Phys x update

Appl. Phys. Lett. 99, 193104 (2011).Y. Xu, X.B. Chen, J.S. Wang, B.L. Gu, W.H. Duan, Phys. Rev. B 81, 195425 (2010).Z. Huang, T.S. Fisher, J.Y. Murthy, J. Appl. Phys. 108, 094319 (2010).J.W. Jiang, B.S. Wang, J.S. Wang, Appl. Phys. Lett. 98, 113114 (2011).N. Yang, X. Ni, J.-W. Jiang, B. Li, Appl. Phys. Lett. 100, 093107 (2012).D. Frenkel, B. Smit, Understanding Molecular Simulation: From Algorithms to Applications (Academic Press, New York, ed. 2, 2002).F. Hao, D.N. Fang, Z.P. Xu, Appl. Phys. Lett. 99, 041901 (2011).A. Bagri, S.P. Kim, R.S. Ruoff, V.B. Shenoy, Nano Lett. 11, 3917 (2011).A. Cao, J. Qu, J. Appl. Phys. 111, 053529 (2012).X. Li, K. Maute, M.L. Dunn, R. Yang, Phys. Rev. B 81, 245318 (2010).N. Wei, L. Xu, H.-Q. Wang, J.-C. Zheng, Nanotechnology 22, 105705 (2011).S.-K. Chien, Y.-T. Yang, C.O.-K. Chen, Carbon 50, 421 (2012).H. Sevinçli, G. Cuniberti, Phys. Rev. B 81, 113401 (2010).N. Yang, G. Zhang, B.W. Li, Appl. Phys. Lett. 95, 033107 (2009).G. Zhang, H.S. Zhang, Nanoscale 3, 4604 (2011).Q.-X. Pei, Y.-W. Zhang, Z.-D. Sha, V.B. Shenoy, Appl. Phys. Lett. 100, 101901 (2012).J. Lee, V. Varshney, A.K. Roy, J.B. Ferguson, B.L. Farmer, Nano Lett. 12, 3491 (2012).L. Lindsay, D.A. Broido, Phys. Rev. B 81, 205441 (2010).A. Javey, J. Guo, M. Paulsson, Q. Wang, D. Mann, M. Lundstrom, H. Dai, Phys. Rev. Lett. 92, 106804 (2004).J.-Y. Park, S. Rosenblatt, Y. Yaish, V. Sazonova, H. Üstünel, S. Braig, T.A. Arias, P.W. Brouwer, P.L. McEuen, Nano Lett. 4, 517 (2004).M.S. Shur, IEEE Electron Device Lett. 23, 511 (2002).J.

ANID under Grant AFB180001. D.A. acknowledges partial financial support from Fondecyt 1220215 and 1200867.Institutional Review Board StatementNot applicable.Informed Consent StatementNot applicable.Data Availability StatementAll data that support this study are included within the article and in the supplementary file.AcknowledgmentsV.L.C.-S. thanks CEDENNA and the Universidad de Santiago de Chile for hospitality.Conflicts of InterestAuthors declare that they have no competing financial interest or personal relationships that could have appeared to influence the work reported in this paper.AbbreviationsThe following abbreviations are used in this manuscript: DMIDzyaloshinskii–Moriya InteractionSTNOSpin Torque Nano-OscillatorSTTSpin-Transfer TorqueLLGSLandau–Lifshitz–Gilbert–SlonczewskiJElectric Current DensityFFTFast Fourier TransformationSDState DiagramReferencesQi, X.-L.; Zhang, S.-C. The quantum spin Hall effect and topological insulators. Phys. Today 2010, 63, 33. [Google Scholar] [CrossRef] [Green Version]Hasan, M.Z.; Kane, C.L. Colloquium: Topological insulators. Rev. Mod. Phys. 2010, 82, 3045. [Google Scholar] [CrossRef] [Green Version]Qi, X.-L.; Zhang, S.-C. Topological insulators and superconductors. Rev. Mod. Phys. 2011, 83, 1057. [Google Scholar] [CrossRef] [Green Version]Ando, Y. Topological Insulator Materials. J. Phys. Soc. Jpn. 2013, 82, 102001. [Google Scholar] [CrossRef] [Green Version]Teixeira, A.W.; Carvalho-Santos, V.L.; Fonseca, J.M. Effective potential for emergent Majorana fermions in superconductor systems. Phys. Lett. A 2020, 384, 126182. [Google Scholar] [CrossRef] [Green Version]Rajaraman, R. Solitons and Instantons; North-Holland: Amsterdam, The Netherland, 1984. [Google Scholar]Leonov, A.O.; Kézsmárki, I. Asymmetric isolated skyrmions in polar magnets with easy-plane anisotropy. Phys. Rev. B 2017, 96, 014423. [Google Scholar] [CrossRef] [Green Version]Moon, K.-W.; Yoon, J.; Kim, C.; Hwang, C. Existence of in-Plane Magnetic Skyrmion and its Motion under Current Flow. Phys. Rev. Appl. 2019, 12, 064054. [Google Scholar] [CrossRef] [Green Version]Zhang, X.; Xia, J.; Shen, L.; Ezawa, M.; Tretiakov, O.A.; Zhao, G.; Liu, X.; Zhou, Y. Static and dynamic properties of bimerons in a frustrated ferromagnetic monolayer. Phys. Rev. B 2020, 101, 144435. [Google Scholar] [CrossRef]Araújo, A.S.; Lopes, R.J.C.; Carvalho-Santos, V.L.; Pereira, A.R.; Silva, R.L.; Silva, R.C.; Altbir, D. Typical skyrmions versus bimerons: A long-distance competition in ferromagnetic racetracks. Phys. Rev. B 2020, 102, 104409. [Google Scholar] [CrossRef]Bogdanov, A.; Hubert, A. Thermodynamically stable magnetic vortex states in magnetic crystals. J. Magn. Magn. Mater. 1994, 138, 255–269. [Google Scholar] [CrossRef]Kézsmarki, I.; Bordács, S.; Milde, P.; Neuber, E.; Eng, L.M.; White, J.S.;

A.: Quantum protocols for anonymous voting and surveying. Phys. Rev. A 75(1), 012333 (2007)Article ADS Google Scholar Bonanome, M., Buzek, V., Hillery, M., Ziman, M.: Toward protocols for quantum-ensured privacy and secure voting. Phys. Rev. A 84(2), 290–296 (2011)Article Google Scholar Horoshko, D., Kilin, S.: Quantum anonymous voting with anonymity check. Phys. Lett. A 375, 1172–1175 (2011)Article ADS MathSciNet Google Scholar Niu, X.F., Zhang, J.Z., Xie, S.C., Chen, B.Q.: An improved quantum voting scheme. Int. J. Theor. Phys. 57, 3200–3206 (2018)Article Google Scholar Wang, S.L., Zhang, S., Wang, Q., Shi, R.H.: Fault-tolerant quantum anonymous voting protocol. Int. J. Theor. Phys. 58, 1008–1016 (2019)Article Google Scholar Zhang, X., Zhang, J.Z., Xie, S.C.: A secure quantum voting scheme based on quantum group blind signature. Int. J. Theor. Phys. 59, 719–729 (2020)Article ADS MathSciNet Google Scholar Zhou, B.M., Zhang, K.J., Zhang, X., Wang, Q.L.: The cryptanalysis and improvement of a particular quantum voting model. Int. J. Theor. Phys. 59, 1109–1120 (2020)Article MathSciNet Google Scholar Xu, Y.Z., Huang, Y.F., Lu, W., Li, L.Z.: A Quantum Electronic Voting Scheme with d-Level Single Particles. In: Intelligent Computing Methodologies. ICIC. Lecture Notes in Computer Science. pp. 710–715 (2018)Jiang, D.H., Wang, J., Liang, X.Q., Xu, G.B., Qi, H.F.: Quantum voting scheme based on locally indistinguishable orthogonal product states. Int. J. Theor. Phys. 59, 436–444 (2020)Article MathSciNet Google Scholar Lin, S., Guo, G.D., Huang, F., Liu, X.F.: Quantum anonymous ranking based on the Chinese remainder theorem. Phys. Rev. A. 93(1), 012318 (2016)Article ADS Google Scholar Long, G.L., Liu, X.S.:

ReferencesH.O. Pierson, Handbook of Carbon, Graphite, Diamond and Fullerenes: Properties, Processing and Applications (Noyes Publications, Park Ridge, NJ, 1993). Google Scholar M.C. Schabel, J.L. Martins, Phys. Rev. B 46, 7185 (1992).D.W. Bullett, J. Phys. C: Solid State Phys. 8, 2707 (1975).R. Saito, G. Dresselhaus, M.S. Dresselhaus, Physical Properties of Carbon Nanotubes (World Scientific, Singapore, 1998).M. Mohr, J. Maultzsch, E. Dobardži ć, S. Reich, I. Miloševi ć, M. Damnjanovi ć, A. Bosak, M. Krisch, C. Thomsen, Phys. Rev. B 76, 035439 (2007).C. Oshima, T. Aizawa, R. Souda, Y. Ishizawa, Y. Sumiyoshi, Solid State Commun. 65, 1601 (1988).L. Wirtz, A. Rubio, Solid State Commun. 131, 141 (2004).N. Mingo, D.A. Broido, Phys. Rev. Lett. 95, 096105 (2005).D.L. Nika, E.P. Pokatilov, A.S. Askerov, A.A. Balandin, Phys. Rev. B 79, 155413 (2009).V.N. Popov, Phys. Rev. B 66, 153408 (2002).E. Muñoz, J. Lu, B.I. Yakobson, Nano Lett. 10, 1652 (2010).E. Pop, Nano Res. 3, 147 (2010).Z.-Y. Ong, E. Pop, J. Appl. Phys. 108, 103502 (2010).Z.-Y. Ong, E. Pop, J. Shiomi, Phys. Rev. B 84, 165418 (2011).K. Kang, D. Abdula, D.G. Cahill, M. Shim, Phys. Rev. B 81, 165405 (2010).B. Qiu, X. Ruan, Appl. Phys. Lett. 100, 193101 (2012).T. Tohei, A. Kuwabara, F. Oba, I. Tanaka, Phys. Rev. B 73, 064304 (2006).R. Nicklow, N. Wakabayashi, H.G. Smith, Phys. Rev. B 5, 4951 (1972).T. Nihira, T. Iwata, Phys. Rev. B 68, 134305 (2003).L.X. Benedict, S.G. Louie, M.L. Cohen, Solid State Commun. 100, 177 (1996).J. Hone, Top. Appl. Phys. 80, 273 (2001).L.E. Fried, W.M. Howard, Phys. Rev. B 61,