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cond-mat.stat-mech2025★ 2 cited
Rigorous lower bound of the dynamical critical exponent of the Ising model
Rintaro Masaoka, Tomohiro Soejima, Haruki Watanabe
We study the kinetic Ising model under Glauber dynamics and establish an upper bound on the spectral gap for finite systems. This bound implies the critical exponent inequality $z…
cond-mat.stat-mech2023★ 10 cited
Spontaneous breaking of U(1) symmetry at zero temperature in one dimension
Haruki Watanabe, Hosho Katsura, Jong Yeon Lee
The Hohenberg--Mermin--Wagner theorem states that there is no spontaneous breaking of continuous symmetries in spatial dimensions at finite temperature. At zero temperatur…