Tunable caging of excitation in decorated Lieb-ladder geometry with long-range connectivity

doi:10.1088/1674-1056/acf5ce

中国物理B ›› 2023, Vol. 32 ›› Issue (12): 127201-127201.doi: 10.1088/1674-1056/acf5ce

Tunable caging of excitation in decorated Lieb-ladder geometry with long-range connectivity

Atanu Nandy^†

Department of Physics, Acharya Prafulla Chandra College, New Barrackpore, Kolkata West Bengal-700 131, India

收稿日期:2023-03-26 修回日期:2023-08-06 接受日期:2023-09-01 出版日期:2023-11-14 发布日期:2023-11-27
通讯作者: Atanu Nandy E-mail:atanunandy1989@gmail.com
基金资助:
The author is thankful for the stimulating discussions regarding the results with Dr. Amrita Mukherjee.

Tunable caging of excitation in decorated Lieb-ladder geometry with long-range connectivity

Atanu Nandy^†

Department of Physics, Acharya Prafulla Chandra College, New Barrackpore, Kolkata West Bengal-700 131, India

Received:2023-03-26 Revised:2023-08-06 Accepted:2023-09-01 Online:2023-11-14 Published:2023-11-27
Contact: Atanu Nandy E-mail:atanunandy1989@gmail.com
Supported by:
The author is thankful for the stimulating discussions regarding the results with Dr. Amrita Mukherjee.

摘要/Abstract

摘要： Controlled Aharonov-Bohm caging of wave train is reported in a quasi-one-dimensional version of Lieb geometry with next-nearest-neighbor hopping integral within the tight-binding framework. This longer-wavelength fluctuation is considered by incorporating periodic, quasi-periodic or fractal kind of geometry inside the skeleton of the original network. This invites exotic eigenspectrum displaying a distribution of flat band states. Also a subtle modulation of external magnetic flux leads to a comprehensive control over those non-resonant modes. Real space renormalization group method provides us an exact analytical prescription for the study of such tunable imprisonment of excitation. The non-trivial tunability of external agent is important as well as challenging in the context of experimental perspective.

关键词: caging, flat band, interferometer, renormalization

Abstract: Controlled Aharonov-Bohm caging of wave train is reported in a quasi-one-dimensional version of Lieb geometry with next-nearest-neighbor hopping integral within the tight-binding framework. This longer-wavelength fluctuation is considered by incorporating periodic, quasi-periodic or fractal kind of geometry inside the skeleton of the original network. This invites exotic eigenspectrum displaying a distribution of flat band states. Also a subtle modulation of external magnetic flux leads to a comprehensive control over those non-resonant modes. Real space renormalization group method provides us an exact analytical prescription for the study of such tunable imprisonment of excitation. The non-trivial tunability of external agent is important as well as challenging in the context of experimental perspective.

Key words: caging, flat band, interferometer, renormalization

中图分类号: (Theory of electronic transport; scattering mechanisms)

72.10.-d

72.15.Rn (Localization effects (Anderson or weak localization)) 73.20.At (Surface states, band structure, electron density of states)

Atanu Nandy. Tunable caging of excitation in decorated Lieb-ladder geometry with long-range connectivity[J]. 中国物理B, 2023, 32(12): 127201-127201.

Atanu Nandy. Tunable caging of excitation in decorated Lieb-ladder geometry with long-range connectivity[J]. Chin. Phys. B, 2023, 32(12): 127201-127201.

参考文献

[1] Mukherjee S, Spracklen A, Choudhury D, Goldman N, Öhberg P, Andersson E and Thomson R R 2015 Phys. Rev. Lett. 114 245504
[2] Mukherjee S and Thomson R R 2015 Opt. Lett. 40 5443
[3] Vicencio R A, Cantillano C, Morales-Inostroza L, Real B, Mejía-Cortés C, Weimann S, Szameit A and Molina M I 2015 Phys. Rev. Lett. 114 245503
[4] Anderson P W 1958 Phys. Rev. 109 1492
[5] Bloch I, Dalibard J and Zwerger W 2008 Rev. Mod. Phys. 80 885
[6] Christodoulides D N, Lederer F and Silberberg Y 2003 Nature 424 817
[7] Masumoto N, Kim N Y, Byrnes T, Kusudo K, Löffler A, Höfling S, Forchel A and Yamamoto Y 2012 New J. Phys. 14 065002
[8] Dias R G and Gouveia J D 2015 Sci. Rep. 5 16852
[9] Hyrkäs M, Apaja V and Manninen M 2013 Phys. Rev. A 87 023614
[10] Morales-Inostroza L and Vicencio R A 2016 Phys. Rev. A 94 043831
[11] Ramachandran A, Andreanov A and Flach S 2017 Phys. Rev. B 96 161104
[12] Flach S, Leykam D, Bodyfelt J D, Matthies P and Desyatnikov A S 2014 Europhys. Lett. 105 30001
[13] Bodyfelt J D, Leykam D, Danieli C, Yu X and Flach S 2014 Phys. Rev. Lett. 113 236403
[14] Maimaiti W, Andreanov A, Park H C, Gendelman O and Flach S 2017 Phys. Rev. B 95 115135
[15] Leykam D, Andreanov A and Flach S 2018 Adv. Phys. X 3 1473052
[16] Sutherland B 1986 Phys. Rev. B 34 5208
[17] Goda M, Nishino S and Matsuda H 2006 Phys. Rev. Lett. 96 126401
[18] Chalker J T, Pickles T S and Shukla P 2010 Phys. Rev. B 82 104209
[19] Tasaki H 1992 Phys. Rev. Lett. 69 1608
[20] Maksymenko M, Honecker A, Moessner R, Richter J and Derzhko O 2012 Phys. Rev. Lett. 109 096404
[21] Kauppila V J, Aikebaier F and Heikkilä T T 2016 Phys. Rev. B 93 214505
[22] Peotta S and Törmä P 2015 Nat. Commun. 6 8944
[23] Wang Y F, Gu Z C, Gong C D and Sheng D N 2011 Phys. Rev. Lett. 107 146803
[24] Kusakabe K and Aoki H 1994 Phys. Rev. Lett. 72 144
[25] Mielke A 1992 J. Phys. A: Math. Gen. 25 4335
[26] Lieb E H 1989 Phys. Rev. Lett. 62 1201
[27] Vidal J, Mosseri R and Doucot B 1998 Phys. Rev. Lett. 81 5888
[28] Aharonov Y and Bohm D 1959 Phys. Rev. B 115 485
[29] Washburn S and Webb R A 1986 Adv. Phys. 35 375
[30] Büttiker M, Imry Y and Azbel M Ya 1984 Phys. Rev. A 30 1982
[31] Landauer R and Büttiker M 1985 Phys. Rev. Lett. 54 2049
[32] Levy Yeyati A and Büttiker M 1995 Phys. Rev. B 52 R14360
[33] Yacoby A, Heiblum M, Umansky V, Shtrikman H and Mahalu D 1994 Phys. Rev. Lett. 73 3149
[34] Aharony A, Entin-Wohlman O and Imry Y 2003 Phys. Rev. Lett. 90 156802
[35] Kubo T, Tokusain Y and Tarucha S 2010 J. Phys. A: Math. Theor. 43 354020
[36] Yamamoto M, Takada S, Bäuerle C, Watanabe K, Wieck A D and Tarucha S 2012 Nat. Nanotechol. 7 247
[37] Aharony A, Takada S, Entin-Wohlman O, Yamamoto M and Tarucha S 2014 New J. Phys. 16 083015
[38] Andrade Jr J S, Herrmann H J, Andrade R F S and Silva L R da 2005 Phys. Rev. Lett. 94 018702
[39] Cardoso A L, Andrade R F S and Souza A M C 2008 Phys. Rev. B 78 214202
[40] Lopes A A and Dias R G 2011 Phys. Rev. B 84 085124
[41] Bercioux D, Governale M, Cataudella V and Ramaglia V M 2004 Phys. Rev. Lett. 93 056802
[42] Sil S, Maiti S K and Chakrabarti A 2009 Phys. Rev. B 79 193309
[43] Movilla J L and Planelles J 2011 Phys. Rev. B 84 195110
[44] Aharony A, Tokura Y, Cohen G Z, Entin-Wohlman O and Katsumoto S 2011 Phys. Rev. B 84 035323
[45] Lowdin P O 1963 J. Mol. Spectrosc. 10 12
[46] Lowdin P O 1962 J. Math. Phys. 3 969
[47] Datta S 1997 Electronic Transport in Mesoscopic Systems (Cambridge: Cambridge University Press)
[48] Datta S 2005 Quantum Transport: Atom to Transistor (Cambridge: Cambridge University Press)
[49] Dutta P, Maiti S K and Karmakar S N 2014 AIP Adv. 4 097126
[50] Dutta P, Maiti S K and Karmakar S N 2010 Org. Electron. 11 1120
[51] Dutta P, Maiti S K and Karmakar S N 2013 J. Appl. Phys. 114 034306
[52] Cheung H F, Gefen Y, Riedel E K and Shih W H 1988 Phys. Rev. B 37 6050
[53] Kohmoto M, Sutherland B and Tang C 1987 Phys. Rev. B 35 1020
[54] Nandy A and Chakrabarti A 2015 Phys. Lett. A 379 2876
[55] Pal B, Patra P, Saha J P and Chakrabarti A 2013 Phys. Rev. A 87 023814
[56] Pal B and Chakrabarti A 2012 Phys. Rev. B 85 214203
[57] Southern B W, Kumar A A and Ashraff J A 1983 Phys. Rev. B 28 1785
[58] Nandy A and Chakrabarti A 2016 Phys. Rev. A 93 013807
[59] Nandy A, Pal B and Chakrabarti A 2015 J. Phys.: Condens. Matter 27 125501
[60] Nandy A 2021 Phys. Scr. 96 045802
[61] Hofstadter D R 1976 Phys. Rev. B 14 2239
[62] Gulácsi Z, Kampf A and Vollhardt D 2007 Phys. Rev. Lett. 99 026404
[63] Lopes A A and Dias R G 2011 Phys. Rev. B 84 085124
[64] Lopes A A, António B A Z and Dias R G 2014 Phys. Rev. B 89 235418
[65] Longhi S 2014 Opt. Lett. 39 5892
[66] Zong Y, Xia S, Tang L, Song D, Hu Y, Pei Y, Su J, Li Y and Chen Z 2016 Opt. Express 24 8877
[67] Weimann S, Morales-Inostroza L, Real B, Cantil-lano C, Szameit A and Vicencio R A 2016 Opt. Lett. 41 2414

Tunable caging of excitation in decorated Lieb-ladder geometry with long-range connectivity

Tunable caging of excitation in decorated Lieb-ladder geometry with long-range connectivity

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Chao Zeng(曾超), Yue-Ran Shi(石悦然), Yi-Yi Mao(毛一屹), Fei-Fei Wu(武菲菲), Yan-Jun Xie(谢岩骏), Tao Yuan(苑涛), Han-Ning Dai(戴汉宁), and Yu-Ao Chen(陈宇翱). Observation of flat-band localized state in a one-dimensional diamond momentum lattice of ultracold atoms[J]. 中国物理B, 2024, 33(1): 10303-010303.
[2]	Yu Sun(孙宇), Chang-Wei Sun(孙昌伟), Wei Zhou(周唯), Ran Yang(杨然), Jia-Chen Duan(端家晨), Yan-Xiao Gong(龚彦晓), Ping Xu(徐平), and Shi-Ning Zhu(祝世宁). Degenerate polarization entangled photon source based on a single Ti-diffusion lithium niobate waveguide in a polarization Sagnac interferometer[J]. 中国物理B, 2023, 32(8): 80308-080308.
[3]	Zhao-Kun Yang(杨兆昆), Jing-Rong Wang(王景荣), and Guo-Zhu Liu(刘国柱). Stability of the topological quantum critical point between multi-Weyl semimetal and band insulator[J]. 中国物理B, 2023, 32(5): 56401-056401.
[4]	Xiaoyi Ma(马宵怡), Yufeng Luo(罗宇峰), Mengke Li(李梦可), Wenyan Jiao(焦文艳), Hongmei Yuan(袁红梅), Huijun Liu(刘惠军), and Ying Fang(方颖). Machine learning of the Γ-point gap and flat bands of twisted bilayer graphene at arbitrary angles[J]. 中国物理B, 2023, 32(5): 57306-057306.
[5]	Dangqi Fang(方党旗). First-principles study of the bandgap renormalization and optical property of β-LiGaO₂[J]. 中国物理B, 2023, 32(4): 47101-047101.
[6]	Guohui Kang(康国辉), Jinxia Feng(冯晋霞), Lin Cheng(程琳), Yuanji Li(李渊骥), and Kuanshou Zhang(张宽收). Quantum-enhanced optical precision measurement assisted by low-frequency squeezed vacuum states[J]. 中国物理B, 2023, 32(10): 104204-104204.
[7]	Yue Li(李玥), Panpan Fang(房盼盼), Zhe Wang(王哲), Panpan Zhang(张盼盼), Yuliang Xu(徐玉良), and Xiangmu Kong(孔祥木). Effects of quantum quench on entanglement dynamics in antiferromagnetic Ising model[J]. 中国物理B, 2023, 32(10): 100303-100303.
[8]	Jian-Dong Zhang(张建东) and Shuai Wang(王帅). Tolerance-enhanced SU(1,1) interferometers using asymmetric gain[J]. 中国物理B, 2023, 32(1): 10306-010306.
[9]	Jiecheng Yang(杨杰成), Peiping Zhu(朱佩平), Dong Liang(梁栋), Hairong Zheng(郑海荣), and Yongshuai Ge(葛永帅). X-ray phase-sensitive microscope imaging with a grating interferometer: Theory and simulation[J]. 中国物理B, 2022, 31(9): 98702-098702.
[10]	Jun Yang(杨君), Jian-Heng Huang(黄建衡), Yao-Hu Lei(雷耀虎), Jing-Biao Zheng(郑景标), Yu-Zheng Shan(单雨征), Da-Yu Guo(郭大育), and Jin-Chuan Guo(郭金川). Analysis of period and visibility of dual phase grating interferometer[J]. 中国物理B, 2022, 31(5): 58701-058701.
[11]	Eng Boon Ng and C. H. Raymond Ooi. Measuring gravitational effect of superintense laser by spin-squeezed Bose—Einstein condensates interferometer[J]. 中国物理B, 2022, 31(5): 53701-053701.
[12]	Yi-Cai Zhang(张义财). Wave function collapses and 1/n energy spectrum induced by a Coulomb potential in a one-dimensional flat band system[J]. 中国物理B, 2022, 31(5): 50311-050311.
[13]	Yang Wang(王洋), Pingyu Zhu(朱枰谕), Shichuan Xue(薛诗川), Yingwen Liu(刘英文), Junjie Wu(吴俊杰), Xuejun Yang(杨学军), and Ping Xu(徐平). Improving the spectral purity of single photons by a single-interferometer-coupled microring[J]. 中国物理B, 2022, 31(3): 34210-034210.
[14]	Yong Zhang(张勇), Xinliang Huang(黄新亮), Jinglei Zhang(张警蕾), Wenshuai Gao(高文帅), Xiangde Zhu(朱相德), and Li Pi(皮雳). Intrinsic V vacancy and large magnetoresistance in V_1-δSb₂ single crystal[J]. 中国物理B, 2022, 31(3): 37102-037102.
[15]	Hai-Long Liu(刘海龙), Min-Jie Wang(王敏杰), Jia-Xin Bao(暴佳鑫), Chao Liu(刘超), Ya Li(李雅), Shu-Jing Li(李淑静), and Hai Wang(王海). Passively stabilized single-photon interferometer[J]. 中国物理B, 2022, 31(11): 110306-110306.