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A quantum correlation test of quantum criticality in transverse-field Ising chain with Dzyaloshinskii-Moriya interaction
Journal of Magnetism and Magnetic Materials ( IF 2.7 ) Pub Date : 2021-03-01 , DOI: 10.1016/j.jmmm.2020.167519
L.J. Ding

Abstract Usually, the zero temperature quantum critical point (QCP) induces a QC regime at low temperature due to the competition between quantum and thermal fluctuations, which is characterized by power-law temperature dependence of thermodynamics. Herein, focusing on the quantum phase transition (QPT) of transeverse-field Ising chain with Dzyaloshinskii-Moriya (DM) interaction, the quantum correlation exhibits temperature scaling. In the absence of magnetic field, the competition between DM interaction and Ising spin coupling manifested by θ angle, gives rise to different ground states such as Ising-type ferromagnetic (xFM), antiferromagnetic (xAFM) and Tomonaga-Luttinger liquid (TLL). As temperature emerges, the TLL phase is crossover into QC regimes with a crossover temperature connecting to a universal linear line T*∼|θ-θc1,2| that ends at θc1,2 upon cooling down to 0K, providing a new clue to capture QCP. Around QCP, the thermal QC scaling is demonstrated by analyzing quantum correlations and specific heat to extract the critical exponents (δ, β, γ and α) that fulfill the Widom and Essam-Fisher scaling laws, which is further verified by scaling hypothesis equations. As a magnetic field is turned on, an additional field-induced transverse ferromagnetic (zFM) phase with gapped low-lying excitation is unveiled. In particular, the Ising-like quantum criticality turns out to be gapless, which is different from the TLL-like one.

中文翻译:

具有 Dzyaloshinskii-Moriya 相互作用的横向场 Ising 链中量子临界性的量子相关性检验

摘要 通常,零温度量子临界点(QCP)由于量子涨落和热涨落之间的竞争而在低温下诱导出一个QC状态,其特征是热力学的幂律温度依赖性。在此,重点关注具有 Dzyaloshinskii-Moriya (DM) 相互作用的横向场 Ising 链的量子相变 (QPT),量子相关性表现出温度标度。在没有磁场的情况下,DM相互作用和以θ角表现的Ising自旋耦合之间的竞争产生了不同的基态,如Ising型铁磁(xFM)、反铁磁(xAFM)和Tomonaga-Luttinger液体(TLL)。随着温度的升高,TLL 阶段被交叉到 QC 状态,交叉温度连接到一条通用线性线 T*∼|θ-θc1,2| 冷却至 0K 后,在 θc1,2 处结束,为捕获 QCP 提供了新线索。在 QCP 周围,通过分析量子相关性和比热来提取满足 Widom 和 Essam-Fisher 标度定律的临界指数(δ、β、γ 和 α)来证明热 QC 标度,这通过标度假设方程进一步验证。当磁场被打开时,一个额外的场感应横向铁磁 (zFM) 相与间隙低位激发被揭开。特别是,Ising-like 量子临界性被证明是无间隙的,这与 TLL-like 不同。γ 和 α) 满足 Widom 和 Essam-Fisher 缩放定律,这通过缩放假设方程进一步验证。当磁场被打开时,一个额外的场感应横向铁磁 (zFM) 相与间隙低位激发被揭开。特别是,Ising-like 量子临界性被证明是无间隙的,这与 TLL-like 量子临界性不同。γ 和 α) 满足 Widom 和 Essam-Fisher 缩放定律,这通过缩放假设方程进一步验证。当磁场被打开时,一个额外的场感应横向铁磁 (zFM) 相与间隙低位激发被揭开。特别是,Ising-like 量子临界性被证明是无间隙的,这与 TLL-like 不同。
更新日期:2021-03-01
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