Abstract
The electronic band structure of orthorhombic compound La2CuO4, which is the parent for a number of high-temperature superconductor families, has been calculated in terms of the density functional theory using the WIEN2k program package. Calculations have been performed by means of two exchange-correlation functionals. The former is a sum of the Tran- and Blaha-modified Becke–Johnson exchange potential and correlations in a local approximation, whereas the latter is the Perdew–Burke–Ernzerhof functional. Calculations taking into account spin polarization have shown the presence of an antiferromagnetic ground state in orthorhombic La2CuO4. Using the former functional, the magnetic moment of copper atoms and a semiconductor gap have been found to be MCu = 0.725μB and Eg = 2 eV. The latter has yielded MCu = 0.278μB and Eg = 0. Calculations results for the optical properties of orthorhombic La2CuO4: the electron energy losses, the real part of optical conductivity, and reflection coefficient, are in good agreement with experimental data. The calculated spatial distribution of the charge density in orthorhombic compound La2CuO4 has been analyzed with the aim of finding critical saddle points with parameters making it possible to classify the types of chemical bonds in crystals. The set of critical point parameters for orthorhombic La2CuO4 has turned out to be similar to that previously found by us for tetragonal La2CuO4 and related high temperature superconductors. In particular, the positive sign of the charge density Laplacian at bond critical points indicates the absence of covalent bonding in La2CuO4 according to the chemical bond classification proposed by Bader in his “Quantum Theory of Atoms in Molecules and Crystals.”
REFERENCES
J. G. Bednorz and K. A. Müller, Z. Phys. B 64, 189 (1986).
X. Zhou, W.-S. Lee, M. Imada, et al., Nat. Rev. Phys. 3, 462 (2021).
J. G. Bednorz, M. Takashige, and K. A. Müller, Europhys. Lett. 3, 379 (1987).
J. G. Bednorz, M. Takashige, and K. A. Müller, Mater. Res. Bull. 22, 819 (1987).
J. M. Tarascon, L. H. Greene, W. R. McKinnon, et al., Science (Washington, DC, U. S.) 235, 1373 (1987).
R. J. Cava, R. B. van Dover, B. Battlog, et al., Phys. Rev. Lett. 58, 408 (1987).
F. C. Chou and D. C. Johnston, Phys. Rev. B 54, 572 (1996).
S. A. Kivelson, G. Aeppli, and V. J. Emery, Proc. Natl. Acad. Sci. U. S. A. 98, 11903 (2001).
R. Hord, G. Cordier, K. Hofmann, et al., Z. Anorg. Allgem. Chem. 637, 1114 (2011).
International Tables for Crystallography, Vol. A: Space-Group Symmetry, 5th ed., Ed. by Th. Hahn (Springer, Berlin, 2005).
L. F. Mattheiss, Phys. Rev. Lett. 58, 1028 (1987).
J. Yu, A. F. Freeman, and J.-H. Xu, Phys. Rev. Lett. 58, 1035 (1987).
W. E. Pickett, Rev. Mod. Phys. 61, 433 (1989).
D. Vaknin, S. K. Sinha, D. E. Moncton, et al., Phys. Rev. Lett. 58, 2802 (1987).
K. Yamada, E. Kudo, Y. Endoh, et al., Solid State Commun. 64, 753 (1987).
J. P. Perdew and K. Schmidt, AIP Conf. Proc. 577, 1 (2001).
V. J. Emery, Phys. Rev. Lett. 58, 2794 (1987).
F. C. Zhang and T. M. Rice, Phys. Rev. B 37, 3759 (1988).
V. J. Emery and G. Reiter, Phys. Rev. B 38, 4547 (1988).
I. A. Makarov and S. G. Ovchinnikov, J. Exp. Theor. Phys. 121, 457 (2015).
V. I. Anisimov, J. Zaanen, and O. K. Andersen, Phys. Rev. B 44, 943 (1991).
M. T. Czyzyk and G. A. Sawatzky, Phys. Rev. B 49, 14211 (1994).
J. P. Perdew, A. Ruzsinszky, J. Tao, et al., J. Chem. Phys. 123, 062201 (2005).
J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996).
J. W. Furness, Y. Zhang, C. Lane, et al., Comm. Phys. 1, 11 (2018).
A. D. Becke, J. Chem. Phys. 98, 5648 (1993).
C. Lee, W. Yang, and R. G. Parr, Phys. Rev. B 37, 785 (1988).
J. Heyd, G. E. Scuseria, and M. Ernzerhof, J. Chem. Phys. 118, 8207 (2003).
J. K. Perry, J. Tahir-Kheli, and W. A. Goddart III, Phys. Rev. B 63, 144510 (2001).
P. Rivero, I. de P. R. Moreira, and F. Illeas, Phys. Rev. B 81, 205123 (2010).
C. Lane, J. W. Furness, I. G. Buda, et al., Phys. Rev. B 98, 125140 (2018).
J. Sun, A. Ruzsinszky, and J. P. Perdew, Phys. Rev. Lett. 115, 036402 (2015).
P. Blaha, K. Schwarz, G. K. H. Madsen, et al., WIEN2k, An Augmented Plane Wave + Local Orbitals Program for Calculating Crystal Properties (Vienna Univ. of Technol., Austria, 2021).
P. Blaha, K. Schwarz, F. Tran, et al., J. Chem. Phys. 152, 074101 (2020).
F. Tran and P. Blaha, Phys. Rev. Lett. 102, 226401 (2009).
J. P. Perdew and Y. Wang, Phys. Rev. B 45, 13244 (1992).
H. Dixit, R. Saniz, S. Cottenier, et al., J. Phys.: Condens. Matter 24, 205503 (2012).
D. J. Singh, Phys. Rev. B 82, 205102 (2010).
V. G. Orlov and G. S. Sergeev, Phys. B (Amsterdam, Neth.) 536, 839 (2018).
V. G. Orlov and G. S. Sergeev, J. Magn. Magn. Mater. 475, 627 (2019).
E. A. Kravchenko, V. G. Orlov, and G. S. Sergeev, J. Exp. Theor. Phys. 131, 761 (2020).
R. F. W. Bader, Atoms in Molecules: A Quantum Theory, Vol. 22 of International Series of Monographs on Chemistry (Oxford Sci. Publ., Oxford, 1990).
C. Gatti, Z. Kristallogr. 220, 399 (2005).
The Quantum Theory of Atoms in Molecules. From Solid State to DNA and Drug Design, Ed. by C. F. Matta and R. J. Boyd (Wiley-VCH, Weinheim, 2007).
J. M. Ginger, M. G. Roe, Y. Song, et al., Phys. Rev. B 37, 7506 (1988).
S. Uchida, T. Ido, H. Takagi, et al., Phys. Rev. B 43, 7942 (1991).
M. Terauchi and M. Tanaka, Micron 30, 371 (1999).
M. Hidaka, N. Tokiwa, M. Oda, et al., Phase Trans. 76, 905 (2003).
P. Steiner, J. Albers, V. Kinsinger, et al., Z. Phys. B 66, 275 (1987).
T. Takahashi, F. Maeda, H. Katayama-Yoshida, et al., Phys. Rev. B 37, 9788 (1988).
N. Nucker, J. Fink, B. Renker, et al., Z. Phys. B 67, 9 (1987).
B. Reihl, T. Riesterer, J. G. Bednorz, et al., Phys. Rev. B 35, 8804 (1987).
A. Fujimori, E. Takayama-Muromachi, Y. Uchida, et al., Phys. Rev. B 35, 8814 (1987).
Z.-X. Shen, J. W. Allen, J. J. Yeh, et al., Phys. Rev. B 36, 8414 (1987).
C. Ambrosch-Draxl and J. O. Sofo, Comput. Phys. Commun. 175, 1 (2006).
R. Abt, C. Ambrosch-Draxl, and P. Knoll, Phys. B (Amsterdam, Neth.) 194–196, 1451 (1994).
S. Tajima, H. Ishii, T. Nakahashi, et al., J. Opt. Soc. Am. B 6, 475 (1989).
S. Uchida, T. Ido, H. Takagi, et al., Phys. Rev. B 43, 7942 (1991).
A. Otero-de-la-Roza, E. R. Johnson, and V. Luana, Comput. Phys. Commun. 185, 1007 (2014).
V. G. Orlov and G. S. Sergeev, AIP Adv. 12, 055110 (2022).
V. G. Orlov and G. S. Sergeev, Fiz. Tverd. Tela 64, 1900 (2022).
D. D. Wagman, W. H. Evans, V. B. Parker, et al., J. Phys. Chem. Ref. Data 11 (Suppl. 2) (1982).
T. Timusk and B. Statt, Rep. Prog. Phys. 62, 61 (1999).
M. J. Lawler, K. Fujita, J. Lee, et al., Nature (London, U.K.) 466, 347 (2010).
R. Comin and A. Damascelli, Ann. Rev. Condens. Matter Phys. 7, 369 (2016).
H. Miao, G. Fabbris, R. J. Koch, et al., npj Quantum Mater. 6, 31 (2021).
R. Arpaia, S. Caprara, R. Fumagalli, et al., Science (Washington, DC, U. S.) 365, 906 (2019).
R. Arpaia and G. Chiringhelli, J. Phys. Soc. Jpn. 90, 111005 (2021).
H. C. Robarts, M. Garcia-Fernandez, J. Li, et al., Phys. Rev. B 103, 224427 (2021).
V. G. Orlov, A. A. Bush, S. A. Ivanov, et al., J. Low Temp. Phys. 105, 1541 (1996).
B. O. Wells, R. J. Birgenaeu, F. C. Chou, et al., Z. Phys. B 100, 535 (1996).
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ACKNOWLEDGMENTS
This study was carried out using equipment in the common use center “Complex for Simulating and Processing Data Obtained with the Use of National Research Center Kurchatov Institute Megascience Research Facilities” [72].
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This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.
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Orlov, V.G., Sergeev, G.S. Electronic Band Structure, Antiferromagnetism, and the Nature of Chemical Bonding in La2CuO4. J. Exp. Theor. Phys. 137, 95–103 (2023). https://doi.org/10.1134/S1063776123070051
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DOI: https://doi.org/10.1134/S1063776123070051