Domain Wall Dynamics near a Quantum Critical Point

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We study the real-time domain-wall dynamics near a quantum critical point of the one-dimensional anisotropic ferromagnetic spin 1/2 chain. By numerical simulation, we find the domain wall is dynamically stable in the Heisenberg-Ising model. Near the quantum critical point, the width of the domain wall diverges as $(Δ-1) ^{-1/2}$.
to appear in Phys. Rev. B

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