| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
|
|
|
|
Lieb Lattices Formed by Real Atoms on Ag(111) and Their Lattice Constant-Dependent Electronic Properties |
| Xiaoxia Li1†, Qili Li1†, Tongzhou Ji1, Ruige Yan1, Wenlin Fan1, Bingfeng Miao1,2, Liang Sun1,2, Gong Chen1,2, Weiyi Zhang1,2, and Haifeng Ding1,2* |
1National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China
2Collaborative Innovation Center of Advanced Microstructures, Nanjing 210093, China
|
|
| Cite this article: |
|
Xiaoxia Li, Qili Li, Tongzhou Ji et al 2022 Chin. Phys. Lett. 39 057301 |
|
|
|
|
Abstract Scanning tunneling microscopy is a powerful tool to build artificial atomic structures that do not exist in nature but possess exotic properties. In this study, we constructed Lieb lattices with different lattice constants by real atoms, i.e., Fe atoms on Ag(111), and probed their electronic properties. We obtain a surprising long-range effective electron wavefunction overlap between Fe adatoms as it exhibits a $\frac{1}{r^{2}}$ dependence with the interatomic distance $r$ instead of the theoretically predicted exponential one. Combining control experiments, tight-binding modeling, and Green's function calculations, we attribute the observed long-range overlap to being enabled by the surface state. Our findings enrich the understanding of the electron wavefunction overlap and provide a convenient platform to design and explore artificial structures and future devices with real atoms.
|
|
|
Received: 10 February 2022
Editors' Suggestion
Published: 26 April 2022
|
|
| PACS: |
68.37.Ef
|
(Scanning tunneling microscopy (including chemistry induced with STM))
|
| |
73.20.At
|
(Surface states, band structure, electron density of states)
|
| |
73.20.-r
|
(Electron states at surfaces and interfaces)
|
|
|
|
|
|
| [1] | Heinrich A J, Lutz C P, Gupta J A, and Eigler D M 2002 Science 298 1381 |
| [2] | Li Q L, Li X X, Miao B F, Sun L, Chen G, Han P, and Ding H F 2020 Nat. Commun. 11 1400 |
| [3] | Moon C R, Mattos L S, Foster B K, Zeltzer G, and Manoharan H C 2009 Nat. Nanotechnol. 4 167 |
| [4] | Kalff F E, Rebergen M P, Fahrenfort E, Girovsky J, Toskovic R, Lado J L, Fernández-Rossier J, and Otte A F 2016 Nat. Nanotechnol. 11 926 |
| [5] | Nilius N, Wallis T M, and Ho W 2002 Science 297 1853 |
| [6] | Hirjibehedin C F, Lutz C P, and Heinrich A J 2006 Science 312 1021 |
| [7] | Nadj-Perge S, Drozdov I K, Li J, Chen H, Jeon S, Seo J, MacDonald A H, Bernevig B A, and Yazdani A 2014 Science 346 602 |
| [8] | Feldman B E, Randeria M T, Li J, Jeon S J, Xie Y L, Wang Z J, Drozdov I K, Bernevig B A, and Yazdani A 2017 Nat. Phys. 13 286 |
| [9] | Jeon S, Xie Y L, Li J, Wang Z J, Bernevig B A, and Yazdani A 2017 Science 358 772 |
| [10] | Kim H, Palacio-Morales A, Posske T, Rozsa L, Palotás K, Szunyogh L, Thorwart M, and Wiesendanger R 2018 Sci. Adv. 4 eaar5251 |
| [11] | Crommie M F, Lutz C P, and Eigler D M 1993 Science 262 218 |
| [12] | Manoharan H C, Lutz C P, and Eigler D M 2000 Nature 403 512 |
| [13] | Li Q L, Cao R X, and Ding H F 2020 Appl. Phys. Lett. 117 060501 |
| [14] | Gomes K K, Mar W, Ko W, Guinea F, and Manoharan H C 2012 Nature 483 306 |
| [15] | Collins L C, Witte T G, Silverman R, Green D B, and Gomes K K 2017 Nat. Commun. 8 15961 |
| [16] | Kempkes S N, Slot M R, Freeney S E, Zevenhuizen S J M, Vanmaekelbergh D, Swart I, and Smith C M 2019 Nat. Phys. 15 127 |
| [17] | Lieb E H 1989 Phys. Rev. Lett. 62 1201 |
| [18] | Tasaki H 1992 Phys. Rev. Lett. 69 1608 |
| [19] | Mielke A and Tasak H 1993 Commun. Math. Phys. 158 341 |
| [20] | Tasaki H 1994 Phys. Rev. Lett. 73 1158 |
| [21] | Miyahara S, Kusuta S, and Furukawa N 2007 Physica C 460–462 1145 |
| [22] | Kopnin N B, Heikkilä T T, and Volovik G E 2011 Phys. Rev. B 83 220503(R) |
| [23] | Julku A, Peotta S, Vanhala T I, Kim D H, and Türmä P 2016 Phys. Rev. Lett. 117 045303 |
| [24] | Weeks C and Franz M 2010 Phys. Rev. B 82 085310 |
| [25] | Goldman N, Urban D F, and Bercioux D 2011 Phys. Rev. A 83 063601 |
| [26] | Tang E, Mei J W, and Wen X G 2011 Phys. Rev. Lett. 106 236802 |
| [27] | Mukherjee S, Spracklen A, Choudhury D, Goldman N, Öhberg P, Andersson E, and Thomson R R 2015 Phys. Rev. Lett. 114 245504 |
| [28] | Taie S, Ozawa H, Ichinose T, Nishio T, Nakajima S, and Takahashi Y 2015 Sci. Adv. 1 e1500854 |
| [29] | Vicencio R A, Cantillano C, Morales-Inostroza L, Real B, Mejiá-Cortés C, Weimann S, Szameit A, and Molina M I 2015 Phys. Rev. Lett. 114 245503 |
| [30] | Diebel F, Leykam D, Kroesen S, Denz C, and Desyatnikov A S 2016 Phys. Rev. Lett. 116 183902 |
| [31] | Slot M R, Gardenier T S, Jacobse P H, van Miert G C P, Kempkes S N, Zevenhuizen S J M, Smith C M, Vanmaekelbergh D, and Swart I 2017 Nat. Phys. 13 672 |
| [32] | Drost R, Ojanen T, Harju A, and Liljeroth P 2017 Nat. Phys. 13 668 |
| [33] | Yan L H and Liljeroth P 2019 Adv. Phys.: X 4 1651672 |
| [34] | Slot M R, Kempkes S N, Knol E J, van Weerdenburg W M J, van den Broeke J J, Wegner D, Vanmaekelbergh D, Khajetoorians A A, Smith C M, and Swart I 2019 Phys. Rev. X 9 011009 |
| [35] | Eigler D M and Schweizer E K 1990 Nature 344 524 |
| [36] | Kittel C 2005 Fermi Surfaces and Metals in Introduction to Solid State Physics (New York: Wiley) p 233 |
| [37] | Kliewer J, Berndt R, and Crampin S 2000 Phys. Rev. Lett. 85 4936 |
| [38] | Fiete G A and Heller E J 2003 Rev. Mod. Phys. 75 933 |
| [39] | Li J T, Schneider W D, and Berndt R 1997 Phys. Rev. B 56 7656 |
| [40] | Mielke A 1991 J. Phys. A 24 3311 |
| [41] | Shen R, Shao L B, Wang B, and Xing D Y 2010 Phys. Rev. B 81 041410(R) |
| [42] | Qiu W X, Li S, Gao J H, Zhou Y, and Zhang F C 2016 Phys. Rev. B 94 241409(R) |
| [43] | Lazarovits B, Szunyogh L, and Weinberger P 2006 Phys. Rev. B 73 045430 |
| [44] | Lounis S, Mavropoulos P, Dederichs P H, and Blügel S 2006 Phys. Rev. B 73 195421 |
| [45] | Madhavan V, Chen W, Jamneala T, Crommie M F, and Wingreen N S 2001 Phys. Rev. B 64 165412 |
| [46] | Olsson F E, Persson M, Borisov A G, Gauyacq J P, Lagoute J, and Fölsch S 2004 Phys. Rev. Lett. 93 206803 |
| [47] | Limot L, Pehlke E, Kröger J, and Berndt R 2005 Phys. Rev. Lett. 94 036805 |
| [48] | Tacca M S, Jacob T, and Goldberg E C 2021 Phys. Rev. B 103 245419 |
| [49] | Fernández J, Roura-Bas P, and Aligia A A 2021 Phys. Rev. Lett. 126 046801 |
| [50] | Fölsch S, Hyldgaard P, Koch R, and Ploog K H 2004 Phys. Rev. Lett. 92 056803 |
| [51] | Lagoute J, Liu X, and Fölsch S 2005 Phys. Rev. Lett. 95 136801 |
| [52] | Huda M N, Kezilebieke S, and Liljeroth P 2020 Phys. Rev. Res. 2 043426 |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
