| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Low-Energy Spin Excitations in Detwinned FeSe |
| Ruixian Liu1*, Mitsutaka Nakamura2, Kazuya Kamazawa3, and Xingye Lu1* |
1Center for Advanced Quantum Studies, School of Physics and Astronomy, Beijing Normal University, Beijing 100875, China
2J-PARC Center, Japan Atomic Energy Agency (JAEA), Tokai, Ibaraki 319-1195, Japan
3Research Center for Neutron Science and Technology, Comprehensive Research Organization for Science and Society, Tokai, Ibaraki 319-1106, Japan
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| Cite this article: |
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Ruixian Liu, Mitsutaka Nakamura, Kazuya Kamazawa et al 2024 Chin. Phys. Lett. 41 067401 |
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Abstract Antiferromagnetic spin fluctuation is regarded as the leading driving force for electron pairing in high-$T_{\rm c}$ superconductors. In iron-based superconductors, spin excitations at low energy range, especially the spin-resonance mode at $E_{\rm R} \sim5k_{\rm B}T_{\rm c}$, are important for understanding the superconductivity. Here, we use inelastic neutron scattering (INS) to investigate the symmetry and in-plane wave-vector dependence of low-energy spin excitations in uniaxial-strain detwinned FeSe. The low-energy spin excitations ($E < 10$ meV) appear mainly at ${\boldsymbol Q} = (\pm 1,\, 0)$ in the superconducting state ($T\lesssim9$ K) and the nematic state ($T\lesssim90$ K), confirming the constant $C_2$ rotational symmetry and ruling out the $C_4$ mode at $E\approx3$ meV reported in a prior INS study. Moreover, our results reveal an isotropic spin resonance in the superconducting state, which is consistent with the $s^{\pm}$ wave pairing symmetry. At slightly higher energy, low-energy spin excitations become highly anisotropic. The full width at half maximum of spin excitations is elongated along the transverse direction. The $Q$-space isotropic spin resonance and highly anisotropic low-energy spin excitations could arise from $d_{yz}$ intra-orbital selective Fermi surface nesting between the hole pocket around $\varGamma$ point and the electron pockets centered at $M_{\rm X}$ point.
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Received: 06 February 2024
Published: 20 June 2024
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| PACS: |
74.70.Xa
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(Pnictides and chalcogenides)
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76.50.+g
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(Ferromagnetic, antiferromagnetic, and ferrimagnetic resonances; spin-wave resonance)
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| [1] | Chen X H, Dai P C, Feng D L, Xiang T, and Zhang F C 2014 Natl. Sci. Rev. 1 371 |
| [2] | Kordyuk A A 2012 Low Temp. Phys. 38 888 |
| [3] | Inosov D S, Park J T, Charnukha A, Li Y, Boris A V, Keimer B, and Hinkov V 2011 Phys. Rev. B 83 214520 |
| [4] | Yu G, Li Y, Motoyama E M, and Greven M 2009 Nat. Phys. 5 873 |
| [5] | Hirschfeld P J, Korshunov M M, and Mazin I I 2011 Rep. Prog. Phys. 74 124508 |
| [6] | Hong W, Song L, Liu B, Li Z, Zeng Z, Li Y, Wu D, Sui Q, Xie T, Danilkin S, Ghosh H, Ghosh A, Hu J, Zhao L, Zhou X, Qiu X, Li S, and Luo H 2020 Phys. Rev. Lett. 125 117002 |
| [7] | Scalapino D J 2012 Rev. Mod. Phys. 84 1383 |
| [8] | Dai P 2015 Rev. Mod. Phys. 87 855 |
| [9] | Wang M, Zhang C, Lu X, Tan G, Luo H, Song Y, Wang M, Zhang X, Goremychkin E A, Perring T G, Maier T A, Yin Z, Haule K, Kotliar G, and Dai P 2013 Nat. Commun. 4 2874 |
| [10] | Yin Z P, Haule K, and Kotliar G 2014 Nat. Phys. 10 845 |
| [11] | Li H F, Broholm C, Vaknin D, Fernandes R M, Abernathy D L, Stone M B, Pratt D K, Tian W, Qiu Y, Ni N, Diallo S O, Zarestky J L, Bud'ko S L, Canfield P C, and McQueeney R J 2010 Phys. Rev. B 82 140503 |
| [12] | Coldea A I and Watson M D 2018 Annu. Rev. Condens. Matter Phys. 9 125 |
| [13] | Böhmer A E and Kreisel A 2018 J. Phys.: Condens. Matter 30 023001 |
| [14] | Shibauchi T, Hanaguri T, and Matsuda Y 2020 J. Phys. Soc. Jpn. 89 102002 |
| [15] | Medvedev S, McQueen T M, Troyan I A, Palasyuk T, Eremets M I, Cava R J, Naghavi S, Casper F, Ksenofontov V, Wortmann G, and Felser C 2009 Nat. Mater. 8 630 |
| [16] | Ying T P, Chen X L, Wang G, Jin S F, Zhou T T, Lai X F, Zhang H, and Wang W Y 2012 Sci. Rep. 2 426 |
| [17] | Krzton-Maziopa A, Shermadini Z, Pomjakushina E, Pomjakushin V, Bendele M, Amato A, Khasanov R, Luetkens H, and Conder K 2011 J. Phys.: Condens. Matter 23 052203 |
| [18] | Guo J, Jin S, Wang G, Wang S, Zhu K, Zhou T, He M, and Chen X 2010 Phys. Rev. B 82 180520 |
| [19] | Ge J F, Liu Z L, Liu C H, Gao C L, Qian D, Xue Q K, Liu Y, and Jia J F 2015 Nat. Mater. 14 285 |
| [20] | Wang Q Y, Li Z, Zhang W H, Zhang Z C, Zhang J S, Li W, Ding H, Ou Y B, Deng P, Chang K, Wen J, Song C L, He K, Jia J F, Ji S H, Wang Y Y, Wang L L, Chen X, Ma X C, and Xue Q K 2012 Chin. Phys. Lett. 29 037402 |
| [21] | He S L, He J F, Zhang W H, Zhao L, Liu D F, Liu X, Mou D X, Ou Y B, Wang Q Y, Li Z, Wang L L, Peng Y Y, Liu Y, Chen C Y, Yu L, Liu G D, Dong X L, Zhang J, Chen C T, Xu Z Y, Chen X, Ma X C, Xue Q K, and Zhou X J 2013 Nat. Mater. 12 605 |
| [22] | Tan S Y, Zhang Y, Xia M, Ye Z R, Chen F, Xie X, Peng R, Xu D F, Fan Q, Xu H C, Jiang J, Zhang T, Lai X C, Xiang T, Hu J P, Xie B P, and Feng D L 2013 Nat. Mater. 12 634 |
| [23] | Yi M, Pfau H, Zhang Y, He Y, Wu H, Chen T, Ye Z R, Hashimoto M, Yu R, Si Q, Lee D H, Dai P C, Shen Z X, Lu D H, and Birgeneau R J 2019 Phys. Rev. X 9 041049 |
| [24] | Wang Q, Shen Y, Pan B, Hao Y, Ma M, Zhou F, Steffens P, Schmalzl K, Forrest T R, Abdel-Hafiez M, Chen X, Chareev D A, Vasiliev A N, Bourges P, Sidis Y, Cao H, and Zhao J 2016 Nat. Mater. 15 159 |
| [25] | Chen T, Chen Y, Kreisel A, Lu X, Schneidewind A, Qiu Y, Park J T, Perring T G, Stewart J R, Cao H, Zhang R, Li Y, Rong Y, Wei Y, Andersen B M, Hirschfeld P J, Broholm C, and Dai P 2019 Nat. Mater. 18 709 |
| [26] | Lu X Y, Zhang W L, Tseng Y, Liu R X, Tao Z, Paris E, Liu P P, Chen T, Strocov V N, Song Y, Yu R, Si Q M, Dai P C, and Schmitt T 2022 Nat. Phys. 18 806 |
| [27] | Liu R X, Stone M B, Gao S, Nakamura M, Kamazawa K, Krajewska A, Walker H C, Cheng P, Yu R, Si Q M, Dai P C, and Lu X Y 2024 arXiv:2401.05092 [cond-mat.supr-con] |
| [28] | Wang Q, Shen Y, Pan B, Zhang X, Ikeuchi K, Iida K, Christianson A D, Walker H C, Adroja D T, Abdel-Hafiez M, Chen X, Chareev D A, Vasiliev A N, and Zhao J 2016 Nat. Commun. 7 12182 |
| [29] | Sprau P O, Kostin A, Kreisel A, Böhmer A E, Taufour V, Canfield P C, Mukherjee S, Hirschfeld P J, Andersen B M, and Davis J C S 2017 Science 357 75 |
| [30] | Hirschfeld P J, Altenfeld D, Eremin I, and Mazin I I 2015 Phys. Rev. B 92 184513 |
| [31] | Tanatar M A, Kreyssig A, Nandi S, Ni N, Bud'ko S L, Canfield P C, Goldman A I, and Prozorov R 2009 Phys. Rev. B 79 180508 |
| [32] | Luo H, Yamani Z, Chen Y, Lu X, Wang M, Li S, Maier T A, Danilkin S, Adroja D T, and Dai P 2012 Phys. Rev. B 86 024508 |
| [33] | Zhang J, Sknepnek R, and Schmalian J 2010 Phys. Rev. B 82 134527 |
| [34] | Zhang C L, Wang M, Luo H Q, Wang M Y, Liu M S, Zhao J, Abernathy D L, Maier T A, Marty K, Lumsden M D, Chi S X, Chang S, Rodriguez-Rivera J A, Lynn J W, Xiang T, Hu J P, and Dai P C 2011 Sci. Rep. 1 115 |
| [35] | Graser S, Kemper A F, Maier T A, Cheng H P, Hirschfeld P J, and Scalapino D J 2010 Phys. Rev. B 81 214503 |
| [36] | Yan J Q, Sales B C, Susner M A, and McGuire M A 2017 Phys. Rev. Mater. 1 023402 |
| [37] | Kajimoto R, Nakamura M, Inamura Y, Mizuno F, Nakajima K, Ohira-Kawamura S, Yokoo T, Nakatani T, Maruyama R, Soyama K, Shibata K, Suzuya K, Sato S, Aizawa K, Arai M, Wakimoto S, Ishikado M, Shamoto S i, Fujita M, Hiraka H, Ohoyama K, Yamada K, and Lee C H 2011 J. Phys. Soc. Jpn. 80 SB025 |
| [38] | Seto H, Itoh S, Yokoo T, Endo H, Nakajima K, Shibata K, Kajimoto R, Ohira-Kawamura S, Nakamura M, Kawakita Y, Nakagawa H, and Yamada T 2017 Biochimica et Biophysica Acta-General Subjects 1861 3651 |
| [39] | Nakamura M, Kambara W, Iida K, Kajimoto R, Kamazawa K, Ikeuchi K, Ishikado M, and Aoyama K 2018 Physica B 551 480 |
| [40] | Chen T, Chen Y Z, Tam D W, Gao B, Qiu Y M, Schneidewind A, Radelytskyi I, Prokes K, Chi S X, Matsuda M, Broholm C, and Dai P C 2020 Phys. Rev. B 101 140504 |
| [41] | Diallo S O, Pratt D K, Fernandes R M, Tian W, Zarestky J L, Lumsden M, Perring T G, Broholm C L, Ni N, Bud'ko S L, Canfield P C, Li H F, Vaknin D, Kreyssig A, Goldman A I, and McQueeney R J 2010 Phys. Rev. B 81 214407 |
| [42] | Park J T, Inosov D S, Yaresko A, Graser S, Sun D L, Bourges P, Sidis Y, Li Y, Kim J H, Haug D, Ivanov A, Hradil K, Schneidewind A, Link P, Faulhaber E, Glavatskyy I, Lin C T, Keimer B, and Hinkov V 2010 Phys. Rev. B 82 134503 |
| [43] | Lester C, Chu J H, Analytis J G, Perring T G, Fisher I R, and Hayden S M 2010 Phys. Rev. B 81 064505 |
| [44] | Tian L, Liu P P, Xu Z, Li Y, Lu Z L, Walker H C, Stuhr U, Tan G T, Lu X Y, and Dai P C 2019 Phys. Rev. B 100 134509 |
| [45] | Liu M, Harriger L W, Luo H, Wang M, Ewings R A, Guidi T, Park H, Haule K, Kotliar G, Hayden S M, and Dai P 2012 Nat. Phys. 8 376 |
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