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Importance of bond exchange in MnC structural stability and half-metallic ferromagnetism: A comprehensive benchmark density functional study

Abdesalem Houari1,* and Peter E. Blöchl2

  • *Contact author: abdeslam.houari@univ-bejaia.dz

Phys. Rev. B 113, 205102 – Published 1 May, 2026

DOI: https://doi.org/10.1103/kvjw-9yjc

Abstract

Recently, the first successful synthesis of bulk manganese monocarbide (MnC) has been reported. The compound crystallizes in the zinc-blende structure and has been proposed as a potential superhard material. In this work, we present a comprehensive first-principles study of the structural, electronic, and magnetic properties of MnC using several exchange-correlation approximations. We demonstrate that the SCAN meta-GGA (generalized gradient approximation)  and the Perdew-Burke-Ernzerhof zero revised (PBE0r) hybrid functional outperform GGA–Perdew-Burke-Ernzerhof for solids (PBEsol), Heyd-Scuseria-Ernzerhof 2006 (HSE06), and the mean-field density functional theory [(DFT)]+U+V schemes in correctly predicting the experimentally observed zinc-blende structure as the ground state. Our analysis reveals that the bond-exchange interaction plays a decisive role in stabilizing this phase. At theoretical equilibrium, hybrid functionals (PBE0r and HSE06) predict a metallic ground state, whereas semilocal functionals (PBEsol and SCAN) and DFT+U+V yield two distinct types of half-metallic ferromagnetism with opposite volume dependence, opening a debate on the origin and nature of this behavior. If confirmed experimentally, such a property would make MnC an attractive candidate for spintronic applications.

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References (107)

  1. J. H. de Boer and E. J. W. Verwey, Semi-conductors with partially and with completely filled 3d-lattice bands, Proc. Phys. Soc. 49, 59 (1937).
  2. N. F. Mott and R. Peierls, Discussion of the paper by de Boer and Verwey, Proc. Phys. Soc. 49, 72 (1937).
  3. A. Fujimori and F. Minami, Valence-band photoemission and optical absorption in nickel compounds, Phys. Rev. B 30, 957 (1984).
  4. G. A. Sawatzky and J. W. Allen, Magnitude and origin of the band gap in NiO, Phys. Rev. Lett. 53, 2339 (1984).
  5. J. Zaanen, G. A. Sawatzky, and J. W. Allen, Band gaps and electronic structure of transition-metal compounds, Phys. Rev. Lett. 55, 418 (1985).
  6. A. Leineweber, R. Niewa, H. Jacobs, and W. Kockelmann, The manganese nitrides Mn3N2 and Mn6N(5 + x): Nuclear and magnetic structures, J. Mater. Chem. 10, 2827 (2000).
  7. K. Suzuki, H. Morita, T. Kaneko, H. Yoshida, and H. Fujimori, Crystal structure and magnetic properties of the compound FeN, J. Alloys Compd. 201, 11 (1993).
  8. K. Suzuki, T. Kaneko, H. Yoshida, Y. Obi, H. Fujimori, and H. Morita, Crystal structure and magnetic properties of the compound CoN, J. Alloys Compd. 224, 232 (1995).
  9. K. Suzuki, T. Kaneko, H. Yoshida, Y. Obi, H. Fujimori, and H. Morita, Crystal structure and magnetic properties of the compound MnN, J. Alloys Compd. 306, 66 (2000).
  10. A. Houari, S. F. Matar, and M. Belkhir, Stability and magnetic properties of Mn-substituted ScN semiconductor from first principles, Comput. Mater. Sci. 43, 392 (2008).
  11. J. A. Chan, J. Z. Liu, H. Raebiger, S. Lany, and A. Zunger, Relative stability, electronic structure, and magnetism of MnN and (Ga, Mn)N alloys, Phys. Rev. B 78, 184109 (2008).
  12. A. Houari, S. F. Matar, M. A. Belkhir, and M. Nakhl, Structural stability and magnetism of FeN from first principles, Phys. Rev. B 75, 064420 (2007).
  13. M. S. Miao and Walter R. L. Lambrecht, Effects of vacancies and impurities on the relative stability of rocksalt and zincblende structures for MnN, Phys. Rev. B 76, 195209 (2007).
  14. H. R. Soni, V. Mankad, S. K. Gupta, and P. K. Jha, A first principles calculations of structural, electronic, magnetic and dynamical properties of mononitrides FeN and CoN, J. Alloys Compd. 522, 106 (2012).
  15. H. Wang and D. S. Xue, Electronic structures and magnetic properties of CoN, NiN and CuN, Chin. Phys. Lett. 21, 2255 (2004).
  16. C. Paduani, Band structure of the mononitrides CoN, NiN and CuN in the zincblende structure, Solid State Commun. 148, 297 (2008).
  17. A. Houari, S. F. Matar, and V. Eyert, Electronic structure and magnetic ordering of NiN and Ni2N from first principles, Electron. Struct. 1, 015002 (2019).
  18. D. J. Singh and B. M. Klein, Electronic structure, lattice stability, and superconductivity of CrC, Phys. Rev. B 46, 14969 (1992).
  19. Q. Wang, K. E. German, A. R. Oganov, H. Dong, O. D. Feya, Y. V. Zubavichush, and V. Y. Murzin, Explaining stability of transition metal carbides - and why TcC does not exist, RSC Adv. 6, 16197 (2016).
  20. J. Häglund, A. Fernandez Guillermet, G. Grimvall, and M. Korling, Theory of bonding in transition-metal carbides and nitrides, Phys. Rev. B 48, 11685 (1993).
  21. G. L. Gutsev, L. Andrews, and C. W. Bauschlicher, Similarities and differences in the structure of 3d-metal monocarbides and monoxides, Theor. Chem. Acc. 109, 298 (2003).
  22. N. J. Szymanski, I. Khatri, J. G. Amar, D. Gall, and S. V. Khare, Unconventional superconductivity in 3d rocksalt transition metal carbides, J. Mater. Chem. C 7, 12619 (2019).
  23. I. Khatri, N. J. Szymanski, B. B. Dumre, J. G. Amar, D. Gall, and S. V. Khare, Correlating structure and orbital occupation with the stability and mechanical properties of 3d transition metal carbides, J. Alloys Compd. 891, 161866 (2022).
  24. D. Djurovic, B. Hallstedt, J. von Appen, and R. Dronskowski, Thermodynamic assessment of the Mn–C system, CALPHAD. Comput. Coupling Phase Diagrams Thermochem. 34, 279 (2010).
  25. A. N. A. Aparajita, N. R. S. Kumar, S. Chandra, S. Amirthapandian, N. V. C. Shekar, and K. Sridhar, High-pressure synthesis of manganese monocarbide: A potential superhard material, Inorg. Chem. 57, 14178 (2018).
  26. E. Sasioglu, I. Galanakis, L. M. Sandratskii, and P. Bruno, Stability of ferromagnetism in the half-metallic pnictides and similar compounds: A first-principles study, J. Phys.: Condens. Matter 17, 3915 (2005).
  27. J. E. Pask, L. H. Yang, C. Y. Fong, W. E. Pickett, and S. Dag, Six low-strain zinc-blende half metals: An ab initio investigation, Phys. Rev. B 67, 224420 (2003).
  28. M. C. Qian, C. Y. Fong, and L. H. Yang, Coexistence of localized magnetic moment and opposite-spin itinerant electrons in MnC, Phys. Rev. B 70, 052404 (2004).
  29. A. Houari and P. E. Blöchl, Density functional study of half-metallicity and spin polarization in Fe1-xTxS2 with T=Mn, J. Phys.: Condens. Matter 30, 305501 (2018).
  30. W. E. Pickett and J. S. Moodera, Half metallic magnets, Phys. Today 54, 39 (2001).
  31. P. Hohenberg and W. Kohn, Inhomogeneous electron gas, Phys. Rev. 136, B864 (1964).
  32. W. Kohn and L. J. Sham, Self-consistent equations including exchange and correlation effects, Phys. Rev. 140, A1133 (1965).
  33. J. P. Perdew and K. Schmidt, Jacob's ladder of density functional approximations for the exchange-correlation energy, AIP Conf. Proc. 577, 1 (2001).
  34. J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996); 78, 1396(E) (1997).
  35. J. P. Perdew, A. Ruzsinszky, G. Csonka, O. A. Vydrov, G. E. Scuseria, L. A. Constantin, X. Zhou, and K. Burke, Restoring the density-gradient expansion for exchange in solids and surfaces, Phys. Rev. Lett. 100, 136406 (2008).
  36. J. P. Perdew, S. Kurth, A. Zupan, and P. Blaha, Accurate density functional with correct formal properties: A step beyond the generalized gradient approximation, Phys. Rev. Lett. 82, 2544 (1999).
  37. J. Tao, J. P. Perdew, V. N. Staroverov, and G. E. Scuseria, Climbing the density functional ladder: Nonempirical meta–generalized gradient approximation designed for molecules and solids, Phys. Rev. Lett. 91, 146401 (2003).
  38. J. P. Perdew, A. Ruzsinszky, G. I. Csonka, L. A. Constantin, and J. Sun, Workhorse semilocal density functional for condensed matter physics and quantum chemistry, Phys. Rev. Lett. 103, 026403 (2009).
  39. Y. Zhao and D. G. Truhlar, A new local density functional for main-group thermochemistry, transition metal bonding, thermochemical kinetics, and noncovalent interactions, J. Chem. Phys. 125, 194101 (2006).
  40. F. Tran and P. Blaha, Accurate band gaps of semiconductors and insulators with a semilocal exchange-correlation potential, Phys. Rev. Lett. 102, 226401 (2009).
  41. J. Sun, A. Ruzsinszky, and J. P. Perdew, Strongly constrained and appropriately normed semilocal density functional, Phys. Rev. Lett. 115, 036402 (2015).
  42. J. Sun, R. C. Remsing, Y. Zhang, Z. Sun, A. Ruzsinszky, H. Peng, Z. Yang, A. Paul, U. Waghmare, X. Wu, M. L. Klein, and J. P. Perdew, Accurate first-principles structures and energies of diversely bonded systems from an efficient density functional, Nat. Chem. 8, 831 (2016).
  43. Y. Zhang, D. A. Kitchaev, J. Yang, T. Chen, S. T. Dacek, R. A. Samiento-Perez, M. A. L. Marques, H. Peng, G. Ceder, J. P. Perdew, and J. Sun, Efficient first-principles prediction of solid stability: Towards chemical accuracy, npj Comput. Mater. 4, 9 (2018).
  44. E. B. Isaacs and C. Wolverton, Performance of the strongly constrained and appropriately normed density functional for solid-state materials, Phys. Rev. Mater. 2, 063801 (2018).
  45. F. Tran, J. Stelzl, and P. Blaha, Rungs 1 to 4 of DFT Jacob's ladder: Extensive test on the lattice constant, bulk modulus, and cohesive energy of solids, J. Chem. Phys. 144, 204120 (2016).
  46. V. Sokolovskiy, D. Baigutlin, O. Miroshkina, and V. Buchelnikov, Meta-GGA SCAN functional in the prediction of ground state properties of magnetic materials: Review of the current state, Metals 13, 728 (2023).
  47. C. Lane, J. W. Furness, I. G. Buda, Y. Zhang, R. S. Markiewicz, B. Barbiellini, J. Sun, and A. Bansil, Antiferromagnetic ground state of La2CuO4: A parameter-free ab initio description, Phys. Rev. B 98, 125140 (2018).
  48. Y. Fu and D. J. Singh, Density functional methods for the magnetism of transition metals: SCAN in relation to other functionals, Phys. Rev. B 100, 045126 (2019).
  49. J. P. Perdew, A. Ruzsinszky, J. Sun, N. K. Nepal, and A. D. Kaplan, Interpretations of ground-state symmetry breaking and strong correlation in wavefunction and density functional theories, Proc. Natl. Acad. Sci. USA 118, e2017850118 (2021).
  50. A. P. Bartok and J. R. Yates, Regularized SCAN functional, J. Chem. Phys. 150, 161101 (2019).
  51. J. W. Furness, A. D. Kaplan, J. Ning, J. P. Perdew, and J. Sun, Accurate and numerically efficient r2 SCAN meta-generalized gradient approximation, J. Phys. Chem. Lett. 11, 8208 (2020).
  52. A. D. J. Becke, A new mixing of Hartree–Fock and local density-functional theories, Chem. Phys. 98, 1372 (1993).
  53. A. D. J. Becke, Density-functional thermochemistry. III. The role of exact exchange, Chem. Phys 98, 5648 (1993).
  54. P. J. Stephens, F. J. Devlin, C. F. Chabalowski, and M. J. Frisch, Ab initio calculation of vibrational absorption and circular-dichroism spectra using density-functional force-fields, J. Phys. Chem. 98, 11623 (1994).
  55. C. Adamo and V. Barone, Toward reliable density functional methods without adjustable parameters: The PBE0 model, J. Chem. Phys. 110, 6158 (1999).
  56. J. P. Perdew, M. Ernzerhof, and K. Burke, Rationale for mixing exact exchange with density functional approximations, J. Chem. Phys. 105, 9982 (1996).
  57. J. Heyd, G. E. Scuseria, and M. Ernzerhof, Hybrid functionals based on a screened Coulomb potential, J. Chem. Phys. 118, 8207 (2003).
  58. J. Heyd, G. E. Scuseria, and M. Ernzerhof, Erratum: Hybrid functionals based on a screened Coulomb potential [J. Chem. Phys. 118, 8207 (2003)], J. Chem. Phys. 124, 219906(E) (2006).
  59. D. Bohm and D. Pines, A collective description of electron interactions: III. Coulomb interactions in a degenerate electron gas, Phys. Rev. 92, 609 (1953).
  60. X. Ren, P. Rinke, C. Joas, and M. Scheffler, Random-phase approximation and its applications in computational chemistry and materials science, J. Mater. Sci. 47, 7447 (2012).
  61. A. V. Krukau, O. A. Vydrov, A. F. Izmaylov, and G. E. Scuseria, Influence of the exchange screening parameter on the performance of screened hybrid functionals, J. Chem. Phys. 125, 224106 (2006).
  62. P. E. Blöchl, Christian F. J. Walther, and T. Pruschke, Method to include explicit correlations into density-functional calculations based on density-matrix functional theory, Phys. Rev. B 84, 205101 (2011).
  63. M. Sotoudeh, S. Rajpurohit, P. E. Blöchl, D. Mierwald, J. Norpoth, V. Roddatis, S. Mildner, B. Kressdorf, B. Ifland, and C. Jooss, Electronic structure of Pr1−xCaxMnO3, Phys. Rev. B 95, 235150 (2017).
  64. A. Houari and F. Benissad, Theoretical study of ternary CoSP semiconductor: A candidate for photovoltaic applications, Adv. Theory Simul. 2, 1900111 (2019).
  65. F. Benissad and A. Houari, Electronic and magnetic properties of transition-metal-doped ScN for spintronics applications, Phys. Status Solidi B 258, 2000241 (2021).
  66. M. Eckhoff, P. E. Blöchl, and J. Behler, Hybrid density functional theory benchmark study on lithium manganese oxides, Phys. Rev. B 101, 205113 (2020).
  67. F. Allaoua and A. Houari, Electronic structure of Mn-doped GeO2 wide gap semiconductor: A hybrid density functional study, J. Phys.: Condens. Matter 38, 055704 (2026).
  68. S. Rajpurohit, V. Vennelakanti, and H. J. Kulik, Improving predictions of spin-crossover complex properties through DFT calculations with a local hybrid functional, J. Phys. Chem. A 128, 9082 (2024).
  69. V. L. Campo and M. Cococcioni, Extended DFT+U+V method with on-site and inter-site electronic interactions, J. Phys.: Condens. Matter 22, 055602 (2010).
  70. V. I. Anisimov, J. Zaanen, and O. K. Andersen, Band theory and Mott insulators: Hubbard U instead of Stoner I, Phys. Rev. B 44, 943 (1991).
  71. A. I. Liechtenstein, V. I. Anisimov, and J. Zaanen, Density-functional theory and strong interactions: Orbital ordering in Mott-Hubbard insulators, Phys. Rev. B 52, R5467 (1995).
  72. S. Dudarev, G. Botton, S. Savrasov, C. Humphreys, and A. Sutton, Electron-energy-loss spectra and the structural stability of nickel oxide: An LSDA+U study, Phys. Rev. B 57, 1505 (1998).
  73. I. Timrov, F. Aquilante, M. Cococcioni, and N. Marzari, Accurate electronic properties and intercalation voltages of olivine-type Li-ion cathode materials from extended Hubbard functionals, Phys. Rev. X Energy 1, 033003 (2022).
  74. O. Gunnarsson, O. K. Andersen, O. Jepsen, and J. Zaanen, Density-functional calculation of the parameters in the Anderson model: Application to Mn in CdTe, Phys. Rev. B 39, 1708 (1989).
  75. M. Hybertsen, M. Schlüter, and N. Christensen, Calculation of Coulomb-interaction parameters for La2CuO4 using a constrained-density-functional approach, Phys. Rev. B 39, 9028 (1989).
  76. O. Gunnarsson, Calculation of parameters in model Hamiltonians, Phys. Rev. B 41, 514 (1990).
  77. M. Springer and F. Aryasetiawan, Frequency-dependent screened interaction in Ni within the random-phase approximation, Phys. Rev. B 57, 4364 (1998).
  78. T. Kotani, Ab initio random-phase-approximation calculation of the frequency-dependent effective interaction between 3d electrons: Ni, Fe, and MnO, J. Phys.: Condens. Matter 12, 2413 (2000).
  79. F. Aryasetiawan, K. Karlsson, O. Jepsen, and U. Scönberger, Calculations of Hubbard U from first-principles, Phys. Rev. B 74, 125106 (2006).
  80. I. Timrov, N. Marzari, and M. Cococcioni, Hubbard parameters from density-functional perturbation theory, Phys. Rev. B 98, 085127 (2018).
  81. I. Timrov, N. Marzari, and M. Cococcioni, Self-consistent Hubbard parameters from density-functional perturbation theory in the ultrasoft and projector-augmented wave formulations, Phys. Rev. B 103, 045141 (2021).
  82. H. Kulik and N. Marzari, A self-consistent Hubbard U density-functional theory approach to the addition-elimination reactions of hydrocarbons on bare FeO+, J. Chem. Phys. 129, 134314 (2008).
  83. P. O. Löwdin, On the non-orthogonality problem connected with the use of atomic wave functions in the theory of molecules and crystals, J. Chem. Phys. 18, 365 (1950).
  84. Y. C. Wang, Z. H. Chen, and H. Jiang, The local projection in the density functional theory plus U approach: A critical assessment, J. Chem. Phys. 144, 144106 (2016).
  85. V. I. Anisimov, I. V. Solovyev, M. A. Korotin, M. T. Czyżyk, and G. A. Sawatzky, Density-functional theory and NiO photoemission spectra, Phys. Rev. B 48, 16929 (1993).
  86. M. T. Czyżyk and G. A. Sawatzky, Local-density functional and on-site correlations: The electronic structure of La2CuO4 and LaCuO3, Phys. Rev. B 49, 14211 (1994).
  87. I. V. Solovyev, P. H. Dederichs, and V. I. Anisimov, Corrected atomic limit in the local-density approximation and the electronic structure of d impurities in Rb, Phys. Rev. B 50, 16861 (1994).
  88. P. Giannozzi et al., QUANTUM ESPRESSO: A modular and open-source software project for quantum simulations of materials, J. Phys.: Condens. Matter 21, 395502 (2009).
  89. P. Giannozzi et al., Advanced capabilities for materials modelling with quantum espresso, J. Phys.: Condens. Matter 29, 465901 (2017).
  90. P. Giannozzi et al., quantum espresso toward the exascale, J. Chem. Phys. 152, 154105 (2020).
  91. P. E. Blöchl, Projector augmented-wave method, Phys. Rev. B 50, 17953 (1994).
  92. A. Dal Corso, Pseudopotentials periodic table: From H to Pu, Computational Materials Science 95, 337 (2014).
  93. M. van Setten, M. Giantomassi, E. Bousquet, M. Verstraete, D. Hamann, X. Gonze, and G. M. Rignanese, The pseudodojo: Training and grading a 85 element optimized norm-conserving pseudopotential table, Comput. Phys. Commun. 226, 39 (2018).
  94. I. Timrov, N. Marzari, and M. Cococcioni, HP - A code for the calculation of Hubbard parameters using density-functional perturbation theory, Comput. Phys. Commun. 279, 108455 (2022).
  95. I. Mayer, On Löwdin's method of symmetric orthogonalization, Int. J. Quantum Chem. 90, 63 (2002).
  96. H. J. Monkhorst and J. D. Pack, Special points for Brillouin-zone integrations, Phys. Rev. B 13, 5188 (1976).
  97. N. Marzari, D. Vanderbilt, A. De Vita, and M. Payne, Thermal contraction and disordering of the Al(110) surface, Phys. Rev. Lett. 82, 3296 (1999).
  98. P. E. Blöchl, O. Jepsen, and O. K. Andersen, Improved tetrahedron method for Brillouin-zone integrations, Phys. Rev. B 49, 16223 (1994).
  99. https://cppaw.org.
  100. R. Car and M. Parrinello, Unified approach for molecular dynamics and density-functional theory, Phys. Rev. Lett. 55, 2471 (1985).
  101. N. D. Mermin, Thermal properties of the inhomogeneous electron gas, Phys. Rev. 137, A1441 (1965).
  102. F. Birch, Finite elastic strain of cubic crystals, Phys. Rev. 71, 809 (1947).
  103. H. M. Hong, Y. J. Kang, J. Kang, E. C. Lee, Y. H. Kim, and K. J. Chang, Effect of chemical bonding on the magnetic stability and magnetic moment in Mn-based binary compounds, Phys. Rev. B 72, 144408 (2005).
  104. F. Tran, P. Blaha, K. Schwarz, and P. Novak, Hybrid exchange-correlation energy functionals for strongly correlated electrons: Applications to transition-metal monoxides, Phys. Rev. B 74, 155108 (2006).
  105. P. Seth, P. Hansmann, A. van Roekeghem, L. Vaugier, and S. Biermann, Towards a first-principles determination of effective Coulomb interactions in correlated electron materials: Role of intershell interactions, Phys. Rev. Lett. 119, 056401 (2017).
  106. S. Mandal, K. Haule, K. M. Rabe, and D. Vanderbilt, Systematic beyond-DFT study of binary transition metal oxides, npj Comput. Mater. 5, 115 (2019).
  107. X. X. Yu, G. B. Thompson, and C. R. Weinberger, Influence of carbon vacancy formation on the elastic constants and hardening mechanisms in transition metal carbides, J. Eur. Ceram. Soc. 35, 95 (2015).

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