Classical and quantum phases of the <i>J</i><sub>1</sub>-<i>J</i><sub>2</sub>-<i>J</i><sub>3</sub> Heisenberg model on the body centered cubic lattice

ORAL

Abstract

We present the global phase diagram of the Heisenberg model on the body-centered cubic (BCC) lattice with nearest-neighbor J1, second nearest-neighbor J2 and third nearest-neighbor J3 exchange couplings, for both antiferromagnetic and ferromagnetic J1, J2, and J3. The classical phase diagram is shown to host four commensurate magnetic orders [ferromagnet q=(0,0,0), Néel antiferromagnet q=(2π,0,0), q=(π,π,0), and q=(π,π,π)], and three incommensurate helimagnetic orders, namely, a one-, two- and three-dimensional spiral. The corresponding quantum spin-1/2 model is investigated employing the pseudofermion functional renormalization group (PFFRG) method. It is shown that quantum fluctuations (i) stabilize a quantum spin liquid phase over an appreciable region in parameter space centered around tri-critical points, (ii) strongly renormalize the phase boundaries (compared to those of the classical model), (iii) shift the pitch vector of the helimagnetic orders. We obtain the critical ordering temperatures for the S=1/2 model from Quantum Monte Carlo in the unfrustrated parameter regime, and compare it with the estimates obtained from one- and two-loop PFFRG. In the frustrated regime of the model, we compare our estimates with results available from other methods.

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Presenters

  • Yasir Iqbal

    • Indian Institute of Technology Madras
    • Department of Physics, Indian Institute of Technology Madras

Authors

  • Pratyay Ghosh

    • Indian Institute of Technology Madras

  • Tobias Müller

    • Institute for Theoretical Physics and Astrophysics, University of Wuerzburg
    • Institute for Theoretical Physics and Astrophysics, University of Würzburg

  • Marlon Rück

    • Technische Universität Munich

  • Francesco Parisen Toldin

    • Institut für Theoretische Physik und Astrophysik, Universität Würzburg
    • Institute for Theoretical Physics and Astrophysics, University of Würzburg

  • Rajesh Narayanan

    • Indian Institute of Technology Madras

  • Ronny Thomale

    • Institute for Theoretical Physics and Astrophysics, University of Wuerzburg
    • University of Wurzburg
    • Institute for theoretical physics, University of Wuerzburg
    • Institute for Theoretical Physics and Astrophysics, University Wuerzburg
    • Institut für Theoretische Physik und Astrophysik, Julius-Maximilians-Universität Würzburg
    • Univ of Wuerzburg
    • Institute for Theoretical Physics and Astrophysics, University of Würzburg
    • Institute for Theoretical Physics, University of Wuerzburg
    • Univ of Wurzburg

  • Johannes Reuther

    • Dahlem Center for Complex Quantum Systems, Freie Universitat Berlin
    • Physics Department, Freie Universitaet Berlin
    • Physics, Freie Universität Berlin

  • Yasir Iqbal

    • Indian Institute of Technology Madras
    • Department of Physics, Indian Institute of Technology Madras