Mott Insulator-Density Ordered Superfluid Transition and “Shamrock Transition” in a Frustrated Triangle Lattice

Pub Date : 2024-01-08 DOI:10.1088/1572-9494/ad1bd9
Yu Chen, Ce Wang
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引用次数: 0

Abstract

Density order is usually a consequence of the competition between long-range and short-range interactions. Here we report a density ordered superfluid emergent from a homogeneous Mott insulator due to the competition between frustrations and local interactions. This transition is found in a Bose-Hubbard model on a frustrated triangle lattice with an extra pairing term. Further, we find a quantum phase transition between two different density ordered superfluids, which is beyond the Landau-Ginzburg(LG) paradigm. A U(1) symmetry is emergent at the critical point, while the symmetry in each density ordered superfluid is $Z_2\times Z_3$. We call the transition ``shamrock transition" due to its degenerate ground state in parameter space being a shamrock-like curve rather than a circle in LG-type transition. Effective low energy theories are established for the two transitions mentioned above and we find their resemblance and differences with clock models.
受挫三角晶格中的莫特绝缘体-密度有序超流体转移和 "三叶草转变
密度有序通常是长程和短程相互作用竞争的结果。在这里,我们报告了由于沮度和局部相互作用之间的竞争,从均质莫特绝缘体中产生的密度有序超流体。这种转变是在一个具有额外配对项的受挫三角形晶格上的玻色-哈伯德模型中发现的。此外,我们还发现了两种不同密度有序超流体之间的量子相变,这超越了朗道-金兹堡(LG)范式。在临界点出现了U(1)对称性,而每个密度有序超流体的对称性都是$Z_2\times Z_3$。我们称这种转变为 "香蒲转变",因为它在参数空间中的退化基态是一条类似香蒲的曲线,而不是 LG 型转变中的圆。我们为上述两种转变建立了有效的低能理论,并发现了它们与时钟模型的相似之处和不同之处。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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