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枫叶海森堡磁体中磁无序和有序的三重子分析

Triplon analysis of magnetic disorder and order in maple-leaf Heisenberg magnet.

作者信息

Ghosh Pratyay

机构信息

Institute of Physics, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland.

出版信息

J Phys Condens Matter. 2024 Aug 13;36(45). doi: 10.1088/1361-648X/ad69f4.

DOI:10.1088/1361-648X/ad69f4
PMID:39084649
Abstract

The nearest-neighbor spin-1/2 Heisenberg model on the maple-leaf lattice formed by hexagons (coupling), triangles (coupling), and dimers (coupling), is investigated in a parameter regime whereJh>0andJt,Jd<0. This investigation aims to identify regions hosting exotic valence-bond solid states. Two potential magnetically disordered ground states are identified, and their stability is assessed through plaquette-triplon mean-field analyses. The resulting quantum phase diagram reveals that at large|Jt|and|Jd|, the system adopts a magnetically disordered dimerized VBS state, while for small|Jd|, it stabilizes a Néel state. A second-order phase transition from the dimerized phase to a Néel phase is observed, which, being Landau-forbidden, suggests the potential presence of exotic phenomena such as a deconfined quantum critical point or the appearance of a quantum spin liquid. This work provides insights into the phase diagram of the nearest-neighbor spin-1/2 Heisenberg model on the maple-leaf lattice and lays the groundwork for further investigations into its intriguing physics.

摘要

研究了由六边形(耦合)、三角形(耦合)和二聚体(耦合)构成的枫叶晶格上的最近邻自旋 - 1/2海森堡模型,研究参数范围为(J_h>0)且(J_t)、(J_d<0)。这项研究旨在确定存在奇异价键固态的区域。确定了两种潜在的磁无序基态,并通过面元 - 三玻色子平均场分析评估了它们的稳定性。所得的量子相图表明,在(|J_t|)和(|J_d|)较大时,系统采用磁无序的二聚化价键固态,而在(|J_d|)较小时,系统稳定在奈尔态。观察到从二聚化相到奈尔相的二级相变,由于这是朗道禁戒的,这表明可能存在诸如解禁量子临界点或量子自旋液体出现等奇异现象。这项工作为枫叶晶格上最近邻自旋 - 1/2海森堡模型的相图提供了见解,并为进一步研究其有趣的物理性质奠定了基础。

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