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Title: Elastic, mechanical, and thermodynamic properties of Bi-Sb binaries: Effect of spin-orbit coupling

Abstract

Using first-principles calculations, we systematically study the elastic stiffness constants, mechanical properties, elastic wave velocities, Debye temperature, melting temperature, and specific heat of several thermodynamically stable crystal structures of BixSb1-x (0 < x < 1) binaries, which are of great interest due to their numerous inherent rich properties, such as thermoelectricity, thermomagnetic cooling, strong spin-orbit coupling (SOC) effects, and topological features in the electronic band structure. We analyze the bulk modulus (B), Young's modulus (E), shear modulus (G), B/G ratio, and Poisson's ratio ($$\nu$$) as a function of the Bi concentration in BixSb1-x. The effect of SOC on the above-mentioned properties is further investigated. In general, we observe that the SOC effects cause elastic softening in most of the studied structures. Three monoclinic structures of Bi-Sb binaries are found to exhibit significantly large auxetic behavior due to the hingelike geometric structure of bonds. The Debye temperature and the magnitude of the elastic wave velocities monotonically increase with increasing Sb concentration. However, anomalies were observed at very low Sb concentration. We also discuss the specific-heat capacity versus temperature data for all studied binaries. Our theoretical results are in excellent agreement with the existing experimental and theoretical data. The comprehensive understanding of the material properties such as hardness, mechanical strength, melting temperature, propagation of the elastic waves, auxeticity, and heat capacity is vital for practical applications of the studied binaries.

Authors:
 [1];  [2];  [1];  [1]
  1. West Virginia Univ., Morgantown, WV (United States)
  2. Univ. of North Dakota, Grand Forks, ND (United States)
Publication Date:
Research Org.:
West Virginia Univ., Morgantown, WV (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
OSTI Identifier:
1593937
Alternate Identifier(s):
OSTI ID: 1421883
Grant/Contract Number:  
SC0016176; OCI-1053575; NSF1434897
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 5; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Crystal phenomena; elasticity; first-principles calculations; mechanical & acoustical properties; mechanical deformation; plasticity; semiconductors; semimetals; spin-orbit coupling; spintronics; stress; structural properties; thermal properties; topological materials

Citation Formats

Singh, Sobhit, Valencia-Jaime, Irais, Pavlic, Olivia, and Romero, Aldo H. Elastic, mechanical, and thermodynamic properties of Bi-Sb binaries: Effect of spin-orbit coupling. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.054108.
Singh, Sobhit, Valencia-Jaime, Irais, Pavlic, Olivia, & Romero, Aldo H. Elastic, mechanical, and thermodynamic properties of Bi-Sb binaries: Effect of spin-orbit coupling. United States. https://doi.org/10.1103/PhysRevB.97.054108
Singh, Sobhit, Valencia-Jaime, Irais, Pavlic, Olivia, and Romero, Aldo H. Tue . "Elastic, mechanical, and thermodynamic properties of Bi-Sb binaries: Effect of spin-orbit coupling". United States. https://doi.org/10.1103/PhysRevB.97.054108. https://www.osti.gov/servlets/purl/1593937.
@article{osti_1593937,
title = {Elastic, mechanical, and thermodynamic properties of Bi-Sb binaries: Effect of spin-orbit coupling},
author = {Singh, Sobhit and Valencia-Jaime, Irais and Pavlic, Olivia and Romero, Aldo H.},
abstractNote = {Using first-principles calculations, we systematically study the elastic stiffness constants, mechanical properties, elastic wave velocities, Debye temperature, melting temperature, and specific heat of several thermodynamically stable crystal structures of BixSb1-x (0 < x < 1) binaries, which are of great interest due to their numerous inherent rich properties, such as thermoelectricity, thermomagnetic cooling, strong spin-orbit coupling (SOC) effects, and topological features in the electronic band structure. We analyze the bulk modulus (B), Young's modulus (E), shear modulus (G), B/G ratio, and Poisson's ratio ($\nu$) as a function of the Bi concentration in BixSb1-x. The effect of SOC on the above-mentioned properties is further investigated. In general, we observe that the SOC effects cause elastic softening in most of the studied structures. Three monoclinic structures of Bi-Sb binaries are found to exhibit significantly large auxetic behavior due to the hingelike geometric structure of bonds. The Debye temperature and the magnitude of the elastic wave velocities monotonically increase with increasing Sb concentration. However, anomalies were observed at very low Sb concentration. We also discuss the specific-heat capacity versus temperature data for all studied binaries. Our theoretical results are in excellent agreement with the existing experimental and theoretical data. The comprehensive understanding of the material properties such as hardness, mechanical strength, melting temperature, propagation of the elastic waves, auxeticity, and heat capacity is vital for practical applications of the studied binaries.},
doi = {10.1103/PhysRevB.97.054108},
journal = {Physical Review B},
number = 5,
volume = 97,
place = {United States},
year = {Tue Feb 20 00:00:00 EST 2018},
month = {Tue Feb 20 00:00:00 EST 2018}
}

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Cited by: 72 works
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Works referenced in this record:

Lattice thermal conductivity of Bi, Sb, and Bi-Sb alloy from first principles
journal, February 2014


Generalized Gradient Approximation Made Simple
journal, October 1996

  • Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
  • Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
  • DOI: 10.1103/PhysRevLett.77.3865

Minima hopping: An efficient search method for the global minimum of the potential energy surface of complex molecular systems
journal, June 2004

  • Goedecker, Stefan
  • The Journal of Chemical Physics, Vol. 120, Issue 21
  • DOI: 10.1063/1.1724816

Poisson's ratio and modern materials
journal, October 2011

  • Greaves, G. N.; Greer, A. L.; Lakes, R. S.
  • Nature Materials, Vol. 10, Issue 11
  • DOI: 10.1038/nmat3134

Phonon band structure and interatomic force constants for bismuth: Crucial role of spin-orbit interaction
journal, September 2007


Propagation of ultrasonic waves in Bi-Sb alloys
journal, November 1985


Dynamical Theory of Crystal Lattices
journal, October 1955

  • Born, Max; Huang, Kun; Lax, M.
  • American Journal of Physics, Vol. 23, Issue 7
  • DOI: 10.1119/1.1934059

A simplified method for calculating the debye temperature from elastic constants
journal, July 1963


Berechnung der Fließgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle .
journal, January 1929


Charting the complete elastic properties of inorganic crystalline compounds
journal, March 2015

  • de Jong, Maarten; Chen, Wei; Angsten, Thomas
  • Scientific Data, Vol. 2, Issue 1
  • DOI: 10.1038/sdata.2015.9

Heat capacity of PbS: Isotope effects
journal, August 2007


Effect of the Spin-Orbit Interaction on the Thermodynamic Properties of Crystals: Specific Heat of Bismuth
journal, October 2007


Investigation of the gapless state in bismuth-antimony alloys
journal, September 1972

  • Brandt, N. B.; Ponomarev, Ya. G.; Chudinov, S. M.
  • Journal of Low Temperature Physics, Vol. 8, Issue 5-6
  • DOI: 10.1007/BF00653870

From ultrasoft pseudopotentials to the projector augmented-wave method
journal, January 1999


Strain induced quantum spin Hall insulator in monolayer β-BiSb from first-principles study
journal, January 2017

  • Yu, Weiyang; Niu, Chun-Yao; Zhu, Zhili
  • RSC Advances, Vol. 7, Issue 44
  • DOI: 10.1039/C7RA04153E

Anomalous and normal dependence of the sound velocity in the liquid Bi–Sb system
journal, February 2013


Heat Capacities from 1 to 30 K of Zn, Cd, Sn, Bi, and Y
journal, June 1969


Elastic properties of the bcc structure of bismuth at high pressure
journal, May 2006

  • Gutiérrez, Gonzalo; Menéndez-Proupin, Eduardo; Singh, Anil K.
  • Journal of Applied Physics, Vol. 99, Issue 10
  • DOI: 10.1063/1.2195421

The Elastic Behaviour of a Crystalline Aggregate
journal, May 1952


Structures and elastic properties of Os N 2 investigated via first-principles density functional calculations
journal, February 2007


Crystal structures and elastic properties of superhard Ir N 2 and Ir N 3 from first principles
journal, August 2007


Low-Temperature Specific Heat of Antimony
journal, April 1967


Bi 1– x Sb x Alloy Nanocrystals: Colloidal Synthesis, Charge Transport, and Thermoelectric Properties
journal, October 2013

  • Zhang, Hao; Son, Jae Sung; Jang, Jaeyoung
  • ACS Nano, Vol. 7, Issue 11
  • DOI: 10.1021/nn404692s

A topological Dirac insulator in a quantum spin Hall phase
journal, April 2008

  • Hsieh, D.; Qian, D.; Wray, L.
  • Nature, Vol. 452, Issue 7190, p. 970-974
  • DOI: 10.1038/nature06843

Lattice Parameter Study in the Bi1–xSbx Solid-solution System
journal, January 1982

  • Berger, H.; Christ, B.; Troschke, J.
  • Crystal Research and Technology, Vol. 17, Issue 10
  • DOI: 10.1002/crat.2170171010

Enthalpy Increment Measurements from 4.5 to 318 K for Bismuth(cr). Thermodynamic Properties from 0 K to the Melting Point
journal, July 1995

  • Archer, Donald G.
  • Journal of Chemical & Engineering Data, Vol. 40, Issue 4
  • DOI: 10.1021/je00020a064

Anisotropic thermal expansion of bismuth from first principles
journal, March 2016


Mechanical stability of possible structures of PtN investigated using first-principles calculations
journal, March 2006


Lattice Thermal Conductivity, Nernst-Ettinghausen Effect, and Specific Heat in Antimony at Low Temperature
journal, October 1968


Electronic, vibrational, and thermodynamic properties of metacinnabar β -HgS , HgSe, and HgTe
journal, November 2009


The low temperature specific heat of antimony
journal, September 1953


Necessary and sufficient elastic stability conditions in various crystal systems
journal, December 2014


Concentration anomalies of properties in Bi–Sb semimetallic solid solutions
journal, February 2008

  • Rogacheva, E. I.; Yakovleva, A. A.; Pinegin, V. I.
  • Journal of Physics and Chemistry of Solids, Vol. 69, Issue 2-3
  • DOI: 10.1016/j.jpcs.2007.07.042

ElAM: A computer program for the analysis and representation of anisotropic elastic properties
journal, December 2010

  • Marmier, Arnaud; Lethbridge, Zoe A. D.; Walton, Richard I.
  • Computer Physics Communications, Vol. 181, Issue 12
  • DOI: 10.1016/j.cpc.2010.08.033

Energy-Band Parameters and Relative Band-Edge Motions in the Bi-Sb Alloy System near the Semimetal—Semiconductor Transition
journal, October 1968

  • Lerner, Lawrence S.; Cuff, Kermit F.; Williams, Lloyd R.
  • Reviews of Modern Physics, Vol. 40, Issue 4
  • DOI: 10.1103/RevModPhys.40.770

Debye-Waller factor and thermal expansion of arsenic, antimony and bismuth
journal, March 1978

  • Fischer, P.; Sosnowska, I.; Szymanski, M.
  • Journal of Physics C: Solid State Physics, Vol. 11, Issue 6
  • DOI: 10.1088/0022-3719/11/6/011

Structural, Electronic, and Thermoelectric Properties of BiSb Nanotubes
journal, November 2010

  • Lv, H. Y.; Liu, H. J.; Pan, L.
  • The Journal of Physical Chemistry C, Vol. 114, Issue 49
  • DOI: 10.1021/jp108231j

Ultrasonic quantum oscillations in semimetallic Bi 1-x Sb x alloys
journal, February 1985


Atomic Heat of Bismuth between 1° and 4°K
journal, November 1954


XCII. Relations between the elastic moduli and the plastic properties of polycrystalline pure metals
journal, August 1954

  • Pugh, S. F.
  • The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 45, Issue 367
  • DOI: 10.1080/14786440808520496

Computational prediction of new auxetic materials
journal, August 2017


Investigation of novel crystal structures of Bi–Sb binaries predicted using the minima hopping method
journal, January 2016

  • Singh, Sobhit; Ibarra-Hernández, Wilfredo; Valencia-Jaime, Irais
  • Physical Chemistry Chemical Physics, Vol. 18, Issue 43
  • DOI: 10.1039/C6CP05401C

Prediction of two-dimensional BiSb with puckered structure: Prediction of 2D BiSb with puckered structure
journal, May 2017

  • Tan, C. G.; Zhou, P.; Lin, J. G.
  • physica status solidi (RRL) - Rapid Research Letters, Vol. 11, Issue 6
  • DOI: 10.1002/pssr.201700051

Thermal expansion of trigonal elements at low temperatures: As, Sb and Bi
journal, October 1972


Transport properties of Bi-RICH Bi-Sb alloys
journal, January 1996


The thermal expansion of antimony and bismuth at low temperatures
journal, January 1969


Surface states and topological invariants in three-dimensional topological insulators: Application to Bi1xSbx
journal, July 2008

  • Teo, Jeffrey C. Y.; Fu, Liang; Kane, C. L.
  • Physical Review B, Vol. 78, Issue 4, Article No. 045426
  • DOI: 10.1103/PhysRevB.78.045426

Giant tunable Rashba spin splitting in a two-dimensional BiSb monolayer and in BiSb/AlN heterostructures
journal, April 2017


Solvent-Based Synthesis of Nano-Bi0.85Sb0.15 for Low-Temperature Thermoelectric Applications
journal, September 2016


Design of Mg alloys: The effects of Li concentration on the structure and elastic properties in the Mg-Li binary system by first principles calculations
journal, January 2017


Topological insulators with inversion symmetry
journal, July 2007


Prediction and control of spin polarization in a Weyl semimetallic phase of BiSb
journal, October 2016


Elastic Constants of Bismuth
journal, September 1960

  • Eckstein, Yakov; Lawson, A. W.; Reneker, Darrell H.
  • Journal of Applied Physics, Vol. 31, Issue 9
  • DOI: 10.1063/1.1735888

Example of a Negative Effective Poisson's Ratio
journal, September 1981


Auxetic materials: Avoiding the shrink
journal, October 2003


Colloquium: Topological insulators
journal, November 2010


Thermoelectric properties of BiSb alloys
journal, January 1985


Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
journal, October 1996


First principles phonon calculations in materials science
journal, November 2015


ELATE: an open-source online application for analysis and visualization of elastic tensors
journal, May 2016

  • Gaillac, Romain; Pullumbi, Pluton; Coudert, François-Xavier
  • Journal of Physics: Condensed Matter, Vol. 28, Issue 27
  • DOI: 10.1088/0953-8984/28/27/275201

Negative Poisson's ratios as a common feature of cubic metals
journal, March 1998

  • Baughman, Ray H.; Shacklette, Justin M.; Zakhidov, Anvar A.
  • Nature, Vol. 392, Issue 6674
  • DOI: 10.1038/32842

Ultrasonic studies on bismuth-antimony alloys
journal, January 1974

  • Gopinathan, K. K.; Padmini, A. R. K. L.
  • Journal of Physics D: Applied Physics, Vol. 7, Issue 1
  • DOI: 10.1088/0022-3727/7/1/311

Electronic structures and surface states of the topological insulator Bi1xSbx
journal, August 2009

  • Zhang, Hai-Jun; Liu, Chao-Xing; Qi, Xiao-Liang
  • Physical Review B, Vol. 80, Issue 8, Article No. 085307
  • DOI: 10.1103/PhysRevB.80.085307

Phase stability and elastic properties of Cr–V alloys
journal, January 2013


Foam Structures with a Negative Poisson's Ratio
journal, February 1987


Ultrasonic quantum oscillations and the magnetic field dependence of the Fermi energy in semimetallic Bi 1-x Sb x alloys
journal, July 1986


Specific heat of Sb: Isotopic and spin-orbit effects from measurements and ab initio calculations
journal, February 2008


Crystal structure prediction using the minima hopping method
journal, December 2010

  • Amsler, Maximilian; Goedecker, Stefan
  • The Journal of Chemical Physics, Vol. 133, Issue 22
  • DOI: 10.1063/1.3512900

Low-Temperature Specific Heat of Arsenic and Antimony
journal, May 1967


Lattice parameter and density in bismuth-antimony alloys
journal, July 1968

  • Dismukes, J. P.; Paff, R. J.; Smith, R. T.
  • Journal of Chemical & Engineering Data, Vol. 13, Issue 3
  • DOI: 10.1021/je60038a006

First-principles calculations of the ferroelastic transition between rutile-type and CaCl 2 -type SiO 2 at high pressures
journal, October 2008


BiSb alloys for magneto-thermoelectric and thermomagnetic cooling
journal, October 1972


Composition controlled synthesis of Bi rich Bi1−xSbx alloy nanocrystals by a low temperature polyol process
journal, January 2011


The elastic constants of bismuth-antimony alloy single crystals
journal, March 1976

  • Lichnowski, A. J.; Saunders, G. A.
  • Journal of Physics C: Solid State Physics, Vol. 9, Issue 6
  • DOI: 10.1088/0022-3719/9/6/012

Heat capacity of α Ga N : Isotope effects
journal, August 2005


Negative-Poisson's-Ratio Materials: Auxetic Solids
journal, July 2017


Reducing Dzyaloshinskii-Moriya interaction and field-free spin-orbit torque switching in synthetic antiferromagnets
journal, May 2021


Crystal structure prediction using the Minima Hopping method
text, January 2010


Anomalous and normal dependence of the sound velocity in the liquid Bi-Sb system
text, January 2014


First principles phonon calculations in materials science
preprint, January 2015


ELATE: An open-source online application for analysis and visualization of elastic tensors
text, January 2016


Works referencing / citing this record:

Structure dependent optoelectronic properties of monolayer antimonene, bismuthene and their binary compound
journal, January 2019

  • Kecik, D.; Özçelik, V. O.; Durgun, E.
  • Physical Chemistry Chemical Physics, Vol. 21, Issue 15
  • DOI: 10.1039/c8cp07344a

Two-dimensional pnictogens: A review of recent progresses and future research directions
journal, June 2019

  • Ersan, F.; Kecik, D.; Özçelik, V. O.
  • Applied Physics Reviews, Vol. 6, Issue 2
  • DOI: 10.1063/1.5074087

Semi-classical electronic transport properties of ternary compound AlGaAs 2 : role of different scattering mechanisms
journal, December 2019

  • Chakrabarty, Soubhik; Mandia, Anup Kumar; Muralidharan, Bhaskaran
  • Journal of Physics: Condensed Matter, Vol. 32, Issue 13
  • DOI: 10.1088/1361-648x/ab5edf

Ab initio calculations of hardness, elastic, thermodynamic and electronic properties of metal nitrides (XN 2 ; X = Pd, Pt) under high-pressure
journal, January 2019

  • Camacho-García, J. H.; Moreno-Hernández, J. C.; Ruiz-Peralta, Ma L.
  • Materials Research Express, Vol. 6, Issue 4
  • DOI: 10.1088/2053-1591/aafae5

Electronic, elastic and lattice dynamic properties of the topological Dirac semimetal Na 3 Bi
journal, April 2019


First-principles investigation of elastic, mechanical, electronic and thermodynamic properties of Al 3 Li compound under pressure
journal, December 2019


Ab initio investigation of the elastic properties of bismuth-based alloys
journal, September 2019


Topological phonons and thermoelectricity in triple-point metals
text, January 2018

  • Singh, Sobhit; Wu, QuanSheng; Yue, Changming
  • American Physical Society
  • DOI: 10.5167/uzh-159715

Semi-classical electronic transport properties of ternary compound AlGaAs$_2$: Role of different scattering mechanisms
text, January 2019