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Power-Law Spin Correlations in a Perturbed Spin Model on a Honeycomb Lattice

Tikhonov, K. S. and Feigel’man, M. V. and Kitaev, A. Yu. (2011) Power-Law Spin Correlations in a Perturbed Spin Model on a Honeycomb Lattice. Physical Review Letters, 106 (6). Art. No. 067203. ISSN 0031-9007. doi:10.1103/PhysRevLett.106.067203.

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We consider the spin- 12 model on the honeycomb lattice in the presence of a weak magnetic field h_α ≪ 1. Such a perturbation destroys the exact integrability of the model in terms of gapless fermions and static Z_2 fluxes. We show that it results in the appearance of a long-range tail in the irreducible dynamic spin correlation function: ≪s^z(t,r)s^z(0,0)≫ α h^2_z f(tr), where f(t,r) α [max(t,r]^(-4) is proportional to the density polarization function of fermions.

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Additional Information:© 2011 American Physical Society. Received 12 September 2010; revised 3 January 2011; published 11 February 2011. We are grateful to L. B. Ioffe and A. S. Ioselevich for useful discussions. This research was supported by the RFBR Grant No. 10-02-00554.
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Russian Foundation for Basic Research (RFBR)10-02-00554
Issue or Number:6
Classification Code:PACS: 75.10.Jm
Record Number:CaltechAUTHORS:20110316-161521086
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:22949
Deposited By: Benjamin Perez
Deposited On:16 Mar 2011 23:38
Last Modified:09 Nov 2021 16:09

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