[en] We develop the formalism of the macroscopic monopolization—that is, the magnetoelectric monopole moment per unit volume—in periodic solids, and discuss its relationship to the magnetoelectric effect. For the series of lithium transition metal phosphate compounds, we use first-principles density functional theory to calculate the contributions to the macroscopic monopolization from the global distribution of magnetic moments within the unit cell, as well as from the distribution of magnetization around the atomic sites. We find one example within the series (LiMnPO4) that shows a macroscopic monopolization corresponding to a ferromonopolar ordering consistent with its diagonal magnetoelectric response. The other members of the series (LiMPO4, with M=Co, Fe, and Ni) have zero net monopolization but have antiferromonopolar orderings that should lead to q-dependent diagonal magnetoelectric effects.
Disciplines :
Physics
Author, co-author :
Spaldin, Nicola A.
Fechner, Michael
Bousquet, Eric ; Université de Liège - ULiège > Département de physique > Physique théorique des matériaux
Balatsky, Alexander
Nordström, Lars
Language :
English
Title :
Monopole-based formalism for the diagonal magnetoelectric response
Publication date :
2013
Journal title :
Physical Review. B, Condensed Matter and Materials Physics
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Bibliography
H. Schmid, in Introduction to Complex Mediums for Optics and Electromagnetics, edited by, W. S. Weiglhoger, and, A. Lakhtakia, (SPIE Press, Bellingham, WA, 2003), pp. 167-195.
H. Schmid (Kluwer, Dordrecht, 2004), pp. 1-34.
B. B. V. Aken, J. P. Rivera, H. Schmid, and M. Fiebig, Nature (London) NATUAS 0028-0836 10.1038/nature06139 449, 702 (2007). (Pubitemid 47552087)
C. Ederer and N. A. Spaldin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.214404 76, 214404 (2007).
S. W. Lovesey, J. Fernández-Rodríquez, J. A. Blanco, D. S. Sivia, K. S. Knight, and L. Paolasini, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.014409 75, 014409 (2007).
J. Fernández-Rodríquez, V. Scagnoli, C. Mazzoli, F. Fabrizi, S. W. Lovesey, J. A. Blanco, D. S. Sivia, K. S. Knight, F. deBergevin, and L. Paolasini, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.085107 81, 085107 (2010).
V. Scagnoli, U. Staub, Y. Bodenthin, R. A. de Souza, M. Garcia-Fernandez, M. Garganourakis, A. T. Boothroyd, D. Prabhakaran, and S. W. Lovesey, Science SCIEAS 0036-8075 10.1126/science.1201061 332, 696 (2011).
A. Shekhter and C. M. Varma, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.214501 80, 214501 (2009).
R. M. C. Castelnovo and S. L. Sondhi, Nature (London) NATUAS 0028-0836 10.1038/nature06433 451, 42 (2008).
D. J. P. Morris, D. A. Tennant, S. A. Grigera, B. Klemke, C. Castelnovo, R. Moessner, C. Czternasty, M. Meissner, K. C. Rule, J.-U. Hoffmann, Science SCIEAS 0036-8075 10.1126/science.1178868 326, 411 (2009).
K. T. Delaney, M. Mostovoy, and N. A. Spaldin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.157203 102, 157203 (2009).
M. Mostovoy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96. 067601 96, 067601 (2006). (Pubitemid 43271108)
H. Katsura, N. Nagaosa, and A. V. Balatsky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.057205 95, 057205 (2005). (Pubitemid 41506175)
N. A. Spaldin, M. Fiebig, and M. Mostovoy, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/20/43/434203 20, 434203 (2008).
G. van der Laan and B. Thole, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/7/50/028 7, 9947 (1995).
F. Bultmark, F. Cricchio, O. Granas, and L. Nordström, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.035121 80, 035121 (2009).
S. W. Lovesey and V. Scagnoli, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/21/47/474214 21, 474214 (2009).
U. Staub, Y. Bodenthin, C. Piamonteze, M. García-Fernández, V. Scagnoli, M. Garganourakis, S. Koohpayeh, D. Fort, and S. W. Lovesey, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.140410 80, 140410 (2009).
P. D. Visschere, J. Phys. D JPAPBE 0022-3727 10.1088/0022-3727/39/19/022 39, 4278 (2006). (Pubitemid 44418795)
R. Resta, Eur. Phys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/22/2/010 22, 133 (1993).
R. D. King-Smith and D. Vanderbilt, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.47.1651 47, R1651 (1993).
D. Vanderbilt and R. D. King-Smith, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.48.4442 48, 4442 (1993).
D. Vanderbilt, J. Phys. Chem. Solids JPCSAW 0022-3697 10.1016/S0022-3697(99)00273-5 61, 147 (2000).
D. Destenay, Mém. Soc. Roy. Sci. Liège 10, 5 (1950).
R. E. Newnham and M. J. Redman, J. Am. Chem. Soc. 48, 547 (1965).
S. Geller and J. L. Durand, Acta Cryst. ACCRA9 0365-110X 10.1107/S0365110X60002521 13, 325 (1960).
R. P. Santoro and R. E. Newnham, Acta Cryst. ACCRA9 0365-110X 10.1107/S0365110X67000672 22, 344 (1967).
I. Abrahams and K. S. Easson, Acta Crystallogr., Sect. C: Cryst. Struct. Commun. 10.1107/S0108270192013064 49, 925 (1993).
E. Bousquet, N. A. Spaldin, and K. T. Delaney, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.107202 106, 107202 (2011).
A. Scaramucci, E. Bousquet, M. Fechner, M. Mostovoy, and N. A. Spaldin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.197203 109, 197203 (2012).
D. Vaknin, J. L. Zarestky, L. L. Miller, J.-P. Rivera, and H. Schmid, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.65.224414 65, 224414 (2002).
G. Liang, K. Park, J. Li, R. E. Benson, D. Vaknin, J. T. Markert, and M. C. Croft, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.064414 77, 064414 (2008).
R. Toft-Petersen, N. H. Andersen, H. Li, J. Li, W. Tian, S. L. Bud'ko, T. B. S. Jensen, C. Niedermayer, M. Laver, O. Zaharko, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.224415 85, 224415 (2012).
T. Jensen, N. Christensen, M. Kenzelmann, H. Rønnow, C. Niedermayer, N. Andersen, K. Lefmann, J. Schefer, M. von Zimmermann, J. Li, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.092412 79, 092412 (2009).
D. Arčon, A. Zorko, R. Dominko, and Z. Jagličič, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/16/30/014 16, 5531 (2004).
M. Mercier, J. Gareyte, and E. F. Bertaut, Comptes Rendus Hebdomadaires Des Seances De L Academie Des Sciences Serie B 264, 979 (1967).
R. P. Santoro, D. J. Segal, and R. E. Newnham, J. Phys. Chem. Solids JPCSAW 0022-3697 10.1016/0022-3697(66)90097-7 27, 1192 (1966).
M. Mercier, P. Bauer, and B. Fouilleux, Comptes Rendus Hebdomadaires Des Seances De L Academie Des Sciences Serie B 267, 1345 (1968).
J. Li, V. O. Garlea, J. L. Zarestky, and D. Vaknin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.73.024410 73, 024410 (2006). (Pubitemid 43270459)
M. Mercier and P. Bauer, Comptes Rendus Hebdomadaires Des Seances De L Academie Des Sciences Serie B 267, 465 (1968).
G. Kresse and J. Furthmüller, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.54.11169 54, 11169 (1996).
G. Kresse and D. Joubert, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.59.1758 59, 1758 (1999).
http://elk.sourceforge.net.
F. Wilczek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.1799 58, 1799 (1987).
A. M. Essin, J. E. Moore, and D. Vanderbilt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.146805 102, 146805 (2009).
S. W. Lovesey and D. D. Khalyavin, arXiv: 1307.5164.
F. W. Hehl, Y. N. Obukhov, J.-P. Rivera, and H. Schmid, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.022106 77, 022106 (2008). (Pubitemid 351391435)
D. N. Astrov and N. B. Ermakov, J. Exp. Theor. Phys. Lett. 59, 297 (1994).
D. N. Astrov, N. B. Ermakov, A. S. Borovik-Romanov, E. G. Kolevatov, and V. I. Nizhankovskii, J. Exp. Theor. Phys. Lett. JTPLA2 0021-3640 10.1134/1.566976 63, 745 (1996).
I. Dzyaloshinskii, Solid State Commun. SSCOA4 0038-1098 10.1016/0038-1098(92)90236-3 82, 579 (1992).
D. Khomskii, arXiv: 1307.2327.
E. Ascher, Int. J. Magn. 5, 287 (1974).
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