Classical and quantum phases of the pyrochlore $S=1/2$ magnet with Heisenberg and Dzyaloshinskii-Moriya interactions

• DOI: 10.48550/arxiv.2211.08823
• Publication Date: 2022-01-01
• Authors: Vincent Noculak; Daniel Lozano‐Gómez; J. Oitmaa; Rajiv R. P. Singh; Yasir Iqbal; Michel J. P. Gingras; Johannes Reuther
• Keywords: Strongly Correlated Electrons (cond-mat.str-el); 500 Naturwissenschaften und Mathematik::530 Physik::539 Moderne Physik; Frustrated magnetism; FOS: Physical sciences; Monte Carlo methods; 01 natural sciences; Pyrochlores; Quantum spin models; Condensed Matter - Strongly Correlated Electrons; Linear spin wave theory; 539; 0103 physical sciences; quantum spin model ; pyrochlores ; linear spin wave theory; Functional renormalization group

We investigate the ground state and critical temperature phase diagrams of classical quantum $S=1/2$ pyrochlore lattice with nearest-neighbor Heisenberg Dzyaloshinskii-Moriya interactions (DMI). consider ferromagnetic antiferromagnetic exchange as well direct indirect DMI. Classically, three states are found: all-in/all-out, a locally ordered $XY$ phase, known $Γ_5$, which displays an accidental U(1) degeneracy. Quantum zero-point energy fluctuations found to lift degeneracy select $ψ_3$ in most parts $Γ_5$ regime. Likewise, thermal treated classically, at $T=0^+$. In contrast, Monte Carlo finds that system orders $T_c$ $ψ_2$ for DMI transition from $T_{Γ_5}