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Nature of finite-temperature transition in anisotropic pyrochlore Er2Ti2O7

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arxiv 1402.4689 v2 pith:WVSV6WED submitted 2014-02-19 cond-mat.str-el cond-mat.stat-mech

Nature of finite-temperature transition in anisotropic pyrochlore Er2Ti2O7

classification cond-mat.str-el cond-mat.stat-mech
keywords pyrochlorecarlocriticaler2ti2o7finite-temperaturefluctuationsmagneticmonte
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the finite-temperature transition in a model XY antiferromagnet on a pyrochlore lattice, which describes the pyrochlore material Er2Ti2O7. The ordered magnetic structure selected by thermal fluctuations is six-fold degenerate. Nevertheless, our classical Monte Carlo simulations show that the critical behavior corresponds to the three-dimensional XY universality class. We determine an additional critical exponent nu_6=0.75>nu characteristic of a dangerously irrelevant scaling variable. Persistent thermal fluctuations in the ordered phase are revealed in Monte Carlo simulations by the peculiar coexistence of Bragg peaks and diffuse magnetic scattering, the feature also observed in neutron diffraction experiments.

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  1. Supersymmetric quantum criticality with discrete symmetry

    cond-mat.str-el 2026-05 unverdicted novelty 6.0

    FRG analysis of Z_n-anisotropic Gross-Neveu-Yukawa theories shows irrelevant anisotropy for n>3 yielding N=2 supersymmetric criticality and a second length scale whose exponent satisfies ν'/ν = 1 + |y_n|/2.