政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/116779

政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/116779

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题名:	三角晶格易辛反鐵磁之量子相變 Quantum phase transition in the triangular lattice Ising antiferromagnet
作者:	張鎮宇 Chang, Chen Yu
贡献者:	林瑜琤 Lin, Yu Cheng 張鎮宇 Chang, Chen Yu
关键词:	挫折性反鐵磁零溫投射蒙地卡羅演算法隨機序列展開演算法絕熱量子模擬模擬退火動力學指數 Frustrated antiferromagnet Zero-temperature projector algorithm Stochastic series expansion Adiabatic quantum simulation Simulated annealing Dynamical exponent
日期:	2017
上传时间:	2018-04-09 15:51:34 (UTC+8)
摘要:	量子擾動及挫折性兩者均可破壞絕對零溫的磁序，為近代凝態物理關注的有趣現象。在外加橫場下的三角晶格易辛反鐵磁兼具量子臨界現象(quantum criticality)及幾何挫折性，可謂量子磁性物質之一典範理論模型。本論文利用平衡態及非平衡態量子蒙地卡羅(quantum Monte Carlo)方法探測三角晶格易辛反鐵磁之量子相變，其界定零溫時無磁性的順磁態及具 Z6 對稱破缺的有序態(所謂時鐘態)。這裡的量子蒙地卡羅方法為運用算符的零溫投射(zero-temperature projector) 及隨機序列展開(stochastic series expansion)演算法。在非平衡模擬中，我們分別沿降溫過程及量子絕熱過程逼近量子相變點，藉此我們得到動力學指數，及其它相關臨界指數。 The destruction of magnetic long-range order at absolute zero temperature arising from quantum fluctuations and frustration is an interesting theme in modern condensed-matter physics. The triangular lattice Ising antiferromag- net in a transverse field provides a playground for the study of the combined effects of quantum criticality and geometrical frustration. In this thesis we use quantum Monte Carlo methods both in equilibrium and non-equilibrium setups to study the properties of the quantum critical point in the triangular lattice antiferromagnet, which separates a disordered paramagnetic state and an ordered clock state exhibiting Z6 symmetry breaking; The methods are based on a zero-temperature projector algorithm and the stochastic series ex- pansion algorithm. For the non-equilibrium setups, we obtain the dynamical exponent and other critical exponents at the quantum critical point approached by slowly decreasing temperature and through quantum annealing.
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描述:	碩士國立政治大學應用物理研究所 102755004
資料來源:	http://thesis.lib.nccu.edu.tw/record/#G0102755004
数据类型:	thesis
显示于类别:	[應用物理研究所 ] 學位論文

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