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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…
math-ph2021
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…