Abstract
Twistronics has recently attracted tremendous attention because the twisting can engineer the bilayer graphene-like materials into varying types of strongly correlated phases. In this article, we study the twisting of bilayer graphene (BLG) quantum dots (QDs) with hexagonal shape and zigzag edges. In the untwisted BLG QDs, the zigzag edges of graphene host spontaneous magnetism with varying magnetic configurations. As a BLG QD is adiabatically twisted, the quantum state evolves as a function of the twisting angle. If the twisting angle changes across certain critical value, the magnetic configuration of the quantum state sharply changes. For the twisting process with increasing or decreasing twisting angle, the number and value of the critical twisting angles are different. Thus, the twisting process with the twisting angle increasing and decreasing back and forth could enter a hysteresis loop. The twisting of BLG QDs with adatom is also investigated. The tuning features of the magnetic configuration of the twisted BLG QDs could be applied for graphene-based quantum memory devices.
Impact statement
This manuscript studied the spontaneous edge magnetic of twist bilayer graphene quantum dot with hexagonal shape and zigzag edges. The mechanical twisting of the quantum dot can tune the magnetism. The back-and-forth twisting of the quantum dot induce bistability of the magnetism. The bistability behavior of nanodevices consisting of carbon atom is new to the community.
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References
I. Zutic, J. Fabian, S.D. Sarma, Rev. Mod. Phys. 76, 323 (2004)
W. Han, R.K. Kawakami, M. Gmitra, J. Fabian, Nat. Nanotechnol. 9, 794 (2014)
C.C. Liu, W. Feng, Y. Yao, Phys. Rev. Lett. 107, 076802 (2011)
M. Ezawa, Phys. Rev. Lett. 109, 055502 (2012)
Y. Ren, Z. Qiao, Q. Niu, Rep. Prog. Phys. 79, 066501 (2016)
A.H. Castro Neto, F. Guinea, N.M.R. Peres, K.S. Novoselov, A.K. Geim, Rev. Mod. Phys. 81, 109 (2009)
T. Cao, W. Meng, S.G. Louie, Phys. Rev. Lett. 120, 087402 (2018)
F. Zhao, T. Cao, S.G. Louie, Phys. Rev. Lett. 127, 166401 (2021)
M. Fujita, K. Wakabayashi, K. Nakada, K. Kusakabe, J. Phys. Soc. Jpn. 65, 1920 (1996)
T. Hikihara, H. Xiao, H.H. Lin, C.Y. Mou, Phys. Rev. B 68, 035432 (2003)
A. Yamashiro, Y. Shimoi, K. Harigaya, K. Wakabayashi, Phys. Rev. B 68, 193410 (2003)
Y.W. Son, M.L. Cohen, S.G. Louie, Nature 444, 347 (2006)
Y.W. Son, M.L. Cohen, S.G. Louie, Phys. Rev. Lett. 97, 216803 (2006)
L. Pisani, J.A. Chan, B. Montanari, N.M. Harrison, Phys. Rev. B 75, 064418 (2007)
B. Wunsch, T. Stauber, F. Sols, F. Guinea, Phys. Rev. Lett. 101, 036803 (2008)
J. Fernández-Rossier, Phys. Rev. B 77, 075430 (2008)
J. Jung, A.H. MacDonald, Phys. Rev. B 79, 235433 (2009)
J.W. Rhim, K. Moon, Phys. Rev. B 80, 155441 (2009)
S. Lakshmi, S. Roche, G. Cuniberti, Phys. Rev. B 80, 193404 (2009)
J. Jung, T. Pereg-Barnea, A.H. MacDonald, Phys. Rev. Lett. 102, 227205 (2009)
O.V. Yazyev, Rep. Prog. Phys. 73, 056501 (2010)
Y. Hancock, A. Uppstu, K. Saloriutta, A. Harju, M.J. Puska, Phys. Rev. B 81, 245402 (2010)
M.J. Schmidt, D. Loss, Phys. Rev. B 82, 085422 (2010)
H. Feldner, Z.Y. Meng, T.C. Lang, F.F. Assaad, S. Wessel, A. Honecker, Phys. Rev. Lett. 106, 226401 (2011)
D.J. Luitz, F.F. Assaad, M.J. Schmidt, Phys. Rev. B 83, 195432 (2011)
J. Jung, Phys. Rev. B 83, 165415 (2011)
F.J. Culchac, A. Latgé, A.T. Costa, New J. Phys. 13, 033028 (2011)
M.J. Schmidt, Phys. Rev. B 86, 075458 (2012)
H. Karimi, I. Affleck, Phys. Rev. B 86, 115446 (2012)
M.J. Schmidt, M.Golor, T.C. Lang, S. Wessel, Phys. Rev. B 87, 245431 (2013)
M. Golor, T.C. Lang, S. Wessel, Phys. Rev. B 87, 155441 (2013)
S. Bhowmick, A. Medhi, V.B. Shenoy, Phys. Rev. B 87, 085412 (2013)
L.F. Huang, G.R. Zhang, X.H. Zheng, P.L. Gong, T.F. Cao, Z. Zeng, J. Phys. Condens. Matter 25, 055304 (2013)
V.V. Ilyasov, B.C. Meshi, V.C. Nguyen, I.V. Ershov, D.C. Nguyen, AIP Adv. 3, 092105 (2013)
A.R. Carvalho, J.H. Warnes, C.H. Lewenkopf, Phys. Rev. B 89, 245444 (2014)
J.L. Lado, J. Fernández-Rossier, Phys. Rev. Lett. 113, 027203 (2014)
M. Golor, S. Wessel, M.J. Schmidt, Phys. Rev. Lett. 112, 046601 (2014)
V.M.L.D.P. Goli, S. Prodhan, S. Mazumdar, S. Ramasesha, Phys. Rev. B 94, 035139 (2016)
J.P.C. Baldwin, Y. Hancock, Phys. Rev. B 94, 165126 (2016)
R. Ortiz, J.L. Lado, M. Melle-Franco, J. Fernández-Rossier, Phys. Rev. B 94, 094414 (2016)
I. Hagymási, Ö. Legeza, Phys. Rev. B 94, 165147 (2016)
H.U. Özdemir, A. Altıntas, A.D. Güclü, Phys. Rev. B 93, 014415 (2016)
J.S. Friedman, A. Girdhar, R.M. Gelfand, G. Memik, H. Mohseni, A. Taflove, B.W. Wessels, J.P. Leburton, A.V. Sahakian, Nat. Commun. 8, 15635 (2017)
Z. Shi, I. Affleck, Phys. Rev. B 95, 195420 (2017)
S. Krompiewski, G. Cuniberti, Phys. Rev. B 96, 155447 (2017)
S. Krompiewski, Phys. Rev. B 100, 125421 (2019)
M. Luo, Phys. Rev. B 102, 075421 (2020)
J. Jung, A.H. MacDonald, Phys. Rev. B 81, 195408 (2010)
D. Soriano, J. Fernández-Rossier, Phys. Rev. B 85, 195433 (2012)
X.L. Lü, Y. Xie, H. Xie, New J. Phys. 20, 043054 (2018)
J. Fernández-Rossier, J.J. Palacios, Phys. Rev. Lett. 99, 177204 (2007)
H. Wei, Y. Huang, X. Qin, L. Lin, E. Kan, X. Li, C. Yang, J. Yang, NPJ 2D Mater. Appl. 3, 17 (2019)
M. Luo, Phys. Rev. B 104, 235438 (2021)
M. Luo, J. Phys. D Appl. Phys. 54, 325003 (2021)
T. Tan, F. Fan, C. Li, W. Yao, Phys. Rev. B 106, 045405 (2022)
J.M.B. Lopes dos Santos, N.M.R. Peres, A.H. Castro Neto, Phys. Rev. Lett. 99, 256802 (2007)
E. Suarez Morell, J.D. Correa, P. Vargas, M. Pacheco, Z. Barticevic, Phys. Rev. B 82, 121407(R) (2010)
G. Trambly de Laissardière, D. Mayou, L. Magaud, Nano Lett. 10, 804 (2010)
R. Bistritzer, A.H. MacDonald, Proc. Natl. Acad. Sci. U.S.A. 108, 12233 (2011)
Y. Cao, V. Fatemi, S. Fang, K. Watanabe, T. Taniguchi, E. Kaxiras, P. Jarillo-Herrero, Nature (London) 556, 43 (2018)
B.A. Bernevig, B. Lian, A. Cowsik, F. Xie, N. Regnault, Z.D. Song, Phys. Rev. B 103, 205415 (2021)
S.J. Ahn, P. Moon, T.H. Kim, H.W. Kim, H.C. Shin, E.H. Kim, H.W. Cha, S.J. Kahng, P. Kim, M. Koshino, Science 361, 782 (2018)
M. Mirzakhani, F.M. Peeters, M. Zarenia, Phys. Rev. B 101, 075413 (2020)
M.H. Naik, S. Kundu, I. Maity, M. Jain, Phys. Rev. B 102, 075413 (2020)
X.F. Zhou, Y.W. Liu, H.Y. Yan, F. Zhong-Qiu, H. Liu, L. He, Phys. Rev. B 104, 235417 (2021)
J. Bucko, F. Herman, Phys. Rev. B 103, 075116 (2021)
A.L. Rakhmanov, A.V. Rozhkov, A.O. Sboychakov, Phys. Rev. B 105, 235415 (2022)
Y. Wang, Y. Guodong, M. Rösner, M.I. Katsnelson, H.Q. Lin, S. Yuan, Phys. Rev. X 12, 021055 (2022)
J. Nokelainen, I.V. Rozhansky, B. Barbiellini, E. Lähderanta, K. Pussi, Phys. Rev. B 99, 035441 (2019)
J. Lee, D. Kochan, J. Fabian, Phys. Rev. B 99, 035412 (2019)
S. Wellnhofer, A. Stabile, D. Kochan, M. Gmitra, Y.W. Chuang, J. Zhu, J. Fabian, Phys. Rev. B 100, 035421 (2019)
S.O. Woo, I. Yudhistira, S. Hemmatiyan, T.D. Morrison, K.D.D. Rathnayaka, D.G. Naugle, Phys. Rev. B 99, 085416 (2019)
K. Noori, S.Y. Quek, A. Rodin, Phys. Rev. B 102, 195416 (2020)
Y. Zhang, Q.Q. Guo, S.Y. Li, L. He, Phys. Rev. B 101, 155424 (2020)
S.B. Qiu, Y.J. Zhao, Y. Yao, X.B. Yang, Phys. Rev. B 104, 134409 (2021)
T. Nakanishi, T. Ando, J. Phys. Soc. Jpn. 70, 1647 (2001)
S. Uryu, Phys. Rev. B 69, 075402 (2004)
J.C. Slater, G.F. Koster, Phys. Rev. 94, 1498 (1954)
P. Moon, M. Koshino, Phys. Rev. B 85, 195458 (2012)
J. Kang, O. Vafek, Phys. Rev. X 8, 031088 (2018)
E. Kogan, V.U. Nazarov, V.M. Silkin, M. Kaveh, Phys. Rev. B 89, 165430 (2014)
Y. Cao, J.Y. Luo, V. Fatemi, S. Fang, J.D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras, P. Jarillo-Herrero, Phys. Rev. Lett. 117, 116804 (2016)
K. Kim, M. Yankowitz, B. Fallahazad, S. Kang, H.C.P. Movva, S. Huang, S. Larentis, C.M. Corbet, T. Taniguchi, K. Watanabe, S.K. Banerjee, B.J. LeRoy, E. Tutuc, Nano Lett. 16(3), 1989 (2016)
B. Butz, C. Dolle, F. Niekiel, K. Weber, D. Waldmann, H.B. Weber, B. Meyer, E. Spiecker, Nature 505, 533 (2014)
N.P. Kazmierczak, M. Van Winkle, C. Ophus, K.C. Bustillo, S. Carr, H.G. Brown, J. Ciston, T. Taniguchi, K. Watanabe, D.K. Bediako, Nat. Mater. 20, 956 (2021)
M.M. Ugeda, I. Brihuega, F. Guinea, J.M. Gómez-RodrÃguez, Phys. Rev. Lett. 104, 096804 (2010)
K. Kim, A. DaSilva, S. Huang, B. Fallahazad, S. Larentis, T. Taniguchi, K. Watanabe, B.J. LeRoy, A.H. MacDonald, E. Tutuc, Proc. Natl. Acad. Sci. U.S.A. 114(13), 3364 (2017)
K. Cai, S. Sun, J. Shi, Q.H. Qin, Phys. Rev. Appl. 15, 054017 (2021)
J. Lawrence, A. Berdonces-Layunta, S. Edalatmanesh, J. Castro-Esteban, T. Wang, A. Jimenez-Martin, B. de la Torre, R. Castrillo-Bodero, P. Angulo-Portugal, M.S. Mohammed, A. Matěj Nat. Chem. 14, 1451 (2022)
R.E. Blackwell, F. Zhao, E. Brooks, J. Zhu, I. Piskun, S. Wang, A. Delgado, Y.L. Lee, S.G. Louie, F.R. Fischer, Nature 600, 647 (2021)
Acknowledgments
This project is supported by the Natural Science Foundation of Guangdong Province of China (Grant No. 2022A1515011578), the Project of Educational Commission of Guangdong Province of China (Grant No. 2021KTSCX064), the Startup Grant at Guangdong Polytechnic Normal University (Grant No. 2021SDKYA117), and the National Natural Science Foundation of China (Grant No. 11704419).
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Luo, M. Tuning the magnetic configuration of bilayer graphene quantum dot by twisting. MRS Bulletin (2023). https://doi.org/10.1557/s43577-023-00608-2
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DOI: https://doi.org/10.1557/s43577-023-00608-2