First check the band-structure in bulk case. The smaller band-gap may be 
due to appearance of surface states in band-gap region.

----- Original Message -----
From: "LEUNG Clarence" <[email protected]>
To: "pw forum" <[email protected]>
Sent: Thursday, June 15, 2017 1:55:03 PM
Subject: [Pw_forum] Problem on HSE bandgap caluculation





Dear All, 




Now, I want to use HSE functional to calculate the band structure of monolayer 
arsenic, but the band gap is much smaller than previous report (2eV). 




I have try to change some parameters. But the results are not good. 




EXX= 0.25, ecutwfc=30, gap=1.15eV, 

EXX=0.35, ecutwfc=30, gap=0.89eV, 

EXX=0.15, ecutwfc=30, gap=1.40eV, 


EXX=0.10, ecutwfc=30, gap=1.56eV, 


EXX=0.05, ecutwfc=30, gap=1.63eV, 


EXX=0.25, ecutwfc=60, gap=1.15eV, 








The psudo-potential is norm-conserving: 

As 74.921600d0 As.pbe-mt_fhi.UPF 





And the input file as follow: 








&CONTROL 
calculation='scf' , 

verbosity='low', 
etot_conv_thr = 1.0D-5 , 
forc_conv_thr = 1.0D-4 , 
nstep = 200 , 
tstress = .false. , 
tprnfor = .false. , 
max_seconds = 320000 , 
wf_collect = .true. , 
/ 


&SYSTEM 
ibrav=0, 
celldm(1)=27.2266448794d0, 
nat=32, 
ntyp=1, 
ecutwfc=30, 
input_dft='hse', 
occupations='smearing', 
smearing = 'gaussian' , 
degauss = 0.02 , 
nosym = .true. , 
vdw_corr = 'DFT-D' , 
nqx1 = 1, 
nqx2 = 1 , 
nqx3 = 1 , 
exx_fraction = 0.05, 
/ 


&ELECTRONS 
conv_thr=1d-06, 
mixing_beta=0.3d0, 
electron_maxstep = 1000 , 
/ 
&IONS 
ion_dynamics = 'bfgs', 
bfgs_ndim = 3 , 
/ 
ATOMIC_SPECIES 
As 74.921600d0 As.pbe-mt_fhi.UPF 


ATOMIC_POSITIONS {crystal} 
As 0.083333304 0.041666531 0.465177578 
As 0.166666686 0.208333294 0.534822422 
As 0.083333418 0.291666706 0.465177578 
As 0.166666800 0.458333469 0.534822384 
As 0.333333200 0.041666531 0.465177578 
As 0.416666582 0.208333294 0.534822422 
As 0.333333366 0.291666706 0.465177578 
As 0.416666748 0.458333469 0.534822384 
As 0.083333304 0.541666531 0.465177578 
As 0.166666686 0.708333294 0.534822422 
As 0.083333418 0.791666706 0.465177578 
As 0.166666800 0.958333469 0.534822384 
As 0.333333200 0.541666531 0.465177578 
As 0.416666582 0.708333294 0.534822422 
As 0.333333366 0.791666706 0.465177578 
As 0.416666748 0.958333469 0.534822384 
As 0.583333304 0.041666531 0.465177578 
As 0.666666686 0.208333294 0.534822422 
As 0.583333418 0.291666706 0.465177578 
As 0.666666800 0.458333469 0.534822384 
As 0.833333200 0.041666531 0.465177578 
As 0.916666582 0.208333294 0.534822422 
As 0.833333366 0.291666706 0.465177578 
As 0.916666748 0.458333469 0.534822384 
As 0.583333304 0.541666531 0.465177578 
As 0.666666686 0.708333294 0.534822422 
As 0.583333418 0.791666706 0.465177578 
As 0.666666800 0.958333469 0.534822384 
As 0.833333200 0.541666531 0.465177578 
As 0.916666582 0.708333294 0.534822422 
As 0.833333366 0.791666706 0.465177578 
As 0.916666748 0.958333469 0.534822384 


K_POINTS 
84 
0.0000000 0.0000000 0.0000000 0.03125 
0.0000000 0.1443377 0.0000000 0.06250 
0.0000000 0.2886754 0.0000000 0.06250 
0.0000000 0.4330131 0.0000000 0.06250 
0.0000000 -0.5773508 0.0000000 0.03125 
0.1250000 0.0721689 0.0000000 0.0625 
0.1250000 0.2165066 0.0000000 0.0625 
0.1250000 0.3608443 0.0000000 0.0625 
0.1250000 0.5051820 0.0000000 0.0625 
0.1250000 -0.5051820 0.0000000 0.0625 
0.1250000 -0.3608443 0.0000000 0.0625 
0.1250000 -0.2165066 0.0000000 0.0625 
0.1250000 -0.0721689 0.0000000 0.0625 
0.2500000 0.1443377 0.0000000 0.0625 
0.2500000 0.2886754 0.0000000 0.0625 
0.2500000 0.4330131 0.0000000 0.0625 
0.2500000 0.5773508 0.0000000 0.0625 
0.2500000 -0.4330131 0.0000000 0.0625 
0.2500000 -0.2886754 0.0000000 0.0625 
0.2500000 -0.1443377 0.0000000 0.0625 
0.2500000 0.0000000 0.0000000 0.0625 
0.3750000 0.2165066 0.0000000 0.0625 
0.3750000 0.3608443 0.0000000 0.0625 
0.3750000 0.5051820 0.0000000 0.0625 
0.3750000 0.6495197 0.0000000 0.0625 
0.3750000 -0.3608443 0.0000000 0.0625 
0.3750000 -0.2165066 0.0000000 0.0625 
0.3750000 -0.0721689 0.0000000 0.0625 
0.3750000 0.0721689 0.0000000 0.0625 
-0.500000 -0.2886754 0.0000000 0.03125 
-0.500000 -0.1443377 0.0000000 0.0625 
-0.500000 0.0000000 0.0000000 0.0625 
-0.500000 0.1443377 0.0000000 0.0625 
-0.500000 -0.8660262 0.0000000 0.03125 
0.0000000000 0.0000000000 0.0000000000 0 
0.0277777778 0.0000000000 0.0000000000 0 
0.0555555556 0.0000000000 0.0000000000 0 
0.0833333333 0.0000000000 0.0000000000 0 
0.1111111111 0.0000000000 0.0000000000 0 
0.1388888889 0.0000000000 0.0000000000 0 
0.1666666667 0.0000000000 0.0000000000 0 
0.1944444444 0.0000000000 0.0000000000 0 
0.2222222222 0.0000000000 0.0000000000 0 
0.2500000000 0.0000000000 0.0000000000 0 
0.2777777778 0.0000000000 0.0000000000 0 
0.3055555556 0.0000000000 0.0000000000 0 
0.3333333333 0.0000000000 0.0000000000 0 
0.3611111111 0.0000000000 0.0000000000 0 
0.3888888889 0.0000000000 0.0000000000 0 
0.4166666667 0.0000000000 0.0000000000 0 
0.4444444444 0.0000000000 0.0000000000 0 
0.4722222222 0.0000000000 0.0000000000 0 
0.5000000000 0.0000000000 0.0000000000 0 
0.4833330000 0.0333330000 0.0000000000 0 
0.4666660000 0.0666660000 0.0000000000 0 
0.4499990000 0.0999990000 0.0000000000 0 
0.4333320000 0.1333320000 0.0000000000 0 
0.4166650000 0.1666650000 0.0000000000 0 
0.3999980000 0.1999980000 0.0000000000 0 
0.3833310000 0.2333310000 0.0000000000 0 
0.3666640000 0.2666640000 0.0000000000 0 
0.3499970000 0.2999970000 0.0000000000 0 
0.3333300000 0.3333300000 0.0000000000 0 
0.3174571429 0.3174571429 0.0000000000 0 
0.3015842857 0.3015842857 0.0000000000 0 
0.2857114286 0.2857114286 0.0000000000 0 
0.2698385714 0.2698385714 0.0000000000 0 
0.2539657143 0.2539657143 0.0000000000 0 
0.2380928571 0.2380928571 0.0000000000 0 
0.2222200000 0.2222200000 0.0000000000 0 
0.2063471429 0.2063471429 0.0000000000 0 
0.1904742857 0.1904742857 0.0000000000 0 
0.1746014286 0.1746014286 0.0000000000 0 
0.1587285714 0.1587285714 0.0000000000 0 
0.1428557143 0.1428557143 0.0000000000 0 
0.1269828571 0.1269828571 0.0000000000 0 
0.1111100000 0.1111100000 0.0000000000 0 
0.0952371429 0.0952371429 0.0000000000 0 
0.0793642857 0.0793642857 0.0000000000 0 
0.0634914286 0.0634914286 0.0000000000 0 
0.0476185714 0.0476185714 0.0000000000 0 
0.0317457143 0.0317457143 0.0000000000 0 
0.0158728571 0.0158728571 0.0000000000 0 
0.0000000000 0.0000000000 0.0000000000 0 






CELL_PARAMETERS {alat} 
1.000000000000d0 0.000000000000d0 0.000000000000d0 
-0.500000000000d0 0.866024603476d0 0.000000000000d0 
0.000000000000d0 0.000000000000d0 1.388144689097d0 


Best regards, 
Clarence 
CityU university of Hong Kong 





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