CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Enhanced Intertwined Spin and Charge Orders in the $t$–$J$ Model in a Small $J$ Case |
Yu Zhang1, Jiawei Mei1*, and Weiqiang Chen1,2* |
1Department of Physics and Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China 2Shenzhen Key Laboratory of Advanced Quantum Functional Materials and Devices, Southern University of Science and Technology, Shenzhen 518055, China
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Cite this article: |
Yu Zhang, Jiawei Mei, and Weiqiang Chen 2023 Chin. Phys. Lett. 40 037401 |
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Abstract The one-band $t$–$J$ model captures strong correlations in cuprate high-temperature superconductors. It accounts for the various intertwined spin and charge orders, and the superconductivity in the phase diagrams. To see the correlation effect on the intertwined orders, we implement the density matrix renormalization group method to simulate the $t$–$J$ model in a small $J$ case with $t/J=10$, which is in a deeper Mott region than that with $t/J\simeq3$ in cuprate superconducting compounds. We examine the results on a six-leg lattice with both the nearest and next-nearest-neighbor hoppings and antiferromagnetic coupling, and find the absence of superconductivity and enhanced intertwined spin and charge orders in the phase diagram. Besides the stripe phases, we find a new SDW + CDW phase in which the spin modulation is a $(\pi, \pi)$ antiferromagnetism, while the wavelength of the charge modulation is shorter than that of the stripe phases. Our results suggest the enhanced intertwined orders and suppressed superconductivity in the deep Mott region.
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Received: 19 December 2022
Published: 24 February 2023
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PACS: |
74.20.-z
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(Theories and models of superconducting state)
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74.72.-h
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(Cuprate superconductors)
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71.10.Fd
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(Lattice fermion models (Hubbard model, etc.))
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[1] | Bednorz J G and Müller K A 1986 Z. Phys. B: Condens. Matter 64 189 |
[2] | Keimer B, Kivelson S A, Norman M R, Uchida S, and Zaanen J 2015 Nature 518 179 |
[3] | Emery V, Kivelson S, and Tranquada J 1999 Proc. Natl. Acad. Sci. USA 96 8814 |
[4] | Fradkin E, Kivelson S A, and Tranquada J M 2015 Rev. Mod. Phys. 87 457 |
[5] | Armitage N, Fournier P, and Greene R 2010 Rev. Mod. Phys. 82 2421 |
[6] | Damascelli A, Hussain Z, and Shen Z X 2003 Rev. Mod. Phys. 75 473 |
[7] | Norman M and Pépin C 2003 Rep. Prog. Phys. 66 1547 |
[8] | Shen K M and Davis J S 2008 Mater. Today 11 14 |
[9] | Chu C W, Deng L Z, and Lv B 2015 Physica C 514 290 |
[10] | Comin R and Damascelli A 2016 Annu. Rev. Condens. Matter Phys. 7 369 |
[11] | Zhang F C and Rice T M 1988 Phys. Rev. B 37 3759 |
[12] | Corboz P, Rice T M, and Troyer M 2014 Phys. Rev. Lett. 113 046402 |
[13] | Dodaro J F, Jiang H C, and Kivelson S A 2017 Phys. Rev. B 95 155116 |
[14] | Jiang H C, Weng Z Y, and Kivelson S A 2018 Phys. Rev. B 98 140505 |
[15] | Corboz P, White S R, Vidal G, and Troyer M 2011 Phys. Rev. B 84 041108 |
[16] | Izyumov Y A 1997 Phys.-Usp. 40 445 |
[17] | White S R and Scalapino D 2009 Phys. Rev. B 79 220504 |
[18] | Himeda A, Kato T, and Ogata M 2002 Phys. Rev. Lett. 88 117001 |
[19] | White S R and Scalapino D J 1998 Phys. Rev. Lett. 80 1272 |
[20] | White S R and Scalapino D 1999 Phys. Rev. B 60 R753 |
[21] | Sorella S, Martins G, Becca F, Gazza C, Capriotti L, Parola A, and Dagotto E 2002 Phys. Rev. Lett. 88 117002 |
[22] | Gong S S, Zhu W, and Sheng D N 2021 Phys. Rev. Lett. 127 097003 |
[23] | Jiang S T, Scalapino D J, and White S R 2021 Proc. Natl. Acad. Sci. USA 118 e2109978118 |
[24] | White S R 1992 Phys. Rev. Lett. 69 2863 |
[25] | White S R 1993 Phys. Rev. B 48 10345 |
[26] | Poilblanc D and Rice T 1989 Phys. Rev. B 39 9749 |
[27] | Zaanen J and Gunnarsson O 1989 Phys. Rev. B 40 7391 |
[28] | Fishman M, White S R, and Stoudenmire E M 2020 arXiv:2007.14822 [cs.MS] |
[29] | Kivelson S A, Bindloss I P, Fradkin E, Oganesyan V, Tranquada J M, Kapitulnik A, and Howald C 2003 Rev. Mod. Phys. 75 1201 |
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