Hidden Anderson localization in disorder-free Ising–Kondo lattice

doi:10.1088/1674-1056/ab99b0

中国物理B ›› 2020, Vol. 29 ›› Issue (10): 107301-.doi: 10.1088/1674-1056/ab99b0

Wei-Wei Yang(杨薇薇)¹, Lan Zhang(张欄)¹, Xue-Ming Guo(郭雪明)¹, Yin Zhong(钟寅)¹^,†()

收稿日期:2020-02-10 修回日期:2020-06-02 接受日期:2020-06-05 出版日期:2020-10-05 发布日期:2020-10-05
通讯作者: Yin Zhong(钟寅)

Hidden Anderson localization in disorder-free Ising–Kondo lattice

Wei-Wei Yang(杨薇薇), Lan Zhang(张欄), Xue-Ming Guo(郭雪明), and Yin Zhong(钟寅)†

¹ School of Physical Science and Technology & Key Laboratory for Magnetism and Magnetic Materials of the MoE, Lanzhou University, Lanzhou 730000, China

Received:2020-02-10 Revised:2020-06-02 Accepted:2020-06-05 Online:2020-10-05 Published:2020-10-05
Contact: ^†Corresponding author. E-mail: zhongy@lzu.edu.cn
About author:
†Corresponding author. E-mail: zhongy@lzu.edu.cn
* Project supported in part by the National Natural Science Foundation of China (Grant Nos. 11704166, 11834005, and 11874188).

摘要/Abstract

Abstract:

Anderson localization (AL) phenomena usually exist in systems with random potential. However, disorder-free quantum many-body systems with local conservation can also exhibit AL or even many-body localization transition. We show that the AL phase exists in a modified Kondo lattice without external random potential. The density of state, inverse participation ratio and temperature-dependent resistance are computed by classical Monte Carlo simulation, which uncovers an AL phase from the previously studied Fermi liquid and Mott insulator regimes. The occurrence of AL roots from quenched disorder formed by conservative localized moments. Interestingly, a many-body wavefunction is found, which captures elements in all three paramagnetic phases and is used to compute their quantum entanglement. In light of these findings, we expect that the disorder-free AL phenomena can exist in generic translation-invariant quantum many-body systems.

Key words: Anderson localization, Ising-Kondo lattice, many-body wavefunction, quantum entanglement

中图分类号: (Localization effects (Anderson or weak localization))

72.15.Rn

75.30.Mb (Valence fluctuation, Kondo lattice, and heavy-fermion phenomena)

Wei-Wei Yang(杨薇薇), Lan Zhang(张欄), Xue-Ming Guo(郭雪明), Yin Zhong(钟寅). [J]. 中国物理B, 2020, 29(10): 107301-.

Wei-Wei Yang(杨薇薇), Lan Zhang(张欄), Xue-Ming Guo(郭雪明), and Yin Zhong(钟寅)†. Hidden Anderson localization in disorder-free Ising–Kondo lattice[J]. Chin. Phys. B, 2020, 29(10): 107301-.

[1]	Anderson P W 1958 Phys. Rev. B 109 1492 DOI: 10.1103/PhysRev.109.1492
[2]	Lee P A, Ramakrishnan T V 1985 Rev. Mod. Phys. 57 287 DOI: 10.1103/RevModPhys.57.287
[3]	Evers F, Mirlin A D 2008 Rev. Mod. Phys. 80 1355 DOI: 10.1103/RevModPhys.80.1355
[4]	Gornyi I V, Mirlin A D, Polyakov D G 2005 Phys. Rev. Lett. 95 206603 DOI: 10.1103/PhysRevLett.95.206603
[5]	Basko D M, Aleiner I L, Altshuler B L 2006 Ann. Phys. 321 1126 DOI: 10.1016/j.aop.2005.11.014
[6]	Nandkishore R, Huse D A 2015 Annu. Rev. Condens. Matter Phys. 6 15 DOI: 10.1146/annurev-conmatphys-031214-014726
[7]	Abanin D A, Altman E, Bloch I, Serbyn M 2019 Rev. Mod. Phys. 91 021001 DOI: 10.1103/RevModPhys.91.021001
[8]	Antipov A E, Javanmard Y, Ribeiro P, Kirchner S 2016 Phys. Rev. Lett. 117 146601 DOI: 10.1103/PhysRevLett.117.146601
[9]	Gonçalves M, Ribeiro P, Mondaini R, Castro E V 2019 Phys. Rev. Lett. 122 126601 DOI: 10.1103/PhysRevLett.122.126601
[10]	Smith A, Knolle J, Kovrizhin D L, Moessner R 2017 Phys. Rev. Lett. 118 266601 DOI: 10.1103/PhysRevLett.118.266601
[11]	Smith A, Knolle J, Moessner R, Kovrizhin D L 2018 Phys. Rev. B 97 245137 DOI: 10.1103/PhysRevB.97.245137
[12]	Srednicki M 1994 Phys. Rev. E 50 888 DOI: 10.1103/PhysRevE.50.888
[13]	Rigol M, Dunjko V, Olshanii M 2008 Nature 452 854 DOI: 10.1038/nature06838
[14]	Kogut J B 1979 Rev. Mod. Phys. 51 659 DOI: 10.1103/RevModPhys.51.659
[15]	Smith A, Knolle J, Moessner R, Kovrizhin D L 2017 Phys. Rev. Lett. 119 176601 DOI: 10.1103/PhysRevLett.119.176601
[16]	Sikkema A E, Buyers W J L, Affleck I, Gan J 1996 Phys. Rev. B 54 9322 DOI: 10.1103/PhysRevB.54.9322
[17]	Yang W W, Zhao J Z, Luo H G, Zhong Y 2019 Phys. Rev. B 100 045148 DOI: 10.1103/PhysRevB.100.045148
[18]	White S R, Scalapino D J 1998 Phys. Rev. Lett. 80 1272 DOI: 10.1103/PhysRevLett.80.1272
[19]	Lynn J W, Skanthakumar S, Huang Q, Sinha S K, Hossain Z, Gupta L C, Nagarajan R, Godart C 1997 Phys. Rev. B 55 6584 DOI: 10.1103/PhysRevB.55.6584
[20]	Falicov L M, Kimball J C 1969 Phys. Rev. Lett. 22 997 DOI: 10.1103/PhysRevLett.22.997
[21]	Mydosh J A, Oppeneer P M 2011 Rev. Mod. Phys. 83 1301 DOI: 10.1103/RevModPhys.83.1301
[22]	Coleman P 2015 Introduction to Many Body Physics Cambridge Cambridge University Press 486 580
[23]	Si Q, Paschen S 2013 Phys. Stat. Solid. B 250 425 DOI: 10.1002/pssb.201300005
[24]	Coleman P, Nevidomskyy A H 2010 J. Low Temp. Phys. 161 182 DOI: 10.1007/s10909-010-0213-4
[25]	Kitaev A 2003 Ann. Phys. 303 2 DOI: 10.1016/S0003-4916(02)00018-0
[26]	Kitaev A 2006 Ann. Phys. 321 2 DOI: 10.1016/j.aop.2005.10.005
[27]	Maska M M, Czajka K 2006 Phys. Rev. B 74 035109 DOI: 10.1103/PhysRevB.74.035109
[28]	Yunoki S, Hu J, Malvezzi A L, Moreo A, Furukawa N, Dagotto E 1998 Phys. Rev. Lett. 80 845 DOI: 10.1103/PhysRevLett.80.845
[29]	Dagotto E, Yunoki S, Malvezzi A L, Moreo A, Hu J, Capponi S, Poilblanc D, Furukawa N 1998 Phys. Rev. B 58 6414 DOI: 10.1103/PhysRevB.58.6414
[30]	Žonda M, Okamoto J, Thoss M 2019 Phys. Rev. B 100 075124 DOI: 10.1103/PhysRevB.100.075124
[31]	Malmi-Kakkada A N, Valls O T, Dasgupta C 2014 Phys. Rev. B 90 024202 DOI: 10.1103/PhysRevB.90.024202
[32]	Binder K, Young A P 1986 Rev. Mod. Phys. 58 801 DOI: 10.1103/RevModPhys.58.801
[33]	Tran M T 2007 Phys. Rev. B 76 245122 DOI: 10.1103/PhysRevB.76.245122
[34]	Byczuk K, Hofstetter W, Vollhardt D 2010 Int. J. Mod. Phys. B 24 1727 DOI: 10.1142/S0217979210064575
[35]	Dzero M, Sun K, Coleman P, Galitski V 2012 Phys. Rev. B 85 045130 DOI: 10.1103/PhysRevB.85.045130
[36]	Eisert J, Cramer M, Plenio M B 2010 Rev. Mod. Phys. 82 277 DOI: 10.1103/RevModPhys.82.277
[37]	Wolf M M 2006 Phys. Rev. Lett. 96 010404 DOI: 10.1103/PhysRevLett.96.010404
[38]	Gioev D, Klich I 2006 Phys. Rev. Lett. 96 100503 DOI: 10.1103/PhysRevLett.96.100503
[39]	Hubbard J 1959 Phys. Rev. Lett. 3 77 DOI: 10.1103/PhysRevLett.3.77
[40]	Stratonovich R L 1957 Sov. Phys.-Dokl. 2 416 https://ui.adsabs.harvard.edu/abs/1957SPhD....2..416S

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Hidden Anderson localization in disorder-free Ising–Kondo lattice

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