Computational Formalism

Potentials (DFT and others)

a (Å)

Eg (eV)

PW-PP

LDA

6.089

−0.348 [a]

PW-PP

LDA

6.043

−0.168 [b]

FP-LAPW

LDA

6.107

−0.165 [c]

FP-LAPW

LDA

6.096

−0.13 [c]

Ab initio pseudopotential

LDA

−0.10 [d]

FP-LAPW

LDA

−0.09 [e]

FP-LMTO

LDA

6.091

0.00 [f]

FP-LAPW + lo

LDA

0.00 [g]

FP-LAPW

LDA

6.0619

0.00 [h]

Ab initio pseudopotential

LDA

6.0959

0.00 [i]

Ab-initio-DFT in Plane wave

LDA

0.00 [j]

LMTO

vLB (LDA + vBL)

0.05 [k]

Hybrid exchange methodology

LSDA

0.09 [l]

PAW

LDA

6.065

0.13 [m]

Hybrid functional method

US-LDA

0.23 [m]

NMTO

LDA

6

0.25 [k]

Generalized density-functional theory (GDFT)

LDA

6.12

0.259 [n]

PW-PP

LDA

6.08

0.398 [o]

FP-LAPW

sX-LDA + SOC

0.43 [e]

LMTO

LDA

0.52 [k]

PW-PP

LDA

5.981

0.547 [p]

Ab initio pseudopotential

LDA

5.938

0.5885 [i]

FP-LAPW

DOS-mBJ-LDA

0.60 [q]

Sx- FLAPW

Sx-LDA

0.67 [r]

FP-LAPW + lo

mBJLDA

6.2086

0.68 [s]

Projector-augmented-wave (PAW)

MBJLDA

0.73 [t]

Linear-muffin-tin orbital within atomic-spheres approximation (LMTO-ASA)

LDA

0.74 [u]

Projector-augmented-wave (PAW)

MBJLDA

0.75 [t]

OLCAO

LDA

0.80 [v]

FLAPW

LDA

6.07181

0.80 (indirect) [w]

PW-PP (with correction)

LDA

6.043

0.81 [b]

Projector-augmented-wave (PAW)

MBJLDAbgfit

0.82 [t]

FLAPW

LDA

6.07181

0.82 (indirect) [w]

FP-LAPW + lo

mBJLDA

6.1268

0.90 [s]

Generalized density-functional theory (GDFT)

LDA

5.95

0.925 [n]

FP-LAPW

mBJ-LDA

0.94 [q]

NMTO

vLB

6

0.94 [k]

FP-LAPW

mBJ-LDA

6.0619

1.036 [h]

FLAPW

LDA

6.07181

1.10 [w]

FP-LAPW + lo

mBJLDA

6.0449

1.20 [s]

Projector-augmented-wave (PAW)

GGA-PBE + SOC

6.203

−0.477 [x]

Projector-augmented-wave (PAW)

GGA-PBE

6.203

−0.259 [x]

FP-LAPW

Relativistic GGA

6.22

−0.35 [y]

Projector-augmented-wave (PAW)

GGA-PBE

−0.11 [t]

PAW

GGA

6.228

0.00 [m]

Hybrid functional method

US-GGA

0.00 [m]

FP-LAPW

WC-GGA

0.00 [z]

FP-LAPW

WC-GGA

6.107

0.00 [a’]

FP-LAPW

PBEsol-GGA

0.00 [h]

FP-LAPW + lo

WC-GGA

6.115

0.00 [b’]

PAW

PBE

6.237

0.00 [m]

middle-range screened hybrid exchange functional

PBE

0.00 [c’]

Projector-augmented-wave (PAW)

PBE

0.00 [d’]

middle-range screened hybrid exchange functional

PBEsol

0.06 [c’]

FP-LAPW + lo

GGA

0.07 [e’]

FP-LAPW

GGA-PBE

0.11 [r]

FP-LAPW

GGA

6.09593

0.17 [f’]

PAW

GGA-PBE

6.22

0.20 [g’]

PW-PP

GGA-PBE

6.26

0.208 [o]

PW-PP

GGA-PW91

6.259

0.217 [o]

FP-LAPW

GGA-PBE

6.2145

0.220 [h’]

PW-PP

GGA-RPBE

6.26

0.236 [o]

FP-LAPW

EV-GGA

6.1231

0.35 [h]

PW-PP

GGA-TPSS

6.259

0.352 [o]

FP-LAPW + lo

EV-GGA

0.361 [g]

FP-LAPW + lo

EV-GGA

0.396 [b’]

FP-LAPW

GGA

6.193

0.4 [i’]

PW-PP

GGA-PBEsol

6.09

0.428 [o]

PW-PP

GGA-AM05

6.091

0.482 [o]

NMTO

PBE

6

0.51 [k]

PW-PP

GGA-RTPSS

6.09

0.513 [o]

Hybrid functional method

GGA HSE06

6.141

0.62 [m]

PW-PP

PBE-GGA

6.06

0.63 [j’]

FP-LMTO

GGA

0.726 (indirect) [k’]

FP-LAPW

mBJ-GGA

0.734 [h’]

FP-LAPW

PBE-GGA with SOI

6.118

0.812 [l’]

FP-LAPW

mBJ-GGA

6.1231

0.844 [h]

FP-LAPW

non-relativistic EV-GGA

6.24

1.00 [y]

FP-LAPW

PBE-GGA without SOI

6.118

1.008 [l’]

PW-PP

GGA-MBJ

1.015 [o]

GW method

GW

0.62 [n]

semiempirical

LDA

6.096

−0.38 [m’]

middle-range screened hybrid exchange functional

Tao, Perdew, Staroverov

0.09 [c’]

and Scuseria (TPSS) Potential

FP-LAPW and LMTO

0.2 [n’]

middle-range screened hybrid exchange functional

Henderson, Izmaylov, Scuseria and Savin (HISS) Potential

0.31 [c’]

Projector-augmented-wave (PAW)

GW0-PBE

0.51 [d’]

Projector-augmented-wave (PAW)

HSE06 + SOC

6.124

0.614 [x]

Plane-wave pseudopotential

0.54 [o’]

Projector-augmented-wave (PAW)

HSE

0.68 [d’]

middle-range screened hybrid exchange functional

HSE

0.70 [c’]

Empirical pseudopotential

Empirical pseudopotential

6.118

0.715 [q’]

Projector-augmented-wave (PAW)

HSE06

0.72 [t]

Hybrid exchange methodology

HSE

0.72 [l]

FP-LAPW

MBJ

0.763 [r’]

Projector-augmented-wave (PAW)

GWTC-TC-HSE

0.77 [d’]

Projector-augmented-wave (PAW)

HSE06

6.124

0.782 [x]

Projector-augmented-wave (PAW)

GWΓ1-HSE

0.80 [d’]

semiempirical

LDA + C

6.096

0.81 [m’]

Hybrid exchange methodology

B3LYP

0.81 [l]

Projector-augmented-wave (PAW)

HSE06α + SOC

6.124

0.819 [x]

Projector-augmented-wave (PAW)

HSEbgfit

0.82 [t]

Projector-augmented-wave (PAW)

G0W0TC-TC

0.85 [t]

FP-LAPW

mBJ

0.876 [a’]

Projector-augmented-wave (PAW)

Christensen

0.88 [t]

Experiment

300 K

0.67 [r’]

300 K

0.72 [3’]

300 K

0.729 [t’]

300 K

0.724 ± 0.005 [u’]

300 K

0.725 [v’]

300 K

0.73 [w’, x’]

Room T

0.75 [y’]

Low T

0.78 [r’]

Low T

0.80 [n]

Low T

0.809 ± 0.005 [z’’]

Low T

0.81 [a’’]

4.2 K

0.812 [b’’]

Low T

0.82 [l]

Low T

0.822 [v’]