Phase diagram, correlations, and quantum critical point in the periodic Anderson model

doi:10.1088/1674-1056/27/3/037101

Abstract

Periodic Anderson model is one of the most important models in the field of strongly correlated electrons. With the recent developed numerical method density matrix embedding theory, we study the ground state properties of the periodic Anderson model on a two-dimensional square lattice. We systematically investigate the phase diagram away from half filling. We find three different phases in this region, which are distinguished by the local moment and the spin-spin correlation functions. The phase transition between the two antiferromagnetic phases is of first order. It is the so-called Lifshitz transition accompanied by a reconstruction of the Fermi surface. As the filling is close to half filling, there is no difference between the two antiferromagnetic phases. From the results of the spin-spin correlation, we find that the Kondo singlet is formed even in the antiferromagnetic phase.

Keywords: periodic Anderson model Kondo singlet states density matrix embedding theory

Received: 10 November 2017
Revised: 01 December 2017
Accepted manuscript online:

PACS:	71.10.-w	(Theories and models of many-electron systems)
	71.10.Fd	(Lattice fermion models (Hubbard model, etc.))
	71.10.Hf	(Non-Fermi-liquid ground states, electron phase diagrams and phase transitions in model systems)
	75.20.Hr	(Local moment in compounds and alloys; Kondo effect, valence fluctuations, heavy fermions)

Fund:

Project supported by the National Natural Science Foundation of China (Grant No. 11504023).

Corresponding Authors: Qiao-Ni Chen
E-mail: qiaoni@bnu.edu.cn

Cite this article:

Jian-Wei Yang(杨建伟), Qiao-Ni Chen(陈巧妮) Phase diagram, correlations, and quantum critical point in the periodic Anderson model 2018 Chin. Phys. B 27 037101

[1]	Stewart G R 1984 Rev. Mod. Phys. 56 755
[2]	Andres K, Graebner J E and Ott H R 1975 Phys. Rev. Lett. 35 1779
[3]	Thompson J D and Fisk Z 2012 J. Phys. Soc. Jpn. 81 011002
[4]	Van Dyke J S, Massee F, Allan M P, Davis J C S, Petrovic C and Morr D K 2014 Proc. Nat. Acad. Sci. USA 111 11663
[5]	Chen Y, Weng Z F, Michael S, Lu X and Yuan H Q 2016 Chin. Phys. B 25 077401
[6]	Shen B, Yu L, Liu K, Lyu S P, Jia X W, Bauer E D, Thompson J D, Zhang Y, Wang C L, Hu C, Ding Y, Sun X, Hu Y, Liu J, Gao Q, Zhao L, Liu G D, Xu Z Y, Chen C T, Lu Z Y and Zhou X J 2017 Chin. Phys. B 26 077401
[7]	Stewart G R 2001 Rev. Mod. Phys. 73 797
[8]	Anderson P W 1961 Phys. Rev. 124 41
[9]	Shinzaki R, Nasu J and Koga A 2016 J. Phys. Soc. Jpn. 683 012041
[10]	Kubo K 2015 J. Phys. Soc. Jpn. 84 094702
[11]	Watanabe H and Ogata M 2009 J. Phys. Soc. Jpn. 78 024715
[12]	Wysokisnski M M, Abram M and Spalek J 2014 Phys. Rev. B 90 081114
[13]	Vekic M, Cannon J W, Scalapino D J, Scalettar R T and Sugar R L 1995 Phys. Rev. Lett. 74 2367
[14]	Lin H F, Tao H S, Guo W X and Liu W M 2015 Chin. Phys. B 24 057101
[15]	Hu W, Scalettar R T, Huang E W and Moritz B 2017 Phys. Rev. B 95 235122
[16]	Lifshitz I M 1960 Sov. Phys. JETP 11 1130
[17]	Paschen S, Luehmann T, Wirth S, Gegenwart P, Trovarelli O, Geibel C, Steglich F, Coleman P and Si Q 2004 Nature 432 881
[18]	Goh S K, Paglione J, Sutherland M, O'Farrell E C T, Bergemann C, Sayles T A and Maple M B 2008 Phys. Rev. Lett. 101 056402
[19]	Jiao L, Chen Y, Kohama Y, Graf D, Bauer E D, Singleton J, Zhu J X, Weng Z, Pang G, Shang T, Zhang J, Lee H O, Park T, Jaime M, Thompson J D, Steglich F, Si Q and Yuan H Q 2015 Proc. Nat. Acad. Sci. USA 112 673
[20]	Chatterjee S, Ruf J P, Wei H I, Finkelstein K D, Schlom D G and Shen K M 2017 Nat. Commun. 8 852
[21]	Watanabe H and Ogata M 2007 Phys. Rev. Lett. 99 136401
[22]	Li H, Liu Y, Zhang G M and Yu L 2015 J. Phys.:Condens. Matter 27 425601
[23]	Zhang G M, Su Y H and Yu L 2011 Phys. Rev. B 83 033102
[24]	Knizia G and Chan G K 2012 Phys. Rev. Lett. 109 186404
[25]	Booth G H and Chan G K 2015 Phys. Rev. B 91 155107
[26]	Zheng B X and Chan G K 2016 Phys. Rev. B 93 035126
[27]	Zheng B X, Kretchmer J S, Shi H, Zhang S and Chan G K 2017 Phys. Rev. B 95 045103
[28]	Chen Q N, Booth G H, Sharma S, Knizia G and Chan G K 2014 Phys. Rev. B 89 165134
[29]	Sandhoefer B and Chan G K 2016 Phys. Rev. B 94 085115
[30]	Knizia G and Chan G K 2013 J. Chem. Theory Comput. 9 1428
[31]	Sun Q M and Chan G K 2014 J. Chem. Theory Comput. 10 3784
[32]	Wouters S, Jimnez-Hoyos C A, Sun Q M and Chan G K 2016 J. Chem. Theory Comput. 12 2706
[33]	Sharma S and Chan G K 2012 J. Chem. Phys. 136 124121
[34]	Leo L D, Civelli M and Kotliar G 2008 Phys. Rev. B 77 075107

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