Propagating surface plasmon polaritons in graphene under applied uniform strain


  • A. Galeana Cinvestav-IPN
  • G. González de la Cruz Cinvestav-IPN



Graphene; strain; optical conductivity; plasmons


In this work, we theoretically investigate the propagation length of plasmon waves in graphene layer under uniform strain surrounded by two dielectric media of dielectric constants ε1 and ε2, respectively. The plasmon losses (plasmon damping), plasmon propagation length and the penetration depth of the electric field associates with the charge fluctuations can be controlled by varying the direction and the strength of the applied strain and the direction of the plasmon wave propagation with respect to the direction of the applied strain. Because strain induces anisotropy in graphene optical conductivity, the strain-dependent orientation plays an important role to manipulate the direction and variations of the graphene plasmon energy, which may be useful to tune graphene properties in plasmonic devices to enhance light-matter interaction.


S. A. Maier, Plasmonics: fundamentals and applications, (Springer, 2007)

D. Fei, Y. Yuanqing, R. A. Deshpande and S. I. Bozhevolnyi, A review of gap-surface plasmon metasurfaces: fundamentals and applications, Nanophotonics 7 (2018) 1129-1156,

X. Han, K. Liu and C. Sun, Plasmonics for biosensing, Materials 12 (2019) 1411,

V. G. Kravets et al., Graphene-protected copper and silver plasmonics, Sci. Rep. 4 (2014) 5517,

Xu Hailin, Wu Leiming, X. Dai, Y. Gao and Y. Xiang, An ultrahigh sensitivity surface plasmon resonance sensor based on graphene-aluminum-graphene sandwich-like structure, Appl. Phys. 120 (2016) 053101,

Y. Feng, Y. Liu and J. Teng, Design of an ultrasensitive SPR biosensor based on a graphene-MoS2 hybrid structure with a MgF2 prism, Apl. Optics 57 (2018) 3639,

P. O. Patil et al., Graphene-based nanocomposites for sensitivity enhancement of surface plasmon resonance sensor for biological and chemical sensing: A review, Biosens Bioelectron 139 (2019) 111324,

S. Huang, C. Song, G. Zhang and H. Yuan, Graphene plasmonics: physics and potential applications, Nanophotonics 6 (2017) 1191,

W. Gong et al., Experimental and theoretical investigation for surface plasmon resonance biosensor based on graphene/Au film/D-POF, Op. Express 27 (2019) 3483,

S. Chen and C. Lin, Figure of merit analysis of graphene-based surface plasmon resonance biosensor for visible and near infrared, Op. Commun. 435 (2019) 102,

S. Chen and C. Lin, Sensitivity analysis of graphene multilayer based surface plasmon resonance biosensor in the ultraviolet, visible and infrared regions, Appl. Phys. A 125 (2019) 230,

H. Vahed H. and C. Nadri, Ultra-sensitive surface plasmon resonance biosensor based on MoS2-graphene hybrid nanostructure with silver metal layer, Opt. Quantum Electronics 51 (2019) 20,

M. Sebek et al., Hybrid plasmonics and two-dimensional materials: theory and applications, J. Mol. Eng. Materials 2 (2020) 20300001,

M. K. Alam et al., Large graphene-induced shift of surfaceplasmon resonances of gold films: effective-medium theory for atomically thin materials, Phys. Rev. B 2 (2020) 012008,

P. Yari, H. Farmani, A. Farmani, A. M. Mosavi, Monitoring biomaterials with light: review of surface plasmon resonance biosensing using two dimensional materials, Preprints (2021) 2021010483,

V. G. Kravets, F. Wu, T. Yu and A. N. Grigorenko, Metaldielectricgraphene hybrid heterostructures with enhanced surface plasmon resonance sensitivity based on amplitude and phase measurements, Plasmonics 17 (2022) 973,

J. Liu, S. Bao and X. Wang, Applications of graphene-based materials in sensors: a review, Micromachines 13 (2022) 184,

M. AlAloul and M. Rasras, Plasmon-enhanced graphene photodetector with CMOS-compatible titanium nitride, J. Op. Soc. Am. B 38 (2021) 602,

L. Cui, J. Wang and M. Mengtao, Graphene plasmon for optoelectronics, Rev. Phys. 6 (2021) 100054,

L. Tao et al., Enhancing light-matter interaction in 2D materials by optical micro/nano architectures for high-performance optoelectronic devices, InfoMat 3 (2021) 36,

M. Oliva-Leyva and G. Naumis, Understanding electron behavior in strained graphene as a reciprocal space distortion, Phys. Rev. B. 88 (2013) 085430,; Effective Dirac Hamiltonian for anisotropic honeycomb lattices: optical properties, Phys. Rev. B. 93 (2016) 035439,

G. G. Naumis, S. Barraza-Lopez, M. Oliva-Leyva and H. Terrones, Electronic and optical properties of strained graphene and other strained 2D materials: a review, Rep. Prog. Phys. 80 (2017) 096501,

F. M. D. Pellegrino, G. G. N. Angilella and R. Pucci, Effect of uniaxial strain on plasmon excitations in graphene, J. Phys. Conf. Ser. 377 (2012) 012083,

D. Dahal, G. Gumbs and D. Huang, Effect of strain on plasmons, screening, and energy loss in graphene/substrate contacts, Phys. Rev. B 98 (2018) 045427,

R. Hayn, T. Wei, V. M. Silkin and J. Van den Brink, Plasmons in anisotropic Dirac systems, Phys. Rev. Mater. 5 (2021) 024201,

C. Lemus, G. Gonzalez de la Cruz, and M. Oliva-Leyva, Effect of uniform strain on graphene surface plasmon excitations, Plasmonics 18 (2023) 727,

Z. Ma et al., Directional control of propagating graphene plasmons by strain engineering, Opt. Mater. Express 12 (2022) 622,

N. D. Mermin, Lindhard dielectric function in the relaxationtime approximation, Phys. Rev. B 1 (1970) 2362,

M. Jablan, H. Buljan and M. Soljačić, Plasmonics in graphene at infra-red frequencies, Phys. Rev. B 80 (2009) 245435,

I.-T. Lin, Y.-P. Lai, K.-H. Wu, and J.-M. Liu, Terahertz optoelectronic property of graphene: substrate-induced effects on plasmonics characteristics, Appl. Sci. 4 (2014) 28,




How to Cite

A. Galeana and G. González de la Cruz, “ Propagating surface plasmon polaritons in graphene under applied uniform strain”, Rev. Mex. Fís., vol. 70, no. 2 Mar-Apr, pp. 020502 1–, Mar. 2024.