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19952025
most citedSpectral Gap and Exponential Decay of Correlations

585 citations · 1.1k across the 46 of their papers we have counts for

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6 papers · 1 filter

cond-mat.stat-mech2019★ 24 cited

Proof of the absence of long-range temporal orders in Gibbs states

Haruki Watanabe, Masaki Oshikawa, Tohru Koma

We address the question whether time translation symmetry can be spontaneously broken in a quantum many-body system. One way of detecting such a symmetry breaking is to examine the…

cond-mat.stat-mech1998

Scattering of Conduction Electrons by a Ferromagnetic Domain Wall

Masanori Yamanaka, Tohru Koma

We study the scattering of an electron by a ferromagnetic domain wall of the quantum Heisenberg-Ising model (XXZ model) with certain boundary conditions. The spin of the electron i…

cond-mat.stat-mech1997★ 76 cited

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…

cond-mat.stat-mech1997★ 1 cited

The complete set of ground states of the ferromagnetic XXZ chains

Tohru Koma, Bruno Nachtergaele

We show that the well-known translation invariant ground states and the recently discovered kink and antikink ground states are the complete set of pure infinite-volume ground stat…

cond-mat.stat-mech1997★ 88 cited

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…

cond-mat.stat-mech1997★ 19 cited

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…