论文标题

$ s = 1/2 $ pyrochlore heisenberg磁铁中可能的反演对称性破坏

Possible inversion symmetry breaking in the $S=1/2$ pyrochlore Heisenberg magnet

论文作者

Hagymási, Imre, Schäfer, Robin, Moessner, Roderich, Luitz, David J.

论文摘要

我们解决了长期且研究了三维量子旋转液体候选者的地面特性,$ s = \ frac 1 2 $ pyrochlore heisenberg antiferromagnet。通过使用$ su(2)$密度 - 马trix重新归一化组(DMRG),我们可以访问最多128次旋转的集群尺寸。我们最引人注目的发现是一种强大的自发反转对称性破坏,反映在四面体的两个sublattices之间的能量密度差上,这是早期扰动处理的起点。我们还通过将DMRG的外推与数值链接的群集扩展的那些来确定地面能量,$ e_0/n_ \ text {sites} = -0.490(6)J $。这些发现表明了一种情况,在这种情况下,在低温下,有限的温度自旋液体状态使对称性破裂状态取代。

We address the ground-state properties of the long-standing and much-studied three-dimensional quantum spin liquid candidate, the $S=\frac 1 2$ pyrochlore Heisenberg antiferromagnet. By using $SU(2)$ density-matrix renormalization group (DMRG), we are able to access cluster sizes of up to 128 spins. Our most striking finding is a robust spontaneous inversion symmetry breaking, reflected in an energy density difference between the two sublattices of tetrahedra, familiar as a starting point of earlier perturbative treatments. We also determine the ground-state energy, $E_0/N_\text{sites} = -0.490(6) J$, by combining extrapolations of DMRG with those of a numerical linked cluster expansion. These findings suggest a scenario in which a finite-temperature spin liquid regime gives way to a symmetry-broken state at low temperatures.

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