Electronic Structure: Basic Theory and Practical Methods
Abstract
The study of the electronic structure of materials is at a momentous stage, with the emergence of computational methods and theoretical approaches. Many properties of materials can now be determined directly from the fundamental equations for the electrons, providing insights into critical problems in physics, chemistry, and materials science. This book provides a unified exposition of the basic theory and methods of electronic structure, together with instructive examples of practical computational methods and real-world applications. Appropriate for both graduate students and practising scientists, this book describes the approach most widely used today, density functional theory, with emphasis upon understanding the ideas, practical methods and limitations. Many references are provided to original papers, pertinent reviews, and widely available books. Included in each chapter is a short list of the most relevant references and a set of exercises that reveal salient points and challenge the reader.
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Two-dimensional tensor-network methods such as PEPS and MERA in principle work for arbitrarily big systems but are biased towards slightly entangled states.
“whereas 2D tensor-network methods (PEPS, MERA) in principle work for arbitrarily big systems (bosonic, and even fermionic [83] or frustrated [84]) but are biased towards slightly entangled states.”
From Can one trust quantum simulators? (2012) · cites this paper as [84]
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Togo, A., Oba, F., & Tanaka, I. (2008) · Physical Review B · doi:10.1103/physrevb.78.134106 · Cited by 5,453 · see citing works
Maximally localized Wannier functions: Theory and applications
Marzari, N., Mostofi, A. A., Yates, J. R., Souza, I., & Vanderbilt, D. (2012) · Reviews of Modern Physics · doi:10.1103/revmodphys.84.1419 · Cited by 3,283 · see citing works
Şahin, H., Cahangirov, S., Topsakal, M., Bekaroglu, E., Aktürk, E., Senger, R. T., & Çiraci, S. (2009) · Physical Review B · doi:10.1103/physrevb.80.155453 · Cited by 2,198 · see citing works
The high-throughput highway to computational materials design
Curtarolo, S., Hart, G. L. W., Nardelli, M. B., Mingo, N., Sanvito, S., & Levy, O. (2013) · Nature Materials · doi:10.1038/nmat3568 · Cited by 2,053 · see citing works
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Fine, G. F., Cavanagh, L. M., Afonja, A., & Binions, R. (2010) · Sensors · doi:10.3390/s100605469 · Cited by 1,481 · see citing works
Ab initiocalculation of ideal strength and phonon instability of graphene under tension
Liu, F., Ming, P., & Li, J. (2007) · Physical Review B · doi:10.1103/physrevb.76.064120 · Cited by 1,451 · see citing works
Orbital-dependent density functionals: Theory and applications
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Emergence of magnetism in graphene materials and nanostructures
Yazyev, O. V. (2010) · Reports on Progress in Physics · doi:10.1088/0034-4885/73/5/056501 · Cited by 1,257 · see citing works
Oxygen Defects and Surface Chemistry of Ceria: Quantum Chemical Studies Compared to Experiment
Paier, J. A., Penschke, C., & Sauer, J. (2013) · Chemical Reviews · doi:10.1021/cr3004949 · Cited by 1,079 · see citing works
Sosso, G. C., Chen, J., Cox, S. J., Fitzner, M., Pedevilla, P., Zen, A., & Michaelides, A. (2016) · Chemical Reviews · doi:10.1021/acs.chemrev.5b00744 · Cited by 975 · see citing works
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Improper ferroelectricity in perovskite oxide artificial superlattices
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Marx, D. (2006) · ChemPhysChem · doi:10.1002/cphc.200600128 · Cited by 920 · see citing works
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Bartók, A. P., De, S., Poelking, C., Bernstein, N., Kermode, J. R., Csányi, G., & Ceriotti, M. (2017) · Science Advances · doi:10.1126/sciadv.1701816 · Cited by 764 · see citing works
Structure of phase III of solid hydrogen
Pickard, C. J., & Needs, R. J. (2007) · Nature Physics · doi:10.1038/nphys625 · Cited by 745 · see citing works
Otani, M., & Sugino, O. (2006) · Physical Review B · doi:10.1103/physrevb.73.115407 · Cited by 740 · see citing works
Berry Phases in Electronic Structure Theory
Vanderbilt, D. H. (2018) · Cambridge University Press eBooks · doi:10.1017/9781316662205 · Cited by 740 · see citing works
Structure prediction drives materials discovery
Оганов, А. Р., Pickard, C. J., Zhu, Q., & Needs, R. J. (2019) · Nature Reviews Materials · doi:10.1038/s41578-019-0101-8 · Cited by 703 · see citing works
Nonlocal van der Waals density functional made simple and efficient
Sabatini, R., Gorni, T., & de Gironcoli, S. (2013) · Physical Review B · doi:10.1103/physrevb.87.041108 · Cited by 717 · see citing works
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Aprà, E., Bylaska, E., De Jong, W., Govind, N., Kowalski, K., Straatsma, T., Valiev, M., Van Dam, H., Alexeev, Y., Anchell, J., et al. (2020) · Civil War Book Review · Cited by 624 · see citing works
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Fan, X., Zheng, W., & Singh, D. J. (2014) · Light Science & Applications · doi:10.1038/lsa.2014.60 · Cited by 623 · see citing works
Mao, J., Liu, Z., Zhou, J., Zhu, H., Zhang, Q., Chen, G., & Ren, Z. (2018) · Advances In Physics · doi:10.1080/00018732.2018.1551715 · Cited by 587 · see citing works
Yang, J., Li, H., Wu, T., Zhang, W., Chen, L., & Yang, J. (2008) · Advanced Functional Materials · doi:10.1002/adfm.200701369 · Cited by 576 · see citing works
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Bonhomme, C., Gervais, C., Babonneau, F., Coelho, C., Pourpoint, F., Azaı̈s, T., Ashbrook, S. E., Griffin, J. M., Yates, J. R., Mauri, F., et al. (2012) · Chemical Reviews · doi:10.1021/cr300108a · Cited by 561 · see citing works
Lejaeghere, K., Speybroeck, V. V., OOST, G. V., & Cottenier, S. (2013) · Critical reviews in solid state and materials sciences/CRC critical reviews in solid state and materials sciences · doi:10.1080/10408436.2013.772503 · Cited by 598 · see citing works
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McMahon, J. M., Morales, M. A., Pierleoni, C., & Ceperley, D. M. (2012) · Reviews of Modern Physics · doi:10.1103/revmodphys.84.1607 · Cited by 532 · see citing works
Dewaele, A., Torrent, M., Loubeyre, P., & Mézouar, M. (2008) · Physical Review B · doi:10.1103/physrevb.78.104102 · Cited by 518 · see citing works
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Alexiadis, A., & Kassinos, S. C. (2008) · Chemical Reviews · doi:10.1021/cr078140f · Cited by 515 · see citing works
Machine learning bandgaps of double perovskites
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Weng, H., Yu, R., Hu, X., Dai, X., & Fang, Z. (2015) · Advances in Physics · doi:10.1080/00018732.2015.1068524 · Cited by 506 · see citing works
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Chan, M. K. Y., & Ceder, G. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.196403 · Cited by 489 · see citing works
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Cheng, Y., Zhu, Z., Tahir, M., et al. (2013) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/102/57001 · Cited by 489 · see citing works
Optical phonons in carbon nanotubes: Kohn anomalies, Peierls distortions, and dynamic effects
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Held, K. (2007) · Advances In Physics · doi:10.1080/00018730701619647 · Cited by 476 · see citing works
Screened hybrid density functionals for solid-state chemistry and physics
Janesko, B. G., Henderson, T. M., & Scuseria, G. E. (2008) · Physical Chemistry Chemical Physics · doi:10.1039/b812838c · Cited by 473 · see citing works
Designing meaningful density functional theory calculations in materials science—a primer
Mattsson, A. E., Schultz, P. A., Desjarlais, M. P., Mattsson, T. R., & Leung, K. (2004) · Modelling and Simulation in Materials Science and Engineering · doi:10.1088/0965-0393/13/1/r01 · Cited by 435 · see citing works
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Golze, D., Dvorak, M., & Rinke, P. (2019) · Frontiers in Chemistry · doi:10.3389/fchem.2019.00377 · Cited by 442 · see citing works
Sosso, G., Chen, J., Cox, S., Fitzner, M., Pedevilla, P., Zen, A., & Michaelides, A. (2016) · UCL Discovery (University College London) · Cited by 449 · see citing works
Ong, S. P., Andreussi, O., Wu, Y., Marzari, N., & Ceder, G. (2011) · Chemistry of Materials · doi:10.1021/cm200679y · Cited by 424 · see citing works
Spectral and Fermi surface properties from Wannier interpolation
Yates, J. R., Wang, X., Vanderbilt, D. H., & Souza, I. (2007) · Physical Review B · doi:10.1103/physrevb.75.195121 · Cited by 408 · see citing works
Density functional theory in the solid state
Hasnip, P. J., Refson, K., Probert, M. I. J., Yates, J. R., Clark, S. J., & Pickard, C. J. (2014) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2013.0270 · Cited by 396 · see citing works
Bilc, D., Orlando, R., Shaltaf, R., Rignanese, G., Íñiguez, J., & Ghosez, P. (2008) · Physical Review B · doi:10.1103/physrevb.77.165107 · Cited by 384 · see citing works
Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity
Babbush, R., Gidney, C., Berry, D. W., Wiebe, N., McClean, J., Paler, A., Fowler, A., & Neven, H. (2018) · Physical Review X · doi:10.1103/physrevx.8.041015 · Cited by 383 · see citing works
Toward Computational Materials Design: The Impact of Density Functional Theory on Materials Research
Häfner, J., Wolverton, C., & Ceder, G. (2006) · MRS Bulletin · doi:10.1557/mrs2006.174 · Cited by 370 · see citing works
Chevrier, V. L., Ong, S. P., Armiento, R., et al. (2010) · Physical Review B · doi:10.1103/physrevb.82.075122 · Cited by 358 · see citing works
Govoni, M., & Galli, G. (2015) · Journal of Chemical Theory and Computation · doi:10.1021/ct500958p · Cited by 351 · see citing works
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Srour, J. R., & Palko, J. W. (2013) · IEEE Transactions on Nuclear Science · doi:10.1109/tns.2013.2261316 · Cited by 350 · see citing works
Characterization of thermal transport in low-dimensional boron nitride nanostructures
Sevik, C., Kınacı, A., Haskins, J. B., & Tahir Cagin, B. (2011) · Physical Review B · doi:10.1103/physrevb.84.085409 · Cited by 326 · see citing works
Kronik, L., Makmal, A., Tiago, M. L., Alemany, M. M. G., Jain, M., Huang, X., Saad, Y., & Chelikowsky, J. R. (2006) · physica status solidi (b) · doi:10.1002/pssb.200541463 · Cited by 326 · see citing works
Colloquium: Structural, electronic, and transport properties of silicon nanowires
Rurali, R. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.427 · Cited by 316 · see citing works
Sohier, T. D. P., Calandra, M., & Mauri, F. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.075448 · Cited by 315 · see citing works
Marom, N., Tkatchenko, A., Rossi, M., et al. (2011) · Journal of Chemical Theory and Computation · doi:10.1021/ct2005616 · Cited by 312 · see citing works
Burke, K., & Wagner, L. O. (2012) · International Journal of Quantum Chemistry · doi:10.1002/qua.24259 · Cited by 306 · see citing works
Can one trust quantum simulators?
Hauke, P., Cucchietti, F. M., Tagliacozzo, L., Deutsch, I., & Lewenstein, M. (2012) · Reports on Progress in Physics · doi:10.1088/0034-4885/75/8/082401 · Cited by 315 · see citing works
Quasiparticle Spectra from a Nonempirical Optimally Tuned Range-Separated Hybrid Density Functional
Refaely‐Abramson, S., Sharifzadeh, S., Govind, N., Autschbach, J., Neaton, J. B., Baer, R., & Kronik, L. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.226405 · Cited by 303 · see citing works
Large tunable image-charge effects in single-molecule junctions
Perrin, M. L., Verzijl, C. J. O., Martin, C. A., et al. (2013) · Nature Nanotechnology · doi:10.1038/nnano.2013.26 · Cited by 301 · see citing works
Configurational thermodynamics of alloys from first principles: effective cluster interactions
Ruban, A. V., & Abrikosov, I. A. (2008) · Reports on Progress in Physics · doi:10.1088/0034-4885/71/4/046501 · Cited by 295 · see citing works
Simultaneous Determination of Conductance and Thermopower of Single Molecule Junctions
Widawsky, J. R., Darancet, P., Neaton, J. B., et al. (2011) · Nano Letters · doi:10.1021/nl203634m · Cited by 290 · see citing works
Kim, J., Baczewski, A., Beaudet, T. D., Benali, A., Bennett, M. C., Berrill, M., Blunt, N. S., Borda, E. J. L., Casula, M., Ceperley, D. M., et al. (2018) · Journal of Physics Condensed Matter · doi:10.1088/1361-648x/aab9c3 · Cited by 319 · see citing works
Self-citationLow Sound Velocity Contributing to the High Thermoelectric Performance of Ag8SnSe6
Li, W., Lin, S., Ge, B., et al. (2016) · Advanced Science · doi:10.1002/advs.201600196 · Cited by 284 · see citing works
Rechargeable Alkali-Ion Battery Materials: Theory and Computation
der Ven, A. V., Deng, Z., Banerjee, S., & Ong, S. P. (2020) · Chemical Reviews · doi:10.1021/acs.chemrev.9b00601 · Cited by 264 · see citing works
Low-Depth Quantum Simulation of Materials
Babbush, R., Wiebe, N., McClean, J., McClain, J., Neven, H., & Chan, G. K.-L. (2018) · Physical Review X · doi:10.1103/physrevx.8.011044 · Cited by 335 · see citing works
Time-dependent density-functional description of nuclear dynamics
Nakatsukasa, T., Matsuyanagi, K., Matsuo, M., & Yabana, K. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.045004 · Cited by 255 · see citing works
First-principles modeling of localized d states with the GW@LDA+U approach
Jiang, H. Y., Gómez-Abal, R. I., Rinke, P., et al. (2010) · Physical Review B · doi:10.1103/physrevb.82.045108 · Cited by 260 · see citing works
Thygesen, K. S. (2017) · 2D Materials · doi:10.1088/2053-1583/aa6432 · Cited by 258 · see citing works
Stamatakis, M., & Vlachos, D. G. (2012) · ACS Catalysis · doi:10.1021/cs3005709 · Cited by 254 · see citing works
Nuclear equation of state from ground and collective excited state properties of nuclei
Roca-Maza, X., & Paar, Ν. (2018) · Progress in Particle and Nuclear Physics · doi:10.1016/j.ppnp.2018.04.001 · Cited by 248 · see citing works
Origin of band gaps in 3d perovskite oxides
Varignon, J., Bibes, M., & Zunger, A. (2019) · Nature Communications · doi:10.1038/s41467-019-09698-6 · Cited by 233 · see citing works
Setyawan, W., Gaumé, R., Lam, S., Feigelson, R. S., & Stefano Curtarolo, A. (2011) · ACS Combinatorial Science · doi:10.1021/co200012w · Cited by 239 · see citing works
Fundamentals of Condensed Matter Physics
Cohen, M. L., & Louie, S. G. (2016) · Cambridge University Press eBooks · doi:10.1017/cbo9781139031783 · Cited by 240 · see citing works
Çakır, D., Peeters, F. M., & Sevik, C. (2014) · Applied Physics Letters · doi:10.1063/1.4879543 · Cited by 239 · see citing works
Modeling and simulation of protein–surface interactions: achievements and challenges
Ozboyaci, M., Kokh, D. B., Corni, S., & Wade, R. C. (2016) · Quarterly Reviews of Biophysics · doi:10.1017/s0033583515000256 · Cited by 237 · see citing works
Li, H., Wang, Z., Zou, N., Ye, M., Xu, R., Gong, X., Duan, W., & Xu, Y. (2022) · Nature Computational Science · doi:10.1038/s43588-022-00265-6 · Cited by 242 · see citing works
Topological nodal-line semimetals in alkaline-earth stannides, germanides, and silicides
Huang, H., Liu, J., Vanderbilt, D. H., & Duan, W. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.201114 · Cited by 230 · see citing works
Differentiable Programming Tensor Networks
Liao, H.-J., Liu, J.-G., Wang, L., & Xiang, T. (2019) · Physical Review X · doi:10.1103/physrevx.9.031041 · Cited by 251 · see citing works
The Pseudopotential Approximation in Electronic Structure Theory
Schwerdtfeger, P. (2011) · ChemPhysChem · doi:10.1002/cphc.201100387 · Cited by 233 · see citing works
Paulatto, L., Mauri, F., & Lazzeri, M. (2013) · Physical Review B · doi:10.1103/physrevb.87.214303 · Cited by 233 · see citing works
Enhanced Charge Transport in Amorphous Li2O2
Tian, F., Radin, M. D., & Siegel, D. J. (2014) · Chemistry of Materials · doi:10.1021/cm5007372 · Cited by 232 · see citing works
Gürel, T., Sevik, C., & Çağın, T. (2011) · Physical Review B · doi:10.1103/physrevb.84.205201 · Cited by 228 · see citing works
Wang, S., Sun, Y., Yang, J., Duan, B., Wu, L., Zhang, W., & Yang, J. (2016) · Energy & Environmental Science · doi:10.1039/c6ee02674e · Cited by 225 · see citing works
Lithium Insertion In Silicon Nanowires: An ab Initio Study
Zhang, Q., Zhang, W., Wan, W., et al. (2010) · Nano Letters · doi:10.1021/nl904132v · Cited by 227 · see citing works
Reduced Bloch mode expansion for periodic media band structure calculations
Hussein, M. I. (2009) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2008.0471 · Cited by 227 · see citing works
Ab Initio Thermodynamics and First-Principles Microkinetics for Surface Catalysis
Reuter, K. (2016) · Catalysis Letters · doi:10.1007/s10562-015-1684-3 · Cited by 220 · see citing works
The most incompressible metal osmium at static pressures above 750 gigapascals
Dubrovinsky, L., Dubrovinskaia, N., Bykova, E. A., et al. (2015) · Nature · doi:10.1038/nature14681 · Cited by 217 · see citing works
Band structure calculations of Si–Ge–Sn alloys: achieving direct band gap materials
Moontragoon, P., Ikonić, Z., & Harrison, P. W. (2007) · Semiconductor Science and Technology · doi:10.1088/0268-1242/22/7/012 · Cited by 214 · see citing works
Stradi, D., Martinez, U., Blom, A., et al. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.155302 · Cited by 209 · see citing works
Hautier, G., Jain, A., & Ong, S. P. (2012) · Journal of Materials Science · doi:10.1007/s10853-012-6424-0 · Cited by 206 · see citing works
Tiago, M. L., & Chelikowsky, J. R. (2006) · Physical Review B · doi:10.1103/physrevb.73.205334 · Cited by 203 · see citing works
Quantum machine learning using atom-in-molecule-based fragments selected on the fly
Huang, B., & von Lilienfeld, O. A. (2020) · Nature Chemistry · doi:10.1038/s41557-020-0527-z · Cited by 235 · see citing works
Mukherjee, S., Yang, X., Shan, W., Samarakoon, W. S., Karakalos, S., Cullen, D. A., More, K. L., Wang, M., Feng, Z., Wang, G., et al. (2020) · Small Methods · doi:10.1002/smtd.201900821 · Cited by 200 · see citing works
Highly compressed ammonia forms an ionic crystal
Pickard, C. J., & Needs, R. J. (2008) · Nature Materials · doi:10.1038/nmat2261 · Cited by 198 · see citing works
Prediction of New Phases of Nitrogen at High Pressure from First-Principles Simulations
Mattson, W. D., Sánchez‐Portal, D., Chiesa, S., et al. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.125501 · Cited by 197 · see citing works
Self-citationOrigin of band gaps in 3d perovskite oxides
Varignon, J., Bibès, M., & Zunger, A. (n.d.) · RePEc: Research Papers in Economics · Cited by 197 · see citing works
- Authors
- Martin, R. M.
- Affiliations
- University of Illinois Urbana-Champaign (US)
- Corresponding author
- Martin, Richard M.
- ORCID
- Martin, Richard M.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 2004-04-08
- OpenAlex
- W4238885544
- Cited by
- 1,752
- References
- 0
- Citations by year
- 2026: 59 · 2025: 66 · 2024: 53 · 2023: 69 · 2022: 80 · 2021: 83 · 2020: 102 · 2019: 98 · 2018: 125 · 2017: 71 · 2016: 123 · 2015: 86 · 2014: 91 · 2013: 92 · 2012: 93
- FWCI
- 15.52
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Cambridge University Press eBooks (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Chemical Physics Studies
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Physics of Superconductivity and Magnetism
- Physical Sciences › Engineering › Mechanical Engineering › Thermodynamic and Structural Properties of Metals and Alloys
- Keywords
- electronic structure, density functional theory, computational methods, electronic structure theory, material properties
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