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JETP Letters

, Volume 103, Issue 2, pp 117–121 | Cite as

Long-range spin correlations in a honeycomb spin model with a magnetic field

  • A. V. Lunkin
  • K. S. Tikhonov
  • M. V. Feigel’man
Condensed Matter

Abstract

We consider the spin-1/2 model on the honeycomb lattice [A. Kitaev, Ann. Phys. 321, 2 (2006)] in the presence of a weak magnetic field h αJ. Such a perturbation treated in the lowest nonvanishing order over h α leads [K.S. Tikhonov, M.V. Feigel’man, and A.Yu. Kitaev, Phys. Rev. Lett. 106, 067203 (2011)] to a powerlaw decay of irreducible spin correlations 《s z (t, r)s z (0, 0)》 ∝ h z 2 f(t, r), where f(t, r) ∝ [max(t, Jr)]–4. We have studied the effects of the next order of perturbation in h z and found an additional term of the order h z 4 in the correlation function 《s z (t, r)s z (0, 0)》 which scales as h z 4 cosγ/r 3 at Jtr, where γ is the polar angle in the 2D plane. We demonstrate that such a contribution can be understood as a result of a perturbation of the effective Majorana Hamiltonian by the weak imaginary vector potential A x i h z 2 .

Keywords

JETP Letter Spin Operator Spin Correlation Weak Magnetic Field Honeycomb Lattice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Pleiades Publishing, Inc. 2016

Authors and Affiliations

  • A. V. Lunkin
    • 1
    • 2
  • K. S. Tikhonov
    • 1
    • 2
  • M. V. Feigel’man
    • 1
    • 2
  1. 1.Landau Institute for Theoretical PhysicsRussian Academy of SciencesMoscowRussia
  2. 2.Moscow Institute of Physics and Technology (State University)Dolgoprudnyi, Moscow regionRussia

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