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arXiv 2111.00536cond-mat.str-elcond-mat.stat-mech
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具有Dzyaloshinskiii-Moriya相互作用的量子伊辛模型中反常Grüneisen比的解析结果

Analytical results for the unusual Grüneisen ratio in the quantum Ising model with Dzyaloshinskii-Moriya interaction

Qiang Luo

摘要:

格吕奈森比(GR)已经成为诊断量子相变的极好工具,它在接近连续相变的临界点时代数地发散。然而,这种范式最近受到了挑战的观察有限GR的自对偶临界性和发散GR的增强的一阶跃。为了进一步揭示这个迷人的GR,我们通过研究一个具有Dzyaloshinskiii-Moriya相互作用的完全可解的量子伊辛模型来验证这个想法,该模型包含一个铁磁相,一个顺磁相和一个手性Luttinger液体。虽然铁磁-顺磁过渡的自对偶临界性被破坏的Dzyaloshinskiii-Moriya相互作用,我们发现,在过渡的GR仍然是有限的,虽然与增加的值,标志着一个接近的自对偶关系。相比之下,在有间隙的铁磁相和无间隙的Luttinger液体之间的过渡的GR发散,并改变其符号时,跨越一级过渡。这意味着GR也可以探测带隙相和无隙相之间的一级相变。

英文摘要:

The Grüneisen ratio (GR) has emerged as a superb tool for the diagnosis of quantum phase transitions, which diverges algebraically upon approaching critical points of continuous phase transitions. However, this paradigm has been challenged recently by observations of a finite GR for self-dual criticality and divergent GR at symmetry-enhanced first-order transitions. To unveil the fascinating GR further, we exemplify the idea by studying an exactly solvable quantum Ising model with Dzyaloshinskii-Moriya interaction, which harbors a ferromagnetic phase, a paramagnetic phase, and a chiral Luttinger liquid. Although the self-dual criticality of the ferromagnetic--paramagnetic transition is undermined by the Dzyaloshinskii-Moriya interaction, we find that the GR at the transition is still finite albeit with an increasing value, signifying a proximate self-dual relation. By contrast, the GR at the transition between the gapped ferromagnetic phase and the gapless Luttinger liquid diverges and changes its sign when crossing the first-order transition. This implies that the GR could also probe the first-order transition between the gapped and gapless phases.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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