- Open Access
Importance of bond exchange in MnC structural stability and half-metallic ferromagnetism: A comprehensive benchmark density functional study
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 [( 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 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.
Physics Subject Headings (PhySH)
Article Text
References (107)
- J. H. de Boer and E. J. W. Verwey, Semi-conductors with partially and with completely filled -lattice bands, Proc. Phys. Soc. 49, 59 (1937).
- N. F. Mott and R. Peierls, Discussion of the paper by de Boer and Verwey, Proc. Phys. Soc. 49, 72 (1937).
- A. Fujimori and F. Minami, Valence-band photoemission and optical absorption in nickel compounds, Phys. Rev. B 30, 957 (1984).
- G. A. Sawatzky and J. W. Allen, Magnitude and origin of the band gap in NiO, Phys. Rev. Lett. 53, 2339 (1984).
- J. Zaanen, G. A. Sawatzky, and J. W. Allen, Band gaps and electronic structure of transition-metal compounds, Phys. Rev. Lett. 55, 418 (1985).
- A. Leineweber, R. Niewa, H. Jacobs, and W. Kockelmann, The manganese nitrides and (5 + x): Nuclear and magnetic structures, J. Mater. Chem. 10, 2827 (2000).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- H. Wang and D. S. Xue, Electronic structures and magnetic properties of CoN, NiN and CuN, Chin. Phys. Lett. 21, 2255 (2004).
- C. Paduani, Band structure of the mononitrides CoN, NiN and CuN in the zincblende structure, Solid State Commun. 148, 297 (2008).
- A. Houari, S. F. Matar, and V. Eyert, Electronic structure and magnetic ordering of NiN and from first principles, Electron. Struct. 1, 015002 (2019).
- D. J. Singh and B. M. Klein, Electronic structure, lattice stability, and superconductivity of CrC, Phys. Rev. B 46, 14969 (1992).
- 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).
- 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).
- G. L. Gutsev, L. Andrews, and C. W. Bauschlicher, Similarities and differences in the structure of -metal monocarbides and monoxides, Theor. Chem. Acc. 109, 298 (2003).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- W. E. Pickett and J. S. Moodera, Half metallic magnets, Phys. Today 54, 39 (2001).
- P. Hohenberg and W. Kohn, Inhomogeneous electron gas, Phys. Rev. 136, B864 (1964).
- W. Kohn and L. J. Sham, Self-consistent equations including exchange and correlation effects, Phys. Rev. 140, A1133 (1965).
- J. P. Perdew and K. Schmidt, Jacob's ladder of density functional approximations for the exchange-correlation energy, AIP Conf. Proc. 577, 1 (2001).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996); 78, 1396(E) (1997).
- 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).
- 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).
- 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).
- 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).
- 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).
- F. Tran and P. Blaha, Accurate band gaps of semiconductors and insulators with a semilocal exchange-correlation potential, Phys. Rev. Lett. 102, 226401 (2009).
- J. Sun, A. Ruzsinszky, and J. P. Perdew, Strongly constrained and appropriately normed semilocal density functional, Phys. Rev. Lett. 115, 036402 (2015).
- 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).
- 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).
- 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).
- 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).
- 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).
- C. Lane, J. W. Furness, I. G. Buda, Y. Zhang, R. S. Markiewicz, B. Barbiellini, J. Sun, and A. Bansil, Antiferromagnetic ground state of : A parameter-free ab initio description, Phys. Rev. B 98, 125140 (2018).
- 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).
- 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).
- A. P. Bartok and J. R. Yates, Regularized SCAN functional, J. Chem. Phys. 150, 161101 (2019).
- J. W. Furness, A. D. Kaplan, J. Ning, J. P. Perdew, and J. Sun, Accurate and numerically efficient SCAN meta-generalized gradient approximation, J. Phys. Chem. Lett. 11, 8208 (2020).
- A. D. J. Becke, A new mixing of Hartree–Fock and local density-functional theories, Chem. Phys. 98, 1372 (1993).
- A. D. J. Becke, Density-functional thermochemistry. III. The role of exact exchange, Chem. Phys 98, 5648 (1993).
- 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).
- C. Adamo and V. Barone, Toward reliable density functional methods without adjustable parameters: The PBE0 model, J. Chem. Phys. 110, 6158 (1999).
- J. P. Perdew, M. Ernzerhof, and K. Burke, Rationale for mixing exact exchange with density functional approximations, J. Chem. Phys. 105, 9982 (1996).
- J. Heyd, G. E. Scuseria, and M. Ernzerhof, Hybrid functionals based on a screened Coulomb potential, J. Chem. Phys. 118, 8207 (2003).
- 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).
- D. Bohm and D. Pines, A collective description of electron interactions: III. Coulomb interactions in a degenerate electron gas, Phys. Rev. 92, 609 (1953).
- 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).
- 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).
- 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).
- 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 , Phys. Rev. B 95, 235150 (2017).
- A. Houari and F. Benissad, Theoretical study of ternary CoSP semiconductor: A candidate for photovoltaic applications, Adv. Theory Simul. 2, 1900111 (2019).
- F. Benissad and A. Houari, Electronic and magnetic properties of transition-metal-doped ScN for spintronics applications, Phys. Status Solidi B 258, 2000241 (2021).
- M. Eckhoff, P. E. Blöchl, and J. Behler, Hybrid density functional theory benchmark study on lithium manganese oxides, Phys. Rev. B 101, 205113 (2020).
- F. Allaoua and A. Houari, Electronic structure of Mn-doped wide gap semiconductor: A hybrid density functional study, J. Phys.: Condens. Matter 38, 055704 (2026).
- 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).
- V. L. Campo and M. Cococcioni, Extended method with on-site and inter-site electronic interactions, J. Phys.: Condens. Matter 22, 055602 (2010).
- V. I. Anisimov, J. Zaanen, and O. K. Andersen, Band theory and Mott insulators: Hubbard instead of Stoner , Phys. Rev. B 44, 943 (1991).
- 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).
- S. Dudarev, G. Botton, S. Savrasov, C. Humphreys, and A. Sutton, Electron-energy-loss spectra and the structural stability of nickel oxide: An study, Phys. Rev. B 57, 1505 (1998).
- 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).
- 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).
- 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).
- O. Gunnarsson, Calculation of parameters in model Hamiltonians, Phys. Rev. B 41, 514 (1990).
- M. Springer and F. Aryasetiawan, Frequency-dependent screened interaction in Ni within the random-phase approximation, Phys. Rev. B 57, 4364 (1998).
- 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).
- F. Aryasetiawan, K. Karlsson, O. Jepsen, and U. Scönberger, Calculations of Hubbard from first-principles, Phys. Rev. B 74, 125106 (2006).
- I. Timrov, N. Marzari, and M. Cococcioni, Hubbard parameters from density-functional perturbation theory, Phys. Rev. B 98, 085127 (2018).
- 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).
- H. Kulik and N. Marzari, A self-consistent Hubbard density-functional theory approach to the addition-elimination reactions of hydrocarbons on bare , J. Chem. Phys. 129, 134314 (2008).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- P. Giannozzi et al., Advanced capabilities for materials modelling with quantum espresso, J. Phys.: Condens. Matter 29, 465901 (2017).
- P. Giannozzi et al., quantum espresso toward the exascale, J. Chem. Phys. 152, 154105 (2020).
- P. E. Blöchl, Projector augmented-wave method, Phys. Rev. B 50, 17953 (1994).
- A. Dal Corso, Pseudopotentials periodic table: From H to Pu, Computational Materials Science 95, 337 (2014).
- 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).
- 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).
- I. Mayer, On Löwdin's method of symmetric orthogonalization, Int. J. Quantum Chem. 90, 63 (2002).
- H. J. Monkhorst and J. D. Pack, Special points for Brillouin-zone integrations, Phys. Rev. B 13, 5188 (1976).
- 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).
- P. E. Blöchl, O. Jepsen, and O. K. Andersen, Improved tetrahedron method for Brillouin-zone integrations, Phys. Rev. B 49, 16223 (1994).
- https://cppaw.org.
- R. Car and M. Parrinello, Unified approach for molecular dynamics and density-functional theory, Phys. Rev. Lett. 55, 2471 (1985).
- N. D. Mermin, Thermal properties of the inhomogeneous electron gas, Phys. Rev. 137, A1441 (1965).
- F. Birch, Finite elastic strain of cubic crystals, Phys. Rev. 71, 809 (1947).
- 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).
- 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).
- 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).
- 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).
- 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).