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Dynamical signatures of the one-dimensional deconfined quantum critical point |
Ning Xi(西宁) and Rong Yu(俞榕)† |
Department of Physics and Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, China |
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Abstract We study the critical scaling and dynamical signatures of fractionalized excitations at two different deconfined quantum critical points (DQCPs) in an S = 1/2 spin chain using the time evolution of infinite matrix product states. The scaling of the correlation functions and the dispersion of the conserved current correlations explicitly show the emergence of enhanced continuous symmetries at these DQCPs. The dynamical structure factors in several different channels reveal the development of deconfined fractionalized excitations at the DQCPs. Furthermore, we find an effective spin-charge separation at the DQCP between the ferromagnetic (FM) and valence bond solid (VBS) phases, and identify two continua associated with different types of fractionalized excitations at the DQCP between the X-direction and Z-direction FM phases. Our findings not only provide direct evidence for the DQCP in one dimension but also shed light on exploring the DQCP in higher dimensions.
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Received: 29 December 2021
Revised: 26 February 2022
Accepted manuscript online:
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PACS:
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75.10.Kt
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(Quantum spin liquids, valence bond phases and related phenomena)
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75.40.Gb
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(Dynamic properties?)
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Fund: Project supported by the National Science Foundation of China (Grant No.12174441),the Fundamental Research Funds for the Central Universities,China,and the Research Funds of Remnin University of China (Grant No.18XNLG24). |
Corresponding Authors:
Rong Yu,E-mail:rong.yu@ruc.edu.cn
E-mail: rong.yu@ruc.edu.cn
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About author: 2022-3-2 |
Cite this article:
Ning Xi(西宁) and Rong Yu(俞榕) Dynamical signatures of the one-dimensional deconfined quantum critical point 2022 Chin. Phys. B 31 057501
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[1] Chaikin P M and Lubensky T C 1995 Principles of condensed matter physics (Cambridge: Cambridge University Press) [2] Giamarchi T 2004 Quantum Physics in One Dimension (Oxford: Oxford Univ. Press) [3] Diep H T 2004 Frustrated spin systems (Beijing: World Scientific) [4] Lacroix C, Mendels P and Mila F 2013 Introduction to Frustrated Magnetism Materials, Experiments, Theory (Berlin: Springer Berlin) [5] Sachdev S 2011 Quantum Phase Transition (Cambridge: Cambridge University Press) [6] Senthil T, Vishwanath A, Balents L, Sachdev S and Fisher M P A 2004 Science 303 1490 [7] Senthil T, Balents L, Sachdev S, Vishwanath A and Fisher M P A 2004 Phys. Rev. B 70 144407 [8] Sandvik A W 2007 Phys. Rev. Lett. 98 227202 [9] Chen K, Huang Y, Deng Y, Kuklov A B, Prokof’ev N V and Svistunov B V 2013 Phys. Rev. Lett. 110 185701 [10] Nahum A, Serna P, Chalker J T, Ortuno M and Somoza A M 2015 Phys. Rev. Lett. 115 267203 [11] Shao H, Guo W and Sandvik A W 2016 Science 352 213 [12] Qin Y Q, He Y Y, You Y Z, Lu Z Y, Sen A, Sandvik A W, Xu C and Meng Z Y 2017 Phys. Rev. X 7 031052 [13] Ma N, Sun G Y, You Y Z, Xu C, Vishwanath A, Sandvik A W and Meng Z Y 2018 Phys. Rev. B 98 174421 [14] Ma N, You Y Z and Meng Z Y 2019 Phys. Rev. Lett. 122 175701 [15] Lee J Y, You Y Z, Sachdev S and Vishwanath A. 2019 Phys. Rev. X 9 041037 [16] Xi N, Chen H, Xie Z Y and Yu R 2021 arXiv: 2111.07368 [17] Zhao B, Takahashi J and Sandvik A W 2020 Chin. Phys. B 29 57506 [18] Sun G, Ma N, Zhao B, Sandvik A W and Meng Z Y 2021 Chin. Phys. B 30 067505 [19] Cui Y, Liu L, Lin H, Wu K-H, Hong W, Liu X, Li C, Hu Z, Xi N, Li S, Yu R, Sandvik A W and Yu W 2022 arXiv:2204.08133 [20] Huang R Z, Lu D C, You Y Z, Meng Z Y and Xiang T 2019 Phys. Rev. B 100 125137 [21] Huang R Z and Yin S 2020 Phys. Rev. Research 2 023175 [22] Affleck I and Haldane F D M 1987 Phys. Rev. B 36 5291 [23] Patil P, Katz E and Sandvik A W 2018 Phys. Rev. B 98 014414 [24] Mudry C, Furusaki A, Morimoto T and Hikihara T 2019 Phys. Rev. B 99 205153 [25] Roberts B, Jiang S and Motrunich O I 2019 Phys. Rev. B 99 165143 [26] Jiang S and Motrunich O I 2019 Phys. Rev. B 99 075103 [27] Yang S, Yao D X and Sandvik A W 2020 arXiv: 2001.02821 [28] Roberts B, Jiang S and Motrunich O I 2021 Phys. Rev. B 103 155143 [29] Yang S and Xu J B 2021 Phys. Rev. E 104 064121 [30] Furukawa S, Sato M, Onoda S and Furusaki A 2012 Phys. Rev. B 86 094417 [31] Luo Q, Zhao J and Wang X 2019 Phys. Rev. B 100 121111 [32] Sun G, Wei B B and Kou S P 2019 Phys. Rev. B 100 064427 [33] White S R 1992 Phys. Rev. Lett. 69 2863 [34] Delft J V and Schoeller H 1998 Annalen der Physik 7 225 [35] Fradkin E 2013 Field theories of condensed matter systems (Cambridge: Cambridge University Press) [36] Lieb E, Schultz T and Mattis D 1961 Ann. Phys. 16 407 [37] Nomura K, Morishige J and Isoyama T 2015 J. Phys. A 48 375001 [38] Isoyama T and Nomura K 2017 Prog. Theoret. Experiment. Phys. 2017 103I01 [39] Vidal G 2007 Phys. Rev. Lett. 98 070201 [40] Schollwöck U 2011 Ann. Phys. 326 96 [41] Tagliacozzo L, Oliveira T R, Iblisdir S and Latorre J I 2008 Phys. Rev. B 78 024410 [42] Pollmann F, Mukerjee S, Turner A M and Moore J E 2009 Phys. Rev. Lett. 102 255701 [43] Pirvu B, Vidal G, Verstraete F and Tagliacozzo L 2012 Phys. Rev. B 86 075117 [44] White S R and Affleck I 2008 Phys. Rev. B 77 134437 [45] Latorre J I and Riera A 2009 J. Phys. A 42 504002 [46] For a system with open boundary conditions, the scaling of the entanglement entropy reads $s\sim\frac{c}{6}\log(\xi)$, where c is the central charge. [47] Xi N and Yu R 2022 arXiv: 2202.12543 |
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