Please wait a minute...
Frontiers of Physics

ISSN 2095-0462

ISSN 2095-0470(Online)

CN 11-5994/O4

邮发代号 80-965

2019 Impact Factor: 2.502

Frontiers of Physics  2023, Vol. 18 Issue (3): 33309   https://doi.org/10.1007/s11467-022-1238-2
  本期目录
Spin waves and phase transition on a magnetically frustrated square lattice with long-range interactions
Yuting Tan, Dao-Xin Yao()
State Key Laboratory of Optoelectronic Materials and Technologies, Center for Neutron Science and Technology, Guangdong Provincial Key Laboratory of Magnetoelectric Physics and Devices, School of Physics, Sun Yat-sen University, Guangzhou 510275, China
 全文: PDF(5226 KB)   HTML
Abstract

We investigate the effects of long-range interactions on the spin wave spectra and the competition between magnetic phases on a frustrated square lattice with large spin S. Applying the spin wave theory and assisted with symmetry analysis, we obtain analytical expressions for spin wave spectra of competing Neel and (π, 0) stripe states of systems containing any-order long-range interactions. In the specific case of long-range interactions with power-law decay, we find surprisingly that the staggered long-range interaction suppresses quantum fluctuation and enlarges the ordered moment, especially in the Neel state, and thus extends its phase boundary to the stripe state. Our findings illustrate the rich possibilities of the roles of long-range interactions, and advocate future investigations in other magnetic systems with different structures of interactions.

Key wordsspin wave    phase transition    frustration    square lattice    long-range interaction    antiferromagnet
收稿日期: 2022-09-01      出版日期: 2023-02-02
Corresponding Author(s): Dao-Xin Yao   
 引用本文:   
. [J]. Frontiers of Physics, 2023, 18(3): 33309.
Yuting Tan, Dao-Xin Yao. Spin waves and phase transition on a magnetically frustrated square lattice with long-range interactions. Front. Phys. , 2023, 18(3): 33309.
 链接本文:  
https://academic.hep.com.cn/fop/CN/10.1007/s11467-022-1238-2
https://academic.hep.com.cn/fop/CN/Y2023/V18/I3/33309
Fig.1  
Fig.2  
Fig.3  
Fig.4  
Fig.5  
Fig.6  
Fig.7  
Fig.8  
Fig.9  
1 Dietl T. , Ohno H. , Matsukura F. , Cibert J. , Ferrand D. . Zener model description of ferromagnetism in zinc-blende magnetic semiconductors. Science, 2000, 287(5455): 1019
https://doi.org/10.1126/science.287.5455.1019
2 F. Jalbout A. , Chen H. , L. Whittenburg S. . Monte Carlo simulation on the indirect exchange interactions of Co-doped ZnO film. Appl. Phys. Lett., 2002, 81(12): 2217
https://doi.org/10.1063/1.1508168
3 A. Ruderman M. , Kittel C. . Indirect exchange coupling of nuclear magnetic moments by conduction electrons. Phys. Rev., 1954, 96(1): 99
https://doi.org/10.1103/PhysRev.96.99
4 Kasuya T. . A theory of metallic ferro- and antiferromagnetism on Zener’s model. Prog. Theor. Phys., 1956, 16(1): 45
https://doi.org/10.1143/PTP.16.45
5 Yosida K. . Magnetic properties of Cu−Mn alloys. Phys. Rev., 1957, 106(5): 893
https://doi.org/10.1103/PhysRev.106.893
6 Zener C. . Interaction between the d-shells in the transition metals (II): Ferromagnetic compounds of manganese with perovskite structure. Phys. Rev., 1951, 82(3): 403
https://doi.org/10.1103/PhysRev.82.403
7 W. Anderson P. , Hasegawa H. . Considerations on double exchange. Phys. Rev., 1955, 100(2):
https://doi.org/10.1103/PhysRev.100.675
8 Chen J. , J. Qin H. , Yang F. , Liu J. , Guan T. , M. Qu F. , H. Zhang G. , R. Shi J. , C. Xie X. , L. Yang C. , H. Wu K. , Q. Li Y. , Lu L. . Gate-voltage control of chemical potential and weak antilocalization in Bi2Se3. Phys. Rev. Lett., 2010, 105(17): 176602
https://doi.org/10.1103/PhysRevLett.105.176602
9 J. Kim H. , S. Kim K. , F. Wang J. , A. Kulbachinskii V. , Ogawa K. , Sasaki M. , Ohnishi A. , Kitaura M. , Y. Wu Y. , Li L. , Yamamoto I. , Azuma J. , Kamada M. , Dobrosavljević V. . Topological phase transitions driven by magnetic phase transitions in FexBi2Te3 (0 ≤ x ≤ 0.1) single crystals. Phys. Rev. Lett., 2013, 110(13): 136601
https://doi.org/10.1103/PhysRevLett.110.136601
10 Li B. , Fan Q. , Ji F. , Liu Z. , Pan H. , Qiao S. . Carrier dependent ferromagnetism in chromium doped topological insulator Cry(BixSb1−x)2−yTe3. Phys. Lett. A, 2013, 377(31-33): 1925
https://doi.org/10.1016/j.physleta.2013.05.020
11 J. Zhu J. , X. Yao D. , C. Zhang S. , Chang K. . Electrically controllable surface magnetism on the surface of topological insulators. Phys. Rev. Lett., 2011, 106(9): 097201
https://doi.org/10.1103/PhysRevLett.106.097201
12 M. Zhang G. , H. Su Y. , Y. Lu Z. , Y. Weng Z. , H. Lee D. , Xiang T. . Universal linear-temperature dependence of static magnetic susceptibility in iron pnictides. Europhys. Lett., 2009, 86(3): 37006
https://doi.org/10.1209/0295-5075/86/37006
13 Lv W. , Kruger F. , Phillips P. . Orbital ordering and unfrustrated (π, 0) magnetism from degenerate double exchange in the iron pnictides. Phys. Rev. B, 2010, 82(4): 045125
https://doi.org/10.1103/PhysRevB.82.045125
14 X. Yao D. . Iron-based superconductors: A new family to find the origin of high Tc superconductivity. Front. Phys., 2011, 6(4): 344
https://doi.org/10.1007/s11467-011-0218-8
15 Jiang Q. , T. Kang Y. , X. Yao D. . Spin, charge, and orbital orderings in iron-based superconductors. Chin. Phys. B, 2013, 22(8): 087402
https://doi.org/10.1088/1674-1056/22/8/087402
16 T. Tam Y. , X. Yao D. , Ku W. . Itinerancy-enhanced quantum fluctuation of magnetic moments in iron-based superconductors. Phys. Rev. Lett., 2015, 115(11): 117001
https://doi.org/10.1103/PhysRevLett.115.117001
17 Aoki T. . Spin-wave theory of modified quantum Heisenberg model. J. Phys. Soc. Jpn., 1996, 65: 1430
https://doi.org/10.1143/JPSJ.65.1430
18 Yusuf E. , Joshi A. , Yang K. . Spin waves in antiferromagnetic spin chains with long-range interactions. Phys. Rev. B, 2004, 69(14): 144412
https://doi.org/10.1103/PhysRevB.69.144412
19 Laflorencie N. , Affleck I. , Berciu M. . Critical phenomena and quantum phase transition in long range Heisenberg antiferromagnetic chains. J. Stat. Mech:Theory & Exp., 2005, 12: 12001
https://doi.org/10.1088/1742-5468/2005/12/P12001
20 W. Sandvik A. . Ground states of a frustrated quantum spin chain with long-range interactions. Phys. Rev. Lett., 2010, 104(13): 137204
https://doi.org/10.1103/PhysRevLett.104.137204
21 Yang S.X. Yao D.W. Sandvik A., Deconfined quantum criticality in spin-1/2 chains with long-range interactions, arXiv: 2001.02821 (2020)
22 de la Cruz C. , Huang Q. , W. Lynn J. , Li J. , R. Ii W. , L. Zarestky J. , A. Mook H. , F. Chen G. , L. Luo J. , L. Wang N. , Dai P. . Magnetic order close to superconductivity in the iron-based layered LaO1−xFxFeAs systems. Nature, 2008, 453(7197): 899
https://doi.org/10.1038/nature07057
23 Zhao J. , T. Adroja D. , X. Yao D. , Bewley R. , Li S. , F. Wang X. , Wu G. , H. Chen X. , P. Hu J. , Dai P. . Spin waves and magnetic exchange interactions in CaFe2As2. Nat. Phys., 2009, 5(8): 555
https://doi.org/10.1038/nphys1336
24 Ma F. , Ji W. , Hu J. , Y. Lu Z. , Xiang T. . First-principles calculations of the electronic structure of tetragonal α-FeTe and α-FeSe crystals: Evidence for a bicollinear antiferromagnetic order. Phys. Rev. Lett., 2009, 102(17): 177003
https://doi.org/10.1103/PhysRevLett.102.177003
25 W. Carlson E. , X. Yao D. , K. Campbell D. . Spin waves in striped phases. Phys. Rev. B, 2004, 70(6): 064505
https://doi.org/10.1103/PhysRevB.70.064505
26 A. Ewings R. , G. Perring T. , I. Bewley R. , Guidi T. , J. Pitcher M. , R. Parker D. , J. Clarke S. , T. Boothroyd A. . High-energy spin excitations in BaFe2As2 observed by inelastic neutron scattering. Phys. Rev. B, 2008, 78: 220501(R)
https://doi.org/10.1103/PhysRevB.78.220501
27 X. Yao D. , W. Carlson E. . Magnetic excitations of undoped iron oxypnictides. Front. Phys. China, 2010, 5(2): 166
https://doi.org/10.1007/s11467-009-0075-x
28 Krüger F. , Scheidl S. . Spin dynamics of stripes. Phys. Rev. B, 2003, 67(13): 134512
https://doi.org/10.1103/PhysRevB.67.134512
29 X. Yao D. , W. Carlson E. , K. Campbell D. . Magnetic excitations of stripes near a quantum critical point. Phys. Rev. Lett., 2006, 97(1): 017003
https://doi.org/10.1103/PhysRevLett.97.017003
30 Si Q. , Abrahams E. . Strong correlations and magnetic frustration in the high Tc iron pnictides. Phys. Rev. Lett., 2008, 101(7): 076401
https://doi.org/10.1103/PhysRevLett.101.076401
31 Fang C. , Yao H. , F. Tsai W. , P. Hu J. , A. Kivelson S. . Theory of electron nematic order in LaFeAsO. Phys. Rev. B, 2008, 77(22): 224509
https://doi.org/10.1103/PhysRevB.77.224509
32 Shao H. , Q. Qin Y. , Capponi S. , Chesi S. , Y. Meng Z. , W. Sandvik A. . Nearly deconfined spinon excitations in the square-lattice spin-1/2 Heisenberg antiferromagnet. Phys. Rev. X, 2017, 7(4): 041072
https://doi.org/10.1103/PhysRevX.7.041072
33 Xu Y. , Xiong Z. , Q. Wu H. , X. Yao D. . Spin excitation spectra of the two-dimensional S = 1/2 Heisenberg model with a checkerboard structure. Phys. Rev. B, 2019, 99(8): 085112
https://doi.org/10.1103/PhysRevB.99.085112
34 Yan T. , Jin S. , Xiong Z. , Li J. , X. Yao D. . Magnetic excitations of diagonally coupled checkerboards. Chin. Phys. B, 2021, 30: 107505
https://doi.org/10.1088/1674-1056/ac1b94
35 Huang J. , Liu Z. , Q. Wu H. , X. Yao D. . Ground states and dynamical properties of the S > 1/2 quantum Heisenberg model on the 1/5-depleted square lattice. Phys. Rev. B, 2022, 106(8): 085101
https://doi.org/10.1103/PhysRevB.106.085101
36 K. Fang J. , H. Huang J. , Q. Wu H. , X. Yao D. . Dynamical properties of the Haldane chain with bond disorder. Front. Phys., 2022, 17(3): 33503
https://doi.org/10.1007/s11467-021-1124-3
37 Q. Cheng J. , Li J. , Xiong Z. , Q. Wu H. , W. Sandvik A. , X. Yao D. . Fractional and composite excitations of antiferromagnetic quantum spin trimer chains. npj Quantum Mater., 2022, 7: 3
https://doi.org/10.1038/s41535-021-00416-4
38 X. Yao D. , W. Carlson E. , K. Campbell D. . Magnetic excitations of stripes near a quantum critical point. Phys. Rev. Lett., 2006, 97(1): 017003
https://doi.org/10.1103/PhysRevLett.97.017003
39 X. Yao D. , W. Carlson E. . Incompatibility of modulated checkerboard patterns with the neutron scattering resonance peak in cuprate superconductors. Phys. Rev. B, 2008, 77(2): 024503
https://doi.org/10.1103/PhysRevB.77.024503
40 G. Freeman P. , Enderle M. , M. Hayden S. , D. Frost C. , X. Yao D. , W. Carlson E. , Prabhakaran D. , T. Boothroyd A. . Inward dispersion of the spin excitation spectrum of stripe-ordered La2NiO4+δ. Phys. Rev. B, 2009, 80(14): 144523
https://doi.org/10.1103/PhysRevB.80.144523
41 D. Christianson A. , A. Goremychkin E. , Osborn R. , Rosenkranz S. , D. Lumsden M. , D. Malliakas C. , S. Todorov I. , Claus H. , Y. Chung D. , G. Kanatzidis M. , I. Bewley R. , Guidi T. . Unconventional superconductivity in Ba0.6K0.4Fe2As2 from inelastic neutron scattering. Nature, 2008, 456(7224): 930
https://doi.org/10.1038/nature07625
42 F. Li H. , Broholm C. , Vaknin D. , M. Fernandes R. , L. Abernathy D. , B. Stone M. , K. Pratt D. , Tian W. , Qiu Y. , Ni N. , O. Diallo S. , L. Zarestky J. , L. Bud'ko S. , C. Canfield P. , J. McQueeney R. . Anisotropic and quasipropagating spin excitations in superconducting Ba(Fe0.926Co0.074)2As2. Phys. Rev. B, 2010, 82: 140503(R)
https://doi.org/10.1103/PhysRevB.82.140503
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed