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Ramasimha Varma A, Paul S, Itale A, Pable P, Tibrewala R, Dodal S, Yerunkar H, Bhaumik S, Shah V, Gururajan MP, Prasanna TRS. Electron-Phonon Interaction Contribution to the Total Energy of Group IV Semiconductor Polymorphs: Evaluation and Implications. ACS OMEGA 2023; 8:11251-11260. [PMID: 37008080 PMCID: PMC10061527 DOI: 10.1021/acsomega.2c08244] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 12/29/2022] [Accepted: 02/28/2023] [Indexed: 06/19/2023]
Abstract
In density functional theory (DFT)-based total energy studies, the van der Waals (vdW) and zero-point vibrational energy (ZPVE) correction terms are included to obtain energy differences between polymorphs. We propose and compute a new correction term to the total energy, due to electron-phonon interactions (EPI). We rely on Allen's general formalism, which goes beyond the quasi-harmonic approximation (QHA), to include the free energy contributions due to quasiparticle interactions. We show that, for semiconductors and insulators, the EPI contributions to the free energies of electrons and phonons are the corresponding zero-point energy contributions. Using an approximate version of Allen's formalism in combination with the Allen-Heine theory for EPI corrections, we calculate the zero-point EPI corrections to the total energy for cubic and hexagonal polytypes of carbon, silicon and silicon carbide. The EPI corrections alter the energy differences between polytypes. In SiC polytypes, the EPI correction term is more sensitive to crystal structure than the vdW and ZPVE terms and is thus essential in determining their energy differences. It clearly establishes that the cubic SiC-3C is metastable and hexagonal SiC-4H is the stable polytype. Our results are consistent with the experimental results of Kleykamp. Our study enables the inclusion of EPI corrections as a separate term in the free energy expression. This opens the way to go beyond the QHA by including the contribution of EPI on all thermodynamic properties.
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Affiliation(s)
- Arjun
Varma Ramasimha Varma
- Department
of Metallurgical Engineering and Materials Science, Indian Institute of Technology Bombay, Mumbai 400076, India
| | - Shilpa Paul
- Department
of Metallurgical Engineering and Materials Science, Indian Institute of Technology Bombay, Mumbai 400076, India
| | - Anup Itale
- Department
of Metallurgical Engineering and Materials Science, Indian Institute of Technology Bombay, Mumbai 400076, India
| | - Pranav Pable
- Department
of Metallurgical Engineering and Materials Science, Indian Institute of Technology Bombay, Mumbai 400076, India
| | - Radhika Tibrewala
- Department
of Metallurgical Engineering and Materials Science, Indian Institute of Technology Bombay, Mumbai 400076, India
| | - Samruddhi Dodal
- Department
of Metallurgical Engineering and Materials Science, Indian Institute of Technology Bombay, Mumbai 400076, India
| | - Harshal Yerunkar
- Department
of Metallurgical Engineering and Materials Science, Indian Institute of Technology Bombay, Mumbai 400076, India
| | - Saurav Bhaumik
- Department
of Mathematics, Indian Institute of Technology
Bombay, Mumbai 400076, India
| | - Vaishali Shah
- Department
of Scientific Computing, Modeling and Simulation, Savitribai Phule Pune University, Pune 411007, India
| | | | - Tiramkudlu R. S. Prasanna
- Department
of Metallurgical Engineering and Materials Science, Indian Institute of Technology Bombay, Mumbai 400076, India
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Pamuk B, Allen PB, Fernández-Serra MV. Insights into the Structure of Liquid Water from Nuclear Quantum Effects on the Density and Compressibility of Ice Polymorphs. J Phys Chem B 2018; 122:5694-5706. [DOI: 10.1021/acs.jpcb.8b00110] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Betül Pamuk
- School of Applied and Engineering Physics, Cornell University, Ithaca, New York 14853, United States
- Physics and Astronomy Department, Stony Brook University, Stony Brook, New York 11794-3800, United States
| | - P. B. Allen
- Physics and Astronomy Department, Stony Brook University, Stony Brook, New York 11794-3800, United States
| | - M.-V. Fernández-Serra
- Physics and Astronomy Department, Stony Brook University, Stony Brook, New York 11794-3800, United States
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McKenzie RH, Bekker C, Athokpam B, Ramesh SG. Effect of quantum nuclear motion on hydrogen bonding. J Chem Phys 2014; 140:174508. [DOI: 10.1063/1.4873352] [Citation(s) in RCA: 70] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/23/2023] Open
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Lindsay L, Broido DA, Reinecke TL. Thermal conductivity and large isotope effect in GaN from first principles. PHYSICAL REVIEW LETTERS 2012; 109:095901. [PMID: 23002858 DOI: 10.1103/physrevlett.109.095901] [Citation(s) in RCA: 60] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/15/2012] [Indexed: 06/01/2023]
Abstract
We present atomistic first principles results for the lattice thermal conductivity of GaN and compare them to those for GaP, GaAs, and GaSb. In GaN we find a large increase to the thermal conductivity with isotopic enrichment, ~65% at room temperature. We show that both the high thermal conductivity and its enhancement with isotopic enrichment in GaN arise from the weak coupling of heat-carrying acoustic phonons with optic phonons. This weak scattering results from stiff atomic bonds and the large Ga to N mass ratio, which give phonons high frequencies and also a pronounced energy gap between acoustic and optic phonons compared to other materials. Rigorous understanding of these features in GaN gives important insights into the interplay between intrinsic phonon-phonon scattering and isotopic scattering in a range of materials.
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Affiliation(s)
- L Lindsay
- Naval Research Laboratory, Washington, DC 20375, USA
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Pamuk B, Soler JM, Ramírez R, Herrero CP, Stephens PW, Allen PB, Fernández-Serra MV. Anomalous nuclear quantum effects in ice. PHYSICAL REVIEW LETTERS 2012; 108:193003. [PMID: 23003032 DOI: 10.1103/physrevlett.108.193003] [Citation(s) in RCA: 78] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/18/2011] [Indexed: 05/16/2023]
Abstract
One striking anomaly of water ice has been largely neglected and never explained. Replacing hydrogen (1H) by deuterium (2H) causes ice to expand, whereas the normal isotope effect is volume contraction with increased mass. Furthermore, the anomaly increases with temperature T, even though a normal isotope shift should decrease with T and vanish when T is high enough to use classical nuclear motions. In this study, we show that these effects are very well described by ab initio density-functional theory. Our theoretical modeling explains these anomalies, and allows us to predict and to experimentally confirm a counter effect, namely, that replacement of 16O by 18O causes a normal lattice contraction.
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Affiliation(s)
- B Pamuk
- Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794-3800, USA
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Garro N, Cantarero A, Cardona M, Göbel A, Ruf T, Eberl K. Dependence of the lattice parameters and the energy gap of zinc-blende-type semiconductors on isotopic masses. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:4732-4740. [PMID: 9986433 DOI: 10.1103/physrevb.54.4732] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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