论文标题

双极 - 八极极pyrochlores的基态相图

Ground state phase diagram of dipolar-octupolar pyrochlores

论文作者

Benton, Owen

论文摘要

偶性 - 八度Pyrochlore氧化物R $ _2 $ M $ _2 $ o $ _7 $(R = CE,SM,ND)代表了寻找三维量子旋转液体(QSL)地面状态的重要机会。它们的低能物理学受诱人的简单XYZ Hamiltonian的控制,仅具有少数免费参数的理论描述。同时,最近对Pyrochlores的实验强烈建议QSL物理学。在此激励的情况下,我们在这里介绍了对偶极 - 圆孔pyrochlores的基态相图的完整分析。结合群集平均场理论,变分参数和精确的对角线化,我们发现了多个U(1)QSL阶段,它们共同占据了很大一部分参数空间。这些结果给出了重要类别的QSL候选者的基态物理,并支持$ u(1)$ QSL基态在CE $ _2 $ _2 $ _2 $ zr $ _2 $ _7 $ _7 $和CE $ _2 $ _2 $ sn $ sn $ sn $ _2 $ o $ o $ $ _7 $。

The dipolar-octupolar pyrochlore oxides R$_2$M$_2$O$_7$ (R=Ce, Sm, Nd) represent an important opportunity in the search for three dimensional Quantum Spin Liquid (QSL) ground states. Their low energy physics is governed by an alluringly simple XYZ Hamiltonian, enabling theoretical description with only a small number of free parameters. Meanwhile, recent experiments on Ce pyrochlores strongly suggest QSL physics. Motivated by this, we present here a complete analysis of the ground state phase diagram of dipolar-octupolar pyrochlores. Combining cluster mean field theory, variational arguments and exact diagonalization we find multiple U(1) QSL phases which together occupy a large fraction of the parameter space. These results give a comprehensive picture of the ground state physics of an important class of QSL candidates and support the possibility of a $U(1)$ QSL ground state in Ce$_2$Zr$_2$O$_7$ and Ce$_2$Sn$_2$O$_7$.

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