Spin, charge, and orbital orderings in iron-based superconductors

doi:10.1088/1674-1056/22/8/087402

Abstract In this article, we briefly review spin, charge, and orbital orderings in iron-based superconductors, as well as the multi-orbital models. The interplay of spin, charge, and orbital orderings is a key to understand the high temperature superconductivity. As an illustration, we use the two-orbital model to show the spin and charge orderings in iron-based superconductors based on the mean-field approximation in real space. The typical spin and charge orderings are shown by choosing appropriate parameters, which are in good agreement with experiments. We also show the effect of Fe vacancies, which can introduce the nematic phase and interesting magnetic ground states. The orbital ordering is also discussed in iron-based superconductors. It is found that disorder may play a role to produce the superconductivity.

Keywords: iron-based superconductors multi-orbital models magnetic ordering charge stripe

Received: 14 June 2013
Revised: 23 June 2013
Accepted manuscript online:

PACS:	74.25.-q	(Properties of superconductors)
	74.70.Xa	(Pnictides and chalcogenides)
	74.20.-z	(Theories and models of superconducting state)
	74.25.Ha	(Magnetic properties including vortex structures and related phenomena)

Fund: Project supported by the National Basic Research Program of China (Grant No. 2012CB821400), the National Natural Science Foundation of China (Grant Nos. 11074310 and 11275279), the Specialized Research Fund for the Doctoral Program of Higher Education, China (Grant No. 20110171110026), and the Program for New Century Excellent Talents in University, China (Grant No. NCET-11-0547).

Corresponding Authors: Yao Dao-Xin
E-mail: yaodaoxin@gmail.com

Cite this article:

Jiang Qing (江庆), Kang Yao-Tai (康耀太), Yao Dao-Xin (姚道新) Spin, charge, and orbital orderings in iron-based superconductors 2013 Chin. Phys. B 22 087402

[1]	Kamihara Y, Watanabe T, Hirano M and Hosono H 2008 J. Am. Chem. Soc. 130 3296
[2]	Zhang Y, Yang L X, Xu M, Ye Z R, Chen F, He C, Xu H C, Jiang J, Xie B P, Ying J J, Wang X F, Chen X H, Hu J P, Matsunami M, Kimura S and Feng D L 2011 Nat. Mater. 10 273
[3]	Ding H, Qian T and Wang X P 2011 Physics 40 523 (in Chinese)
[4]	Hoffman J E 2011 Rep. Prog. Phys. 74 124513
[5]	Li W, Ding H, Deng P, Chang K, Song C L, He K, Wang L L, Ma X C, Hu J P, Chen X and Xue Q K 2012 Nat. Phys. 8 126
[6]	Cai P, Ye C, Ruan W, Zhou X D, Wang A F, Zhang M, Chen X H and Wang Y Y 2012 Phys. Rev. B 85 094512
[7]	Zhao J, Adroja D T, Yao D X, Bewley R, Li S L, Wang X F, Wu G, Chen X H, Hu J P and Dai P C 2009 Nat. Phys. 5 555
[8]	Bao W, Huang Q Z, Chen G F, Green M A, Wang D M, He J B and Qiu Y M 2011 Chin. Phys. Lett. 28 086104
[9]	Ye F, Chi S, Bao W, Wang X F, Ying J J, Chen X H, Wang H D, Dong C H and Fang M 2011 Phys. Rev. Lett. 107 137003
[10]	Zhou K J, Huang Y B, Monney C, Dai X, Strocov V N, Wang N L, Chen Z G, Zhang C L, Dai P C, Patthey L, van den Brink J, Ding H and Schmitt T 2013 Nat. Commun. 4 1470
[11]	Hasan M Z, Isaacs E D, Shen Z X, Miller L L, Tsutsui K, Tohyama T and Maekawa S 2000 Science 288 1811
[12]	Zhang X D, Wu W, Zheng P, Wang N L and Luo J L 2012 Chin. Phys. B 21 017402
[13]	Haule K, Shim J H and Kotliar G 2008 Phys. Rev. Lett. 100 226402
[14]	Liu C, Samolyuk G D, Lee Y, Ni N, Kondo T, Santander-Syro A F, Bud'ko S L, McChesney J L, Rotenberg E, Valla T, Fedorov A V, Canfield P C, Harmon B N and Kaminski A 2008 Phys. Rev. Lett. 101 177005
[15]	Borisenko S V, Zabolotnyy V B, Evtushinsky D V, Kim T K, Morozov I V, Yaresko A N, Kordyuk A A, Behr G, Vasiliev A, Follath R and Büchner B 2010 Phys. Rev. Lett. 105 067002
[16]	Sefat A S, Jin R, McGuire M A, Sales B C, Singh D J and Mandrus D 2008 Phys. Rev. Lett. 101 117004
[17]	Rotter M, Tegel M and Johrendt D 2008 Phys. Rev. Lett. 101 177006
[18]	Mazin I I, Singh D J, Johannes M D and Du M H 2008 Phys. Rev. Lett. 101 057003
[19]	Vildosola V, Pourovskii L, Arita R, Biermann S and Georges A 2008 Phys. Rev. B 78 064518
[20]	Seo K, Bernevig B A and Hu J 2008 Phys. Rev. Lett. 101 206404
[21]	Kuroki1 K, Onari S, Arita R, Usui1 H, Tanaka Y, Kontani H and Aoki H 2008 Phys. Rev. Lett. 101 087004
[22]	Wang F and Lee D H 2011 Science 332 200
[23]	Yildirim T 2008 Phys. Rev. Lett. 101 057010
[24]	Ma F, Lu Z Y and Xiang T 2008 Phys. Rev. B 78 224517
[25]	Si Q and Abrahams E 2008 Phys. Rev. Lett. 101 076401
[26]	Yao D X and Carlson E W 2008 Phys. Rev. B 78 052507
[27]	Yao D X and Carlson E W 2010 Front. Phys. China 5 161
[28]	Wang M, Chen F, Yao D X, Tan G T, Harriger L W, Song Y, Netherton T, Zhang C, Wang M, Stone M B, Tian W, Hu J and Dai P 2011 Nat. Commun. 2 580
[29]	Zhao J, Yao D X, Li S, Hong T, Chen Y, Chang S, II R W, Lynn J W, Mook H A, Chen G F, Luo J L, Wang N L, Carlson E W, Hu J and Dai P 2008 Phys. Rev. Lett. 101 167203
[30]	Hu J and Hao N 2012 Phys. Rev. X 2 021009
[31]	Qazilbash M M, Hamlin J J, Baumbach R E, Zhang L, Singh D J, Maple M B and Basov D N 2009 Nat. Phys. 5 647
[32]	Dai J H, Si Q M, Zhu J X and Abrahams E 2009 Proc. Natl. Acad. Sci. USA 11 4118
[33]	Yao D X 2011 Front. Phys. China 6 344
[34]	Guidry M, Sun Y and Wu C L 2009 Front. Phys. China 4 433
[35]	Dai P, Hu J and Dagotto E 2012 Nat. Phys. 8 709
[36]	Hubbard J 1963 Proc. Roy. Soc. A 276 238
[37]	Kou S P, Li T and Weng Z Y 2009 Europhys. Lett. 88 17010
[38]	Yin W G, Lee C C and Ku W 2010 Phys. Rev. Lett. 105 107004
[39]	Raghu S, Qi X L, Liu C X, Scalapino D J and Zhang S C 2008 Phys. Rev. B 77 220503
[40]	Ran Y, Wang F, Zhai H, Vishwanath A and Lee D H 2009 Phys. Rev. B 79 014505
[41]	Lee P A and Wen X G 2008 Phys. Rev. B 78 144517
[42]	Daghofer M, Nicholson A, Moreo A and Dagotto E 2010 Phys. Rev. B 81 014511
[43]	Yu R, Trinh R T, Moreo A, Daghofer M, Riera J A, Haas S and Dagotto E 2009 Phys. Rev. B 79 104510
[44]	Graser S, Maier T A, Hirschfeld P J and Scalapino D J 2009 New J. Phys. 11 025016
[45]	Luo Q L, Martins G, Yao D X, Daghofer M, Yu R, Moreo A and Dagotto E 2010 Phys. Rev. B 82 104508
[46]	Dagotto E, Hotta T and Moreo A 2001 Phys. Rep. 344 1
[47]	Yuan R H, Kong W D, Yan L, Ding H and Wang N L 2013 Phys. Rev. B 87 144517
[48]	Luo Q L, Yao D X, Moreo A and Dagotto E 2011 Phys. Rev. B 83 174513
[49]	Luo Q L, Nicholson A, Riera J, Yao D X, Moreo A and Dagotto E 2011 Phys. Rev. B 84 140506
[50]	Luo Q L, Nicholson A, Rincon J, Liang S H, Riera J, Alvarez G, Wang L M, Ku W, Samolyuk G D, Moreo A and Dagotto E 2013 Phys. Rev. B 87 024404
[51]	Boeri L, Dolgov O V and Golubov A A 2008 Phys. Rev. Lett. 101 026403
[52]	Daghofer M, Moreo A, Riera J A, Arrigoni E, Scalapino D J and Dagotto E 2008 http://dx.doi.org/10.1103/PhysRevB.79.1345022009 Phys. Rev. B 79 134502
[54]	Mou D X, Liu S Y, Jia X W, He J F, Peng Y Y, Zhao L, Yu L, Liu G D, He S L, Dong X L, Zhang J, Wang X D, Dong C H, Fang M H, Wang X Y, Peng Q J, Wang Z M, Zhang S J, Yang F, Xu Z Y, Chen C T and Zhou X J 2011 Phys. Rev. Lett. 106 107001
[55]	Qian T, Wang X P, Jin W C, Zhang P, Richard P, Xu G, Dai X, Fang Z, Guo J G, Chen X L and Ding H 2011 Phys. Rev. Lett. 106 187001
[56]	Shermadini Z, Krzton-Maziopa A, Bendele M, Khasanov R, Luetkens H, Conder K, Pomjakushina E, Weyeneth S, Pomjakushin V, Bossen O and Amato A 2011 Phys. Rev. Lett. 106 117602
[57]	Chen F, Xu M, Ge Q Q, Zhang Y, Ye Z R, Yang L X, Jiang J, Xie B P, Che R C, Zhang M, Wang A F, Chen X H, Shen D W, Hu J P and Feng D L 2011 Phys. Rev. X 1 021020
[58]	Wang X P, Qian T, Richard P, Zhang P, Dong J, Wang H D, Dong C H, Fang M H and Ding H 2011 Europhys. Lett. 93 57001
[59]	Wang K, Lei H and Petrovic C 2011 Phys. Rev. B 83 174503
[60]	Zhao J, Cao H B, Bourret-Courchesne E, Lee D H and Birgeneau R J 2012 Phys. Rev. Lett. 109 267003
[61]	Wang Z, Song Y J, Shi H L, Wang Z W, Chen Z, Tian H F, Chen G F, Guo J G, Yang H X and Li J Q 2011 Phys. Rev. B 84 140505
[62]	Guo J G, Jin S F, Wang G, Wang S C, Zhu K X, Zhou T T, He M and Chen X L 2010 Phys. Rev. B 82 180520
[63]	Krzton-Maziopa A, Shermadini Z, Pomjakushina E, Pomjakushin V, Bendele M, Amato A, Khasanov R, Luetkens H and Conder K 2011 J. Phys.: Condens. Matter 23 052203
[64]	Mou D X, Zhao L and Zhou X J 2011 Front. Phys. China 6 410
[65]	Cao C and Dai J 2011 Phys. Rev. Lett. 107 056401
[66]	Yan X W, Gao M, Lu Z Y and Xiang T 2011 Phys. Rev. Lett. 106 087005
[67]	Ando Y, Segawa K, Komiya S and Lavrov A N 2002 Phys. Rev. Lett. 88 137005
[68]	Hinkov V, Haug D, Fauqué B, Bourges P, Sidis Y, Ivanov A, Bernhard C, Lin C T and Keimer B 2008 Science 319 597
[69]	Howald C, Eisaki H, Kaneko N and Kapitulnik A 2003 Proc. Natl. Acad. Sci. USA 100 9705
[70]	Chuang T M, Allan M P, Lee J, Xie Y, Ni N, Bud'ko S L, Boebinger G S, Canfield P S and Davis J C 2010 Science 327 181
[71]	Fradkin E and Kivelson S A 2010 Science 327 155
[72]	Nambu Y, Ohgushi K, Suzuki S, Du F, Avdeev M, Uwatoko Y, Munakata K, Fukazawa H, Chi S X, Ueda Y and Sato T J 2012 Phys. Rev. B 85 064413
[73]	Caron J M, Neilson J R, Miller D C, Arpino K, Llobet A and McQueen T M 2012 Phys. Rev. B 85 180405
[74]	Shimojima T, Ishizaka K, Ishida Y, Katayama N, Ohgushi K, Kiss T, Okawa M, Togashi T, Wang X Y, Chen C T, Watanabe S, Kadota R, Oguchi T, Chainani A and Shin S 2010 Phys. Rev. Lett. 104 057002
[75]	Yi M, Lu D, Chu J H, Analytis J G, Sorini A P, Kemper A F, Moritz B, Mo S K, Moore R G, Hashimoto M, Lee W S, Hussain Z, Devereaux T P, Fisher I R and Shen Z X 2010 Proc. Natl. Acad. Sci. USA 108 6878
[76]	Daghofer M, Luo Q L, Yu R, Yao D X, Moreo A and Dagotto E 2010 Phys. Rev. B 81 180514
[77]	Su Y and Li T 2013 arXiv: 1303.7302
[78]	Kubo K and Thalmeier P 2009 J. Phys. Soc. Jpn. 78 083704

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