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https://ah.lib.nccu.edu.tw/handle/140.119/116779| 題名: | 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 |
貢獻者: | 林瑜琤 Lin, Yu Cheng 張鎮宇 Chang, Chen Yu |
關鍵詞: | 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 | 上傳時間: | 9-Apr-2018 | 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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資料來源: | http://thesis.lib.nccu.edu.tw/record/#G0102755004 | 資料類型: | thesis |
| Appears in Collections: | 學位論文 |
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