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      Color ice states, weathervane modes, and order by disorder in the bilinear-biquadratic pyrochlore Heisenberg antiferromagnet

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          Abstract

          We study the pyrochlore Heisenberg antiferromagnet with additional positive biquadratic interaction in the semiclassical limit. The classical ground state manifold of the model contains an extensively large family of non-coplanar spin states known as "color ice states". Starting from a color ice state, a subset of spins may rotate collectively at no energy cost. Such excitation may be viewed in this three-dimensional system as a "membrane-like" analog of the well-known weathervane modes in the classical kagome Heisenberg antiferromagnet. We investigate the weathervane modes in detail and elucidate their physical properties. Furthermore, we study the order by disorder phenomenon in this model, focusing on the role of harmonic fluctuations. Our computationally-limited phase space search suggests that quantum fluctuations select three different states as the magnitude of the biquadratic interaction increases relative to the bilinear interaction, implying a sequence of phase transitions solely driven by fluctuations.

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          Author and article information

          Journal
          2016-07-07
          2016-08-29
          Article
          1607.02185
          3ecad896-3794-4b6a-8312-57e26eac7148

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          14 pages, 9 figures. New results included. Phase diagram discussion streamlined
          cond-mat.str-el cond-mat.stat-mech

          Condensed matter
          Condensed matter

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