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題名 無序關聯性系統的大規模計算模擬
作者 林瑜琤
貢獻者 應物所
關鍵詞 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
日期 2016
上傳時間 18-May-2017 09:51:45 (UTC+8)
摘要 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.
關聯 MOST 104-2112-M-004-002
資料類型 report
dc.contributor 應物所
dc.creator (作者) 林瑜琤zh_TW
dc.date (日期) 2016
dc.date.accessioned 18-May-2017 09:51:45 (UTC+8)-
dc.date.available 18-May-2017 09:51:45 (UTC+8)-
dc.date.issued (上傳時間) 18-May-2017 09:51:45 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/109768-
dc.description.abstract (摘要) 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。
dc.description.abstract (摘要) 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.
dc.format.extent 5247507 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) MOST 104-2112-M-004-002
dc.subject (關鍵詞) 無序系統; 無序單態基態; 關聯函數; 玻璃態
dc.subject (關鍵詞) disordered systems; random-singlet ground state; correlation functions; glassy phase
dc.title (題名) 無序關聯性系統的大規模計算模擬zh_TW
dc.type (資料類型) report