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題名 Properties of the random-singlet phase: From the disordered Heisenberg chain to an amorphous valence-bond solid
作者 柯志緯;林瑜琤
Shu, Yu-Rong;Yao, Dao-Xin;Ke, Chih-Wei;Lin, Yu-Cheng;Sandvik, Anders W.
貢獻者 應物所
日期 2016-11
上傳時間 8-Dec-2016 15:08:44 (UTC+8)
摘要 We use a strong-disorder renormalization group (SDRG) method and ground-state quantum Monte Carlo (QMC) simulations to study S=1/2 spin chains with random couplings, calculating disorder-averaged spin and dimer correlations. The QMC simulations demonstrate logarithmic corrections to the power-law decaying correlations obtained with the SDRG scheme. The same asymptotic forms apply both for systems with standard Heisenberg exchange and for certain multispin couplings leading to spontaneous dimerization in the clean system. We show that the logarithmic corrections arise in the valence-bond (singlet pair) basis from a contribution that cannot be generated by the SDRG scheme. In the model with multispin couplings, where the clean system dimerizes spontaneously, random singlets form between spinons localized at domain walls in the presence of disorder. This amorphous valence-bond solid is asymptotically a random-singlet state and only differs from the random-exchange Heisenberg chain in its short-distance properties.
關聯 Physical Review B, Vol.94, pp.174442(1-14)
資料類型 article
DOI https://dx.doi.org/10.1103/PhysRevB.94.174442
dc.contributor 應物所
dc.creator (作者) 柯志緯;林瑜琤zh_TW
dc.creator (作者) Shu, Yu-Rong;Yao, Dao-Xin;Ke, Chih-Wei;Lin, Yu-Cheng;Sandvik, Anders W.
dc.date (日期) 2016-11
dc.date.accessioned 8-Dec-2016 15:08:44 (UTC+8)-
dc.date.available 8-Dec-2016 15:08:44 (UTC+8)-
dc.date.issued (上傳時間) 8-Dec-2016 15:08:44 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/104680-
dc.description.abstract (摘要) We use a strong-disorder renormalization group (SDRG) method and ground-state quantum Monte Carlo (QMC) simulations to study S=1/2 spin chains with random couplings, calculating disorder-averaged spin and dimer correlations. The QMC simulations demonstrate logarithmic corrections to the power-law decaying correlations obtained with the SDRG scheme. The same asymptotic forms apply both for systems with standard Heisenberg exchange and for certain multispin couplings leading to spontaneous dimerization in the clean system. We show that the logarithmic corrections arise in the valence-bond (singlet pair) basis from a contribution that cannot be generated by the SDRG scheme. In the model with multispin couplings, where the clean system dimerizes spontaneously, random singlets form between spinons localized at domain walls in the presence of disorder. This amorphous valence-bond solid is asymptotically a random-singlet state and only differs from the random-exchange Heisenberg chain in its short-distance properties.
dc.format.extent 2192455 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Physical Review B, Vol.94, pp.174442(1-14)
dc.title (題名) Properties of the random-singlet phase: From the disordered Heisenberg chain to an amorphous valence-bond solid
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1103/PhysRevB.94.174442
dc.doi.uri (DOI) https://dx.doi.org/10.1103/PhysRevB.94.174442