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題名 Random Quantum Ising Model with Three-Spin Couplings
作者 林瑜琤
Lin, Yu-Cheng;Iglói, Ferenc
貢獻者 應物所
關鍵詞 disordered systems; critical phenomena; renormalization group; infinite disorder fixed point
日期 2024-08
上傳時間 28-Oct-2024 13:15:34 (UTC+8)
摘要 We apply a real-space block renormalization group approach to study the critical properties of the random transverse-field Ising spin chain with multispin interactions. First, we recover the known properties of the traditional model with two-spin interactions by applying the renormalization approach for the arbitrary size of the block. For the model with three-spin couplings, we calculate the critical point and demonstrate that the phase transition is controlled by an infinite disorder fixed point. We have determined the typical correlation-length critical exponent, which seems to be different from that of the random transverse Ising chain with nearest-neighbor couplings. Thus, this model represents a new infinite disorder universality class.
關聯 Entropy, Special Issue: Violations of Hyperscaling in Phase Transitions and Critical Phenomena—in Memory of Prof. Ralph Kenna), Vol.26, No.8, 709 (12 pages)
資料類型 article
DOI https://doi.org/10.3390/e26080709
dc.contributor 應物所
dc.creator (作者) 林瑜琤
dc.creator (作者) Lin, Yu-Cheng;Iglói, Ferenc
dc.date (日期) 2024-08
dc.date.accessioned 28-Oct-2024 13:15:34 (UTC+8)-
dc.date.available 28-Oct-2024 13:15:34 (UTC+8)-
dc.date.issued (上傳時間) 28-Oct-2024 13:15:34 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/154140-
dc.description.abstract (摘要) We apply a real-space block renormalization group approach to study the critical properties of the random transverse-field Ising spin chain with multispin interactions. First, we recover the known properties of the traditional model with two-spin interactions by applying the renormalization approach for the arbitrary size of the block. For the model with three-spin couplings, we calculate the critical point and demonstrate that the phase transition is controlled by an infinite disorder fixed point. We have determined the typical correlation-length critical exponent, which seems to be different from that of the random transverse Ising chain with nearest-neighbor couplings. Thus, this model represents a new infinite disorder universality class.
dc.format.extent 97 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Entropy, Special Issue: Violations of Hyperscaling in Phase Transitions and Critical Phenomena—in Memory of Prof. Ralph Kenna), Vol.26, No.8, 709 (12 pages)
dc.subject (關鍵詞) disordered systems; critical phenomena; renormalization group; infinite disorder fixed point
dc.title (題名) Random Quantum Ising Model with Three-Spin Couplings
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.3390/e26080709
dc.doi.uri (DOI) https://doi.org/10.3390/e26080709