Bound in continuum states and induced transparency in mesoscopic demultiplexer with two outputs

doi:10.1088/1674-1056/abad23

摘要/Abstract

Abstract: We investigate the electronic transport in a simple mesoscopic cross structure made of two wires (stubs) grafted at the same point along a quantum waveguide. We show that the structure may exhibit important phenomena such as bound in continuum (BIC) states. These states are transformed into electromagnetically induced transparency (EIT) resonance by detuning slightly the lengths of the stubs. The last phenomenon is used to propose and study a mesoscopic demultiplexer device with an input waveguide and two output waveguides. We give closed-form expressions of the geometrical parameters that allow a selective transfer of a given state in the first waveguide without perturbing the second waveguide. The effect of temperature on the transmission resonances is also examined by using Landauer-Büttiker formula. The analytical results of the dispersion relation and transmission and reflection coefficient are obtained using the Green's function method.

Key words: mesoscopic structure, demultiplexer device, bound states in continuum (BIC), EIT resonance

中图分类号: (Electron states and collective excitations in multilayers, quantum wells, mesoscopic, and nanoscale systems)

73.21.-b

73.63.-b (Electronic transport in nanoscale materials and structures) 73.20.At (Surface states, band structure, electron density of states)

. [J]. 中国物理B, 2020, 29(12): 127301-.

Z Labdouti, T Mrabti, A Mouadili, E H El Boudouti, F Fethi, and B Djafari-Rouhani. Bound in continuum states and induced transparency in mesoscopic demultiplexer with two outputs[J]. Chin. Phys. B, 2020, 29(12): 127301-.

参考文献

[1] Beenakker C W J and van Houten H Solid State Phys. 44 1 DOI: 10.1016/S0081-1947(08)60091-01991
[2] Datta S1995 Electronic Transport in Mesoscopic Systems (Cambridge: Cambridge University Press)
[3] Imry Y2001 Introduction to Mesoscopic Physics (Oxford: Oxford University Press)
[4] Li S, Huang G Y, Guo J K, Kang N, Caroff P and Xu H Q Chin. Phys. B 26 027305 DOI: 10.1088/1674-1056/26/2/0273052017
[5] Pedersen S, Hansen A E, Kristensen A, S?rensen C B and Lindelof P E Phys. Rev. B 61 5457 DOI: 10.1103/PhysRevB.61.54572000
[6] Liu J, Gao W X, Ismail K, Lee K Y, Hong J M and Washburn S Phys. Rev. B 48 15148 DOI: 10.1103/PhysRevB.48.151481993
[7] Fano U Phys. Rev. 124 1866 DOI: 10.1103/PhysRev.124.18661961
[8] Voo K K and S C Chon Phys. Rev. B 72 165307 DOI: 10.1103/PhysRevB.72.1653072005
[9] Wang X Q, Zhang S F, Jiang C, Yi G Y and Gong W J Physica E 104 1 DOI: 10.1016/j.physe.2018.07.0052018
[10] Zhang C X, Ding X H, Wang R, Zhou Y Q and Kong L M Chin. Phys. B 21 034202 DOI: 10.1088/1674-1056/21/3/0342022012
[11] Hsu C W, Zhen B, Stone A D, Joannopoulos J D and Soljacic M Nat. Rev. Mater. 1 16048 DOI: 10.1038/natrevmats.2016.482016
[12] Nakamura H, Hatano N, Garmon S and Petroky T Phys. Rev. Lett. 99 210404 DOI: 10.1103/PhysRevLett.99.2104042007
[13] Ladrón de Guevara M L, Claro F and Orellana P A Phys. Rev. B 67 195335 DOI: 10.1103/PhysRevB.67.1953352003
[14] Moiseyev N Phys. Rev. Lett. 102 167404 DOI: 10.1103/PhysRevLett.102.1674042009
[15] Kobayashi K, Aikawa H, Katsumoto S and Iye Y Phys. Rev. Lett. 88 256806 DOI: 10.1103/PhysRevLett.88.2568062002
[16] Kobayashi K, Aikawa H, Katsumoto S and Iye Y Phys. Rev. B 68 235304 DOI: 10.1103/PhysRevB.68.2353042003
[17] Benjamin C and Jayannavar A.M Phys. Rev. B 68 085325 DOI: 10.1103/PhysRevB.68.0853252003
[18] Kobayashi K, Aikawa H, Sano A, Katsumoto S and Iye Y Phys. Rev. B 70 035319 DOI: 10.1103/PhysRevB.70.0353192004
[19] Johnson A C, Marcus C M, Hanson M P and Gossard A C Phys. Rev. Lett. 93 106803 DOI: 10.1103/PhysRevLett.93.1068032004
[20] Gong W and Jiang C J. Appl. Phys. 106 013710 DOI: 10.1063/1.31590332009
[21] Nakanishi T and Terakura K Phys. Rev. B 69 115307 DOI: 10.1103/PhysRevB.69.1153072004
[22] Ladrón de Guevara M L and Orellana P A Phys. Rev. B 73 205303 DOI: 10.1103/PhysRevB.73.2053032006
[23] Lu H, Lü R and Zhu B F Phys. Rev. B 71 235320 DOI: 10.1103/PhysRevB.71.2353202005
[24] Mrabti T, Labdouti Z, El Abouti O, El Boudouti E H, Fethi F and Djafari-Rouhani B Phys. Lett. A 382 613 DOI: 10.1016/j.physleta.2018.01.0032018
[25] Zhang S, Zhou S, Loy M M T, Wong G K L and Du S Opt. Lett. 36 4530 DOI: 10.1364/OL.36.0045302011
[26] Boller K J, Imamoglu A and Harris S E1991 Phys. Rev. Lett. 66 20
[27] Harris S and Hau L Phys. Rev. Lett. 82 4611 DOI: 10.1103/PhysRevLett.82.46111999
[28] Harris S E Phys. Today 50 36 DOI: /10.1063/1.8818061997
[29] Fleischhauer M, Imamoglu A and Marangos J P Rev. Mod. Phys. 77 633 DOI: 10.1103/RevModPhys.77.6332005
[30] Yang X, Yu M, Kwong D L and Wong C W Phys. Rev. Lett. 102 173902 DOI: 10.1103/PhysRevLett.102.1739022009
[31] Kurter C, Tassin P, Zhang L, Koschny T, Zhuravel A P, Ustinov A V, Anlage SM and Soukoulis C M Phys. Rev. Lett. 107 043901 DOI: 10.1103/PhysRevLett.107.0439012011
[32] Jung H, Jo H, Lee W, Kim B, Choi H, Kang M S and Lee H Adv. Opt. Mater. 7 1801205 DOI: 10.1002/adom.v7.22019
[33] Fan Y, Qiao T, Zhang F, Fu Q, Dong J, Kong B and Li H Sci. Rep. 7 40441 DOI: 10.1038/srep404412017
[34] Manjappa M, Pitchappa P, Singh N, Wang N, Zheludev N I, Lee C and Singh R Nat. Commun. 9 4056 DOI: 10.1038/s41467-018-06360-52018
[35] Han S, Rybin M V, Pitchappa P, Srivastava Y K, Kivshar Y S and Singh R Adv. Opt. Mater. 8 1900959 DOI: 10.1002/adom.v8.32019
[36] Han S, Cong L, Srivastava Y K, Qiang B, Rybin M V, Kumar A, Jain R, Lim W X, Achanta V G, Prabhu S S, Wang Q J, Kivshar Y S and Singh R Adv. Mater. 31 1901921 DOI: 10.1002/adma.v31.372019
[37] Cong L and Singh R Adv. Opt. Mater. 7 1900383 DOI: 10.1002/adom.2019003832019
[38] Tan T C W, Plum E and Singh R Adv. Opt. Mater. 8 1901572 DOI: 10.1002/adom.v8.62020
[39] Al-Wahsh H, El Boudouti E H, Djafari-Rouhani B, Akjouj A, Mrabti T and Dobrzynski L Phys. Rev. B 78 075401 DOI: 10.1103/PhysRevB.78.0754012008
[40] Quotane I, El Boudouti E H and Djafari-Rouhani B Phys. Rev. B 97 024304 DOI: 10.1103/PhysRevB.97.0243042018
[41] Mouadili A, El Boudouti E H, Soltani A, Talbi A, Akjouj A and Djafari-Rouhani B J. Appl. Phys. 113 164101 DOI: 10.1063/1.48026952013
[42] Mouadili A, El Boudouti E H, Soltani A, Talbi A, Djafari-Rouhani B, Akjouj A and Haddadi K J. Phys.: Condens. Matter 26 505901 DOI: 10.1088/0953-8984/26/50/5059012014
[43] Rotter I and Sadreev A F Phys. Rev E 71 046204 DOI: 10.1103/PhysRevE.71.0462042005
[44] Porod W, Shao Z and Lent C S Appl. Phys. Lett. 61 1350 DOI: 10.1063/1.1075881992
[45] Shao Z, Porod W,Lent C S1993 Phys. Rev. B 49 11
[46] Al-Wahsh H, El Boudouti E H, Djafari-Rouhani B, Akjouj A and Dobrzynski L Phys. Rev. B 75 125313 DOI: 10.1103/PhysRevB.75.1253132007
[47] Mrabti T, Labdouti Z, El Boudouti E H, Fethi F, El Abouti O and Djafari-Rouhani B Materials Today: Proceedings 13 1055 DOI: 10.1016/j.matpr.2019.04.0712019
[48] Mrabti T, Labdouti Z, Mouadili A, El Boudouti E H and Djafari-Rouhanid B Physica E 116 113770 DOI: 10.1016/j.physe.2019.1137702020
[49] Dobrzynski L, El Boudouti E H, Akjouj A, Pennec Y, Al-Wahsh H, Levèque G and Djafari-Rouhani B2017 Phononics(Elsevier)
[50] Mouadili A, El Boudouti E H, Soltani A, Talbi A, Haddadi K, Akjouj A and Djafari-Rouhani B J. Phys. D Appl. Phys. 52 075101 DOI: 10.1088/1361-6463/aaf11b2019
[51] Mouadili A, El Boudouti E H, Akjouj A, Al-Wahsh H, Djafari-Rouhani B and Dobrzynski L AIP Advances 9 035011 DOI: 10.1063/1.50803502019
[52] Kucharczyk R, Dobrzynski L, Djafari-Rouhani B and Akjouj A Physica E 24 355 DOI: 10.1016/j.physe.2004.06.0372004
[53] Dobrzynski L, Akjouj A, Djafari-Rouhani B, Vasseur J O, Bouazaoui M, Vilcot J P, Beaurain A and McMurtry S Phys. Rev. E 67 057603 DOI: 10.1103/PhysRevE.67.0576032003
[54] Vasseur J O, Akjouj A, Dobrzynski L, Djafari-Rouhani B and El Boudouti E H Surf. Sci. Rep. 54 1 DOI: 10.1016/j.surfrep.2004.04.0012004
[55] Tan W, Yang C Z, Liu H S, Wang Z G, Lin H Q and Chen H EPL 97 24003 DOI: 10.1209/0295-5075/97/240032012
[56] Raymond Ooi C H and Kam C H Phys. Rev. B 81 195119 DOI: 10.1103/PhysRevB.81.1951192010
[57] Li B B, Xiao Y F, Zou C L, Jiang X F, Liu Y C, Sun F W, Li Y and Gong Q Appl. Phys. Lett. 100 021108 DOI: 10.1063/1.36755712012
[58] Landauer R IBM J. Res. Dev. 1 223 DOI: 10.1147/rd.13.02231957
[59] Büttiker M Phys. Rev. B 38 9375 DOI: 10.1103/PhysRevB.38.93751988
[60] Cassè M, Kvon Z D, Gusev G M, Olshanetskii E B, Litvin L V, Plotnikov A V, Maude D K and Portal J C Phys. Rev. B 62 2624 DOI: 10.1103/PhysRevB.62.26242000
[61] Vargiamidis V and Polatoglou H M Phys. Rev. B 75 153308 DOI: 10.1103/PhysRevB.75.1533082007
[62] Vargiamidis V and Polatoglou H M Phys. Rev. B 74 235323 DOI: 10.1103/PhysRevB.74.2353232006
[63] Mark A R,Wiley P K1989 Nanostructure Physics and Fabrication(London: Academic Press, Inc. LTD)
[64] International Symposium, College Station, Texas, March 13-15, p. 165
[65] Kouwenhoven L P, Hekking F W J, van Wees B J, Harmans C J P M, Timmering C E and Foxon C T Phys. Rev. Lett. 65 361 DOI: 10.1103/PhysRevLett.65.3611990
[66] Deo P S and Jayannavar A M Phys. Rev. B 50 11629 DOI: 10.1103/PhysRevB.50.116291994
[67] Liu C R, Huang L, Luo H and Lai Y C Phys. Rev. Appl. 13 034061 DOI: 10.1103/PhysRevApplied.13.0340612020
[68] Van Wees B J V, Van Houten H, Beenakker C W J, Williamson J G, Kouwen-hoven L P, van der Marel D and Foxon C T Phys. Rev. Lett. 60 848 DOI: 10.1103/PhysRevLett.60.8481988
[69] Debray P, Raichev O E, Vasilopoulos P, Rahman M, Perrin R and Mitchell W C Phys. Rev. B 61 10950 DOI: 10.1103/PhysRevB.61.109502000
[70] Ouisse T2008 Electron Transport in Nanostructures and Mesoscopic Devices(New York: Wiley-ISTE)
[71] Zhu R J. Phys.: Condens. Matter 25 036001 DOI: 10.1088/0953-8984/25/3/0360012012