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Dimensional modulation of spontaneous magnetic order in quasi-two-dimensional quantum antiferromagnets

Furuya, Shunsuke C.
Dupont, Maxime
Capponi, Sylvain
Laflorencie, Nicolas
Published in Physical Review. B, Condensed Matter. 2016, vol. 94, no. 14, p. 144403
Abstract Spontaneous symmetry breaking is deeply related to the dimensionality of a system. The Ne ́el order going with spontaneous breaking of U(1) symmetry is safely allowed at any temperature for three-dimensional systems but allowed only at zero temperature for purely two-dimensional systems. We closely investigate how smoothly the ordering process of the three-dimensional system is modulated into that of the two-dimensional one with reduction of dimensionality, considering spatially anisotropic quantum antiferromagnets. We first show that the Ne ́el temperature is kept finite even in the two-dimensional limit although the Ne ́el order is greatly suppressed for low dimensionality. This feature of the Ne ́el temperature is highly nontrivial, which dictates how the order parameter is squashed under the reduction of dimensionality. Next, we investigate this dimensional modulation of the order parameter. We develop our argument taking as an example a coupled spin-ladder system relevant for experimental studies. The ordering process is investigated multidirectionally using theoretical techniques of a mean-field method combined with analytical (exact solutions of quantum field theories) or numerical (density-matrix renormalization-group) methods, a variational method, a renormalization-group study, linear spin-wave theory, and quantum Monte Carlo simulations. We show that these methods independent of each other lead to the same conclusion about the dimensional modulation.
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Research group Groupe Giamarchi
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FURUYA, Shunsuke C. et al. Dimensional modulation of spontaneous magnetic order in quasi-two-dimensional quantum antiferromagnets. In: Physical Review. B, Condensed Matter, 2016, vol. 94, n° 14, p. 144403. https://archive-ouverte.unige.ch/unige:92625

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Deposited on : 2017-03-15

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