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政大典藏 > College of Science > Graduate Institute of Applied Physics > NSC Projects > Item 140.119/109768

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/109768

Title:	無序關聯性系統的大規模計算模擬
Authors:	林瑜琤
Contributors:	應物所
Keywords:	無序系統;無序單態基態;關聯函數;玻璃態 disordered systems;random-singlet ground state;correlation functions;glassy phase
Date:	2016
Issue Date:	2017-05-18 09:51:45 (UTC+8)
Abstract:	在多自旋耦合極強極限下，均質J-Q鏈的基態將自發轉變成一價鍵固態。我們設計一針對J-Q鏈的強無序重整化群法(SDRG)用以探討耦合無序對自發性價鍵固態的影響。我們的結果顯示無序價鍵固態裂成交錯的二聚區間，成無晶形的價鍵固態，激發旋子位於疇壁。這無晶形價鍵固態與無序海森堡鏈的基態同為所謂的無序單態相態。 The ground state of a J-Q chain in the absence of disorder and in the limit of strong multi-spin (Q) couplings is a valence-bond solid (VBS) with spontaneous dimerization. We introduce a strong-disorder renormalization group (SDRG) scheme to study the effect of quenched bond randomness on J-Q chains. Our results show that the random VBS state breaks into alternating dimerized domains with singlets formed between spinons localized at domain walls. This amorphous valence-bond solid at long distances is asymptotically a random-singlet state, similar to the ground state of the random Heisenberg chain.
Relation:	MOST 104-2112-M-004-002
Data Type:	report
Appears in Collections:	[Graduate Institute of Applied Physics] NSC Projects

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