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4 papers · 2 filters
Decay of Superconducting and Magnetic Correlations in One- and Two-Dimensional Hubbard Models
Tohru Koma, Hal Tasaki
In a general class of one and two dimensional Hubbard models, we prove upper bounds for the two-point correlation functions at finite temperatures for electrons, for electron pairs…
Symmetry Breaking and Finite Size Effects in Quantum Many-Body Systems
Tohru Koma, Hal Tasaki
We consider a quantum many-body system on a lattice with a continuous symmetry which exhibits a spontaneous symmetry breaking in its infinite volume ground states, but in which the…
Classical XY Model in 1.99 Dimensions
Tohru Koma, Hal Tasaki
We consider the classical XY model (O(2) nonlinear sigma-model) on a class of lattices with the (fractal) dimensions 1<D<2. The Berezinskii's harmonic approximation suggests that t…
From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example
Hal Tasaki
Derivation of the canonical (or Boltzmann) distribution based only on quantum dynamics is discussed. Consider a closed system which consists of mutually interacting subsystem and h…