations · 589 across the 46 of their papers we have counts for
15 papers · 1 filter
Griffiths-type theorems for short-range spin glass models
Chigak Itoi, Hisamitsu Mukaida, Hal Tasaki
We establish relations between different characterizations of order in spin glass models. We first prove that the broadening of the replica overlap distribution indicated by a nonz…
Extended Series of Correlation Inequalities in Quantum Systems
Chigak Itoi, Hiroto Ishimori, Kota Sato +1
A systematic derivation provides extended series of correlation inequalities in quantum systems. Each order in truncated Taylor expansion of the spectral representation for the Duh…
Boundedness of Susceptibility in Spin Glass Transition of Transverse Field Mixed -spin Glass Models
Chigak Itoi, Yoshinori Sakamoto
Spontaneous symmetry breaking phenomena in the transverse field mixed -spin glass model in finite dimensions are studied with Nishimori's gauge theory. Useful identities in the…
Universality of replica-symmetry breaking in the transverse field Sherrington-Kirkpatrick model
C. Itoi, H. Ishimori, K. Sato +1
The existence theorem for replica-symmetry breaking (RSB) in the transverse field Sherrington-Kirkpatrick (SK) model is extended to the model with a general random exchange interac…
Expansion for quantum perturbations in random spin systems
C. Itoi, K. Horie, H. Shimajiri +1
Energy eigenstates in the random transverse field Edwards-Anderson (EA) model and the random bond quantum Heisenberg XYZ model in a -dimensional finite cubic lattice are obtaine…
Absence of replica symmetry breaking in the Edwards-Anderson model near zero temperature
C. Itoi, H. Shimajiri, Y. Sakamoto
It is proven that the ground state is unique in the Edwards-Anderson model for almost all continuous random exchange interactions, and any excited state with the overlap less than…