Origin of Transitions between Metallic and Insulating States in Simple Metals
Abstract
Unifying principles that underlie recently discovered transitions between metallic and insulating states in elemental solids under pressure are developed. Using group theory arguments and first principles calculations, we show that the electronic properties of the phases involved in these transitions are controlled by symmetry principles not previously recognized. The valence bands in these systems are described by simple and composite band representations constructed from localized Wannier functions centered on points unoccupied by atoms, and which are not necessarily all symmetrical. The character of the Wannier functions is closely related to the degree of s-p(-d) hybridization and reflects multi-center chemical bonding in these insulating states. The conditions under which an insulating state is allowed for structures having an integer number of atoms per primitive unit cell as well as re-entrant (i.e., metal-insulator-metal) transition sequences are detailed, resulting in predictions of novel behavior such as phases having three-dimensional Dirac-like points. The general principles developed are tested and applied to the alkali and alkaline earth metals, including elements where high-pressure insulating phases have been identified or reported (e.g., Li, Na, and Ca).
- Authors:
-
- Carnegie Inst. of Washington, Argonne, IL (United States). Geophysical Lab.
- Publication Date:
- Research Org.:
- Carnegie Inst. of Science, Argonne, IL (United States); Energy Frontier Research Centers (EFRC) (United States). Energy Frontier Research in Extreme Environments (EFree)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1338329
- Alternate Identifier(s):
- OSTI ID: 1180188
- Grant/Contract Number:
- NA0002006; SC0001057; SC-0001057
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 114; Journal Issue: 15; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
Citation Formats
Naumov, Ivan I., and Hemley, Russell J. Origin of Transitions between Metallic and Insulating States in Simple Metals. United States: N. p., 2015.
Web. doi:10.1103/PhysRevLett.114.156403.
Naumov, Ivan I., & Hemley, Russell J. Origin of Transitions between Metallic and Insulating States in Simple Metals. United States. https://doi.org/10.1103/PhysRevLett.114.156403
Naumov, Ivan I., and Hemley, Russell J. Fri .
"Origin of Transitions between Metallic and Insulating States in Simple Metals". United States. https://doi.org/10.1103/PhysRevLett.114.156403. https://www.osti.gov/servlets/purl/1338329.
@article{osti_1338329,
title = {Origin of Transitions between Metallic and Insulating States in Simple Metals},
author = {Naumov, Ivan I. and Hemley, Russell J.},
abstractNote = {Unifying principles that underlie recently discovered transitions between metallic and insulating states in elemental solids under pressure are developed. Using group theory arguments and first principles calculations, we show that the electronic properties of the phases involved in these transitions are controlled by symmetry principles not previously recognized. The valence bands in these systems are described by simple and composite band representations constructed from localized Wannier functions centered on points unoccupied by atoms, and which are not necessarily all symmetrical. The character of the Wannier functions is closely related to the degree of s-p(-d) hybridization and reflects multi-center chemical bonding in these insulating states. The conditions under which an insulating state is allowed for structures having an integer number of atoms per primitive unit cell as well as re-entrant (i.e., metal-insulator-metal) transition sequences are detailed, resulting in predictions of novel behavior such as phases having three-dimensional Dirac-like points. The general principles developed are tested and applied to the alkali and alkaline earth metals, including elements where high-pressure insulating phases have been identified or reported (e.g., Li, Na, and Ca).},
doi = {10.1103/PhysRevLett.114.156403},
journal = {Physical Review Letters},
number = 15,
volume = 114,
place = {United States},
year = {Fri Apr 17 00:00:00 EDT 2015},
month = {Fri Apr 17 00:00:00 EDT 2015}
}
Web of Science
Works referenced in this record:
Direct observation of a pressure-induced metal-to-semiconductor transition in lithium
journal, March 2009
- Matsuoka, Takahiro; Shimizu, Katsuya
- Nature, Vol. 458, Issue 7235
Pressure-induced reentrant metallic phase in lithium
journal, April 2014
- Matsuoka, T.; Sakata, M.; Nakamoto, Y.
- Physical Review B, Vol. 89, Issue 14
Transparent dense sodium
journal, March 2009
- Ma, Yanming; Eremets, Mikhail; Oganov, Artem R.
- Nature, Vol. 458, Issue 7235
Electrical-resistance behavior of Ca at high pressures and low temperatures
journal, August 1981
- Dunn, K. J.; Bundy, F. P.
- Physical Review B, Vol. 24, Issue 4
Effect of Temperature and Pressure on the Electrical Resistance of Four Alkaline Earth Metals
journal, September 1963
- Stager, R. A.; Drickamer, H. G.
- Physical Review, Vol. 131, Issue 6
Non-simple behavior of simple metals at high pressure
journal, August 2005
- Maksimov, Evgenii G.; Magnitskaya, Mariya V.; Fortov, Vladimir E.
- Physics-Uspekhi, Vol. 48, Issue 8
Insulating Nickel at a Pressure of 34 TPa
journal, October 1982
- McMahan, A. K.; Albers, R. C.
- Physical Review Letters, Vol. 49, Issue 16
Pairing, π-bonding, and the role of nonlocality in a dense lithium monolayer
journal, September 2000
- Bergara, A.; Neaton, J. B.; Ashcroft, N. W.
- Physical Review B, Vol. 62, Issue 12
Equation of state and properties of lithium
journal, September 1985
- Boettger, J. C.; Trickey, S. B.
- Physical Review B, Vol. 32, Issue 6
New high-pressure phases of lithium
journal, November 2000
- Hanfland, M.; Syassen, K.; Christensen, N. E.
- Nature, Vol. 408, Issue 6809
Anomalous optical and electronic properties of dense sodium
journal, April 2009
- Lazicki, A.; Goncharov, A. F.; Struzhkin, V. V.
- Proceedings of the National Academy of Sciences, Vol. 106, Issue 16
On the Constitution of Sodium at Higher Densities
journal, March 2001
- Neaton, J. B.; Ashcroft, N. W.
- Physical Review Letters, Vol. 86, Issue 13
Exotic high pressure behavior of light alkali metals, lithium and sodium
journal, April 2011
- Rousseau, B.; Xie, Y.; Ma, Y.
- The European Physical Journal B, Vol. 81, Issue 1
Electronic structure and bonding in the Cmca phases of Si and Cs
journal, February 2000
- Schwarz, U.; Jepsen, O.; Syassen, K.
- Solid State Communications, Vol. 113, Issue 11
Phase Stability and Broken-Symmetry Transition of Elemental Lithium up to 140 GPa
journal, September 2005
- Rousseau, Roger; Uehara, Kentaro; Klug, Dennis D.
- ChemPhysChem, Vol. 6, Issue 9
Pairing in dense lithium
journal, July 1999
- Neaton, J. B.; Ashcroft, N. W.
- Nature, Vol. 400, Issue 6740
Crystal structure of simple metals at high pressures
journal, September 2010
- Degtyareva, Olga
- High Pressure Research, Vol. 30, Issue 3, p. 343-371
Singularities of the electronic structure and pre-martensitic anomalies of lattice properties in β-phases of metals and alloys
journal, April 1994
- Katsnelson, M. I.; Naumov, I. I.; Trefilov, A. V.
- Phase Transitions, Vol. 49, Issue 1-3
Ab initio correlation calculation for metallic lithium
journal, November 1993
- Heilingbrunner, Andrea; Stollhoff, Gernot
- The Journal of Chemical Physics, Vol. 99, Issue 9
Maximally localized Wannier functions: Theory and applications
journal, October 2012
- Marzari, Nicola; Mostofi, Arash A.; Yates, Jonathan R.
- Reviews of Modern Physics, Vol. 84, Issue 4
Polarization and localization in insulators: Generating function approach
journal, July 2000
- Souza, Ivo; Wilkens, Tim; Martin, Richard M.
- Physical Review B, Vol. 62, Issue 3
Band representations and symmetry types of bands in solids
journal, March 1981
- Zak, J.
- Physical Review B, Vol. 23, Issue 6
Berry’s phase for energy bands in solids
journal, June 1989
- Zak, J.
- Physical Review Letters, Vol. 62, Issue 23
Predicted Novel High-Pressure Phases of Lithium
journal, January 2011
- Lv, Jian; Wang, Yanchao; Zhu, Li
- Physical Review Letters, Vol. 106, Issue 1
Crystal Structures of Dense Lithium: A Metal-Semiconductor-Metal Transition
journal, March 2011
- Marqués, M.; McMahon, M. I.; Gregoryanz, E.
- Physical Review Letters, Vol. 106, Issue 9
Theoretical determination that electrons act as anions in the electride Cs+ (15-crown-5)2·e-
journal, September 1993
- Singh, David J.; Krakauer, Henry; Haas, Christopher
- Nature, Vol. 365, Issue 6441
Orthogonal Orbitals and Generalized Wannier Functions
journal, January 1963
- Cloizeaux, Jacques Des
- Physical Review, Vol. 129, Issue 2
Accidental Degeneracy in the Energy Bands of Crystals
journal, August 1937
- Herring, Conyers
- Physical Review, Vol. 52, Issue 4
High Pressure Electrides: A Predictive Chemical and Physical Theory
journal, February 2014
- Miao, Mao-Sheng; Hoffmann, Roald
- Accounts of Chemical Research, Vol. 47, Issue 4
New Concepts of Metallic Bonding Based on Valence-Bond Ideas
journal, December 1985
- McAdon, Mark H.; Goddard, William A.
- Physical Review Letters, Vol. 55, Issue 23
Muffin-Tin Orbital Wannier-Like Functions for Insulators and Metals
journal, September 2005
- Zurek, Eva; Jepsen, Ove; Andersen, Ole Krogh
- ChemPhysChem, Vol. 6, Issue 9
Metal-insulator transitions
journal, October 1998
- Imada, Masatoshi; Fujimori, Atsushi; Tokura, Yoshinori
- Reviews of Modern Physics, Vol. 70, Issue 4, p. 1039-1263
Toward a magnetic description of metals in terms of interstitial molecular orbitals. II. One-dimensional infinite system: The lithium chain
journal, November 1992
- Lepetit, M. B.; Aprà, E.; Malrieu, J. P.
- Physical Review B, Vol. 46, Issue 20
Physical Equivalence of Energy Bands in Solids
journal, February 1992
- Michel, L.; Zak, J.
- Europhysics Letters (EPL), Vol. 18, Issue 3
Works referencing / citing this record:
Topological Dirac nodal lines and surface charges in fcc alkaline earth metals
journal, January 2017
- Hirayama, Motoaki; Okugawa, Ryo; Miyake, Takashi
- Nature Communications, Vol. 8, Issue 1
Optical properties of dense lithium in electride phases by first-principles calculations
journal, March 2018
- Yu, Zheng; Geng, Hua Y.; Sun, Y.
- Scientific Reports, Vol. 8, Issue 1
Predicted reentrant melting of dense hydrogen at ultra-high pressures
journal, November 2016
- Geng, Hua Y.; Wu, Q.
- Scientific Reports, Vol. 6, Issue 1
The cold neutron chopper spectrometer at the Spallation Neutron Source—A review of the first 8 years of operation
journal, September 2016
- Ehlers, G.; Podlesnyak, A. A.; Kolesnikov, A. I.
- Review of Scientific Instruments, Vol. 87, Issue 9
Equation of state and shock compression of warm dense sodium—A first-principles study
journal, February 2017
- Zhang, Shuai; Driver, Kevin P.; Soubiran, François
- The Journal of Chemical Physics, Vol. 146, Issue 7
High-pressure studies with x-rays using diamond anvil cells
journal, November 2016
- Shen, Guoyin; Mao, Ho Kwang
- Reports on Progress in Physics, Vol. 80, Issue 1
Topological Dirac Nodal Lines and Surface Charges in fcc Alkaline Earth Metals
text, January 2016
- Hirayama, Motoaki; Okugawa, Ryo; Miyake, Takashi
- arXiv