Abstract
We investigate negative refraction directed by chirality under the condition of Raman gain process in Landau level of graphene. The coupling of magnetic dipole transition with an electric dipole transition leads to Raman gain induced chirality and observe negative refraction with positive permeability. The key idea of our system is to avoid absorption and get negative refraction without the need of simultaneous negative permittivity and permeability. We establish that negative index for refraction may be achieved with minimal absorption by using magnetoelectric cross-coupling to couple two mutually interfering Raman transitions via magnetic-dipole transition. Further, we examine the negative refraction via Doppler-broadened medium. Our proposed scheme may use to develop perfect lenses made from negative index materials that may provide a novel technique to resolve nanoscale objects, with far-reaching practical consequences.
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This manuscript has associated data in a data repository. [Authors’ comment: This paper includes all data generated or evaluated during this investigation. All data included in this paper are available upon request by contacting with the corresponding author].
References
V.G. Veselago, Sov. Phys. Usp. 10, 509 (1968)
J.B. Pendry, Phys. Rev. Lett. 85, 3966 (2000)
R.A. Shelby, D.R. Smith, S. Shultz, Science 292, 77 (2001)
A.A. Houck, J.B. Brock, I.L. Chuang, Phys. Rev. Lett. 90, 137401 (2003)
D.R. Smith, N. Kroll, Phys. Rev. Lett. 85, 2933 (2000)
P.V. Parimi, W.T. Lu, P. Vodo, J. Sokoloff, J.S. Derov, S. Sridhar, Phys. Rev. Lett. 92, 127401 (2004)
E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, C.M. Soukoulis, Nature (London) 423, 604 (2003)
T.J. Yen, W.J. Padilla, N. Fang, D.C. Vier, D.R. Smith, J.B. Pendry, D.N. Basov, X. Zhang, Science 303, 1494 (2004)
N. Fang, H. Lee, C. Sun, X. Zhang, Science 308, 534 (2005)
M.S. Rill, C. Plet, M. Thiel, I. Staude, G. Freymann, S. Linden, M. Wegener, Nat. Mater. 7, 543 (2008)
S. Zhang, W. Fan, N.C. Panoiu, K.J. Malloy, R.M. Osgood, S.R.J. Brueck, Phys. Rev. Lett. 95, 137404 (2005)
G. Dolling, M. Wegener, C.M. Soukoulis, S. Linden, Opt. Lett. 32, 53 (2007)
J.B. Pendry, Science 306, 1353 (2004)
J. Kastel, M. Fleischhauer, S.F. Yelin, R.L. Walshworth, Phys. Rev. Lett. 99, 073602 (2007)
J. Kastel, M. Fleischhauer, S.F. Yelin, R.L. Walshworth, Phys. Rev. A 79, 063818 (2009)
D.E. Sikes, D.D. Yavuz, Phys, Rev. A 82, 011806(R) (2010)
L.J. Wang, A. Kuzmich, A. Dogariu, Nature (London) 406, 227 (2000)
A. Dogariu, A. Kuzmich, L.J. Wang, Phys. Rev. A 63, 053806 (2001)
A.A. Sayem, M.M. Rahman, M.R.C. Mahdy, I. Jahangir, M.S. Rahman, Sci. Rep. 6, 25442 (2016)
D. Gong, J. Mei, N. Li, Y. Shi, Mat. Res. Lett. 9, 115803 (2022)
M. Abbas, Rahmatullah, P. Zhang, Eur. Phys. Jr. Plus 138, 59 (2023)
X. Yao, A. Belyanin, Nonlinear optics of graphene in a strong magnetic field. J. Phys. 25, 054203 (2013)
S.K. Lamoreaux, Phys. Rev. Lett. 78, 5 (1997)
U. Mohideen, A. Roy, Phys. Rev. Lett. 81, 4549 (1998)
S.K. Lamoreaux, Rep. Prog. Phys. 68, 201 (2005)
M. Bordag, U. Mohideen, G.L. Klimchitskaya, V.M. Mostepanenko, Phys. Rep. 353, 1 (2002)
J. Yuan, J. Shu, L. Jiang, Opt. Express 28, 5367 (2020)
E.V. Ponizovskaya, A.M. Bratkovsky, Appl. Phys. A 95, 1137 (2009)
D.S.L. Abergel, V.I. Faloo, Phys. Rev. B 75, 155430 (2007)
O. Kocharovskaya, Y. Rostovtsev, M.O. Scully, Phys. Rev. Lett. 86, 628 (2001)
G.S. Agarwal, T.N. Dey, Phys. Rev. A 68, 063816 (2003)
G.S. Agarwal, T.N. Dey, Phys. Rev. A 73, 043809 (2006)
Z. Jiang, E.A. Henriksen, L.C. Tung, Y.J. Wang, M.E. Schwartz, M.Y. Han, P. Kim, H.L. Stormer, Phys. Rev. Lett. 98, 197403 (2007)
S.A. Mikhailov, Phys. Rev. B 79(24), 241309 (2009)
Acknowledgements
F.B. acknowledges the financial support provided by Hubei University of Automotive Technology in the form of a start-up research Grant (BK202212).
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Badshah, F., Zhou, Y., Rahmatullah et al. Negative refraction achieved by inducing chirality in monolayer graphene through Raman gain mechanism. Eur. Phys. J. Plus 138, 985 (2023). https://doi.org/10.1140/epjp/s13360-023-04595-w
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DOI: https://doi.org/10.1140/epjp/s13360-023-04595-w