2017
DOI: 10.1103/physrevb.96.134404
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Dimerization in ultracold spinor gases with Zeeman splitting

Abstract: Two recent publications report different boundaries for the dimerized phase of the bilinear-biquadratic spin-1 Heisenberg model with quadratic Zeeman effect. We address these discrepancies for the biquadratic model with quadratic Zeeman term and explain the differences. Based on our numerical results the phase boundaries of the dimerized phase are determined.Comment: 5 pages, 5 figure

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Cited by 3 publications
(1 citation statement)
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“…Mathematically, a full description of a large spin (≥ 1) involves not only rank-1 spin-vectors, but also high-rank spin-tensors, therefore it is expected that the resulting quantum magnetism may possess both spin-vector and tensor orders. So far, spin-vector magnetism of a strongly correlated spin-1 chain has been extensively studied, where the competition between spin interaction and Zeeman field (either uniform or spiral along the chain) leads to rich phase diagrams [34][35][36][37][38][39][40]. Certain nematic magnetic orders of spin-tensors (with vanishing spin-vector) have been investigated in 2D geometrically frustrated (e.g., triangle) lattices [41][42][43][44][45][46][47][48][49].…”
mentioning
confidence: 99%
“…Mathematically, a full description of a large spin (≥ 1) involves not only rank-1 spin-vectors, but also high-rank spin-tensors, therefore it is expected that the resulting quantum magnetism may possess both spin-vector and tensor orders. So far, spin-vector magnetism of a strongly correlated spin-1 chain has been extensively studied, where the competition between spin interaction and Zeeman field (either uniform or spiral along the chain) leads to rich phase diagrams [34][35][36][37][38][39][40]. Certain nematic magnetic orders of spin-tensors (with vanishing spin-vector) have been investigated in 2D geometrically frustrated (e.g., triangle) lattices [41][42][43][44][45][46][47][48][49].…”
mentioning
confidence: 99%