Quantum criticality of dipolar spin chains

Details Quantum criticality of dipolar spin chains Quantum criticality of dipolar spin chains

2011-08-30

arxiv.org/abs/1108.6064v3

Phys. Rev. B 84, 184417 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 5 figures

Scientific paper

10.1103/PhysRevB.84.184417

We show that a chain of Heisenberg spins interacting with long-range dipolar forces in a magnetic field h perpendicular to the chain exhibits a quantum critical point belonging to the two-dimensional Ising universality class. Within linear spin-wave theory the magnon dispersion for small momenta k is [Delta^2 + v_k^2 k^2]^{1/2}, where Delta^2 \propto |h - h_c| and v_k^2 \propto |ln k|. For fields close to h_c linear spin-wave theory breaks down and we investigate the system using density-matrix and functional renormalization group methods. The Ginzburg regime where non-Gaussian fluctuations are important is found to be rather narrow on the ordered side of the transition, and very broad on the disordered side.

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