量子反铁磁相中由空位诱导的局部矩：一个SU(N)设计哈密顿量研究
Vacancy-induced local moments in quantum paramagnetic phases: An SU($N$) designer Hamiltonian study
AI总结：
该研究通过SU(N)设计哈密顿量探讨了空位对量子反铁磁相中局部矩的影响，发现低温下空位可诱导新兴自旋矩，但反铁磁液体中则不出现。
摘要：
我们探讨了非磁性杂质（空位散射）对由SU(N)设计哈密顿量在双分图晶格上稳定下来的量子反铁磁相的影响。利用我们量子蒙特卡洛模拟的结果，我们证明了当低温态具有价键固体序时，孤立空位在其附近会诱导出新兴的自旋S=1/2矩。确实，我们在这样的状态下低温磁化率的量子蒙特卡洛结果显示出与这些新兴矩相关的空位诱导的居里尾证据，而我们在价键基底上的零温度投影蒙特卡洛结果对地面态波函数提供了额外的证据支持这一观点。进一步地，对于在李贝晶格上具有每个正方形晶格键上有两个额外站点的设计哈密顿量，我们识别出一个低温类似反铁磁液体的相，该相没有自旋或价键序的迹象。这种液体相作为验证最近提出的关于此类低温状态下空位散射影响的论点的测试平台。与这一论点一致，我们发现孤立空位在这样的反铁磁液体中不会诱导出新兴的局部矩。相反，在存在空位散射的情况下，新兴的局部矩与相应稀释晶格的最大密度二元排列中的单体的存在有关。
英文摘要：
We explore the effects of non-magnetic impurities (vacancy disorder) on the quantum paramagnetic phases stabilized by SU($N$) designer Hamiltonians on bipartite lattices. Using the results of our quantum Monte Carlo simulations, we demonstrate that isolated vacancies seed emergent spin $S=1/2$ moments in their vicinity when the low-temperature state has valence bond solid order. Indeed, our quantum Monte Carlo results for the low-temperature susceptibility in such regimes shows clear evidence of the vacancy-induced Curie tails associated with these emergent moments, and our zero-temperature projector Monte Carlo results on the ground-state wavefunction in the valence bond basis provide additional evidence in support of this picture. Further, for such designer Hamiltonians on the Lieb lattice with two additional sites on each bond of a square lattice, we identify a low-temperature spin liquid-like regime with no sign of spin or valence bond order. This liquid-like regime serves as a test bed for validating a recently-developed argument concerning the effects of vacancy disorder in such low temperature regimes. Consistent with this argument, we find that isolated vacancies do not seed emergent local moments in such spin liquids. Instead, in the presence of vacancy disorder, emergent local moments are associated with the presence of monomers in maximum-density dimer packings of the corresponding diluted lattice.
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