activity
19962024
most citedDimensional reduction and its breakdown in the 3-dimensional long-range random field Ising model

15 citations · 65 across the 19 of their papers we have counts for

collaborators

19 papers

math-ph2024★ 1 cited

Gauge theory for quantum XYZ spin glasses

C. Itoi, Y. Sakamoto

Nishimori's gauge theory is extended to the quantum XYZ -spin glass model in finite dimensions. This enables us to obtain useful correlation equalities, which show also that Duh…

math-ph2023

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…

math-ph2023★ 4 cited

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…

math-ph2023★ 3 cited

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…

math-ph2022★ 3 cited

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…

math-ph2021

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…