I think the issue is discussed in some detail in Phys. Rev. B 94, 085415 this is implented in pw.x, ph.x, q2r and matdyn by setting assume_isolated="2D", see also the manual:

'2D' :

    Truncation of the Coulomb interaction in the z direction
    for structures periodic in the x-y plane. Total energy,
    forces and stresses are computed in a two-dimensional framework.
    Linear-response calculations () done on top of a self-consistent
    calculation with this flag will automatically be performed in
    the 2D framework as well. Please refer to:
    Sohier, T., Calandra, M., & Mauri, F. (2017), Density functional
    perturbation theory for gated two-dimensional heterostructures:
Theoretical developments and application to flexural phonons in graphene. Physical Review B, 96(7), 75448. https://doi.org/10.1103/PhysRevB.96.075448

    NB:
       - The length of the unit-cell along the z direction should
         be larger than twice the thickness of the 2D material
         (including electrons). A reasonable estimate for a
         layer's thickness could be the interlayer distance in the
         corresponding layered bulk material. Otherwise,
         the atomic thickness + 10 bohr should be a safe estimate.
         There is also a lower limit of 20 bohr imposed by the cutoff
radius used to read pseudopotentials (see read_pseudo.f90 in Modules).

       - As for ESM above, only in-plane stresses make sense and one
         should use cell_dofree='2Dxy' in a vc-relax calculation.




On 6/1/19 8:36 PM, Stefano Baroni wrote:
... of course, I meant “one”, not “zero” ... SB

___
Stefano Baroni, Trieste -- http://stefano.baroni.me

On 1 Jun 2019, at 13:17, Stefano Baroni <[email protected] <mailto:[email protected]>> wrote:

Not sure what you want to compute, but the dielectric constant of a 2D material is either zero or ill-defined, according to how you see it. Try for yourself what happens by doubling the interplanar spacing, which should not matter if you are interested in the properties of an isolated 2D sheet. SB

--
Stefano Baroni, Trieste -- swift message written and sent on the go

On 1 Jun 2019, at 12:53, Sabike Ghasemi <[email protected] <mailto:[email protected]>> wrote:

hi all,
i did PHONONIC calculation and DYNMAT calculation for calculating of dielectric constant of a 2d material. my out file is:


     Program DYNMAT v.6.3MaX starts on  1Jun2019 at 20: 7:51

     This program is part of the open-source Quantum ESPRESSO suite
     for quantum simulation of materials; please cite
         "P. Giannozzi et al., J. Phys.:Condens. Matter 21 395502 (2009 <callto:21 395502 (2009>);          "P. Giannozzi et al., J. Phys.:Condens. Matter 29 465901 (2017 <callto:29 465901 (2017>);
          URL http://www.quantum-espresso.org";,
     in publications or presentations arising from this work. More details at
http://www.quantum-espresso.org/quote

     Parallel version (MPI), running on     4 processors

     MPI processes distributed on     1 nodes
     R & G space division:  proc/nbgrp/npool/nimage =       4

     Reading Dynamical Matrix from file ice.dynG
     ...Force constants read
     ...epsilon and Z* read
     A direction for q was not specified:TO-LO splitting will be absent

     Polarizability (A^3 units)
     multiply by 0.957978 for Clausius-Mossotti correction
8.324588    0.005349 <callto:8.324588 0.005349>    0.014641
0.005349    8.319854 <callto:0.005349 8.319854>    0.008335
0.014643    0.008337 <callto:0.014643 0.008337>    4.733133

     IR activities are in (D/A)^2/amu units

# mode   [cm-1]    [THz]      IR
1     68.10    2.0416 <callto:1 68.10 2.0416>    0.0390
2     92.11    2.7615 <callto:2 92.11 2.7615>    0.0437
3    105.83    3.1728 <callto:3 105.83 3.1728>    0.0170
4    118.67    3.5575 <callto:4 118.67 3.5575>    0.0073
5    143.19    4.2926 <callto:5 143.19 4.2926>    0.0184
6    174.06    5.2181 <callto:6 174.06 5.2181>    0.0166
7    188.29    5.6449 <callto:7 188.29 5.6449>    0.0220
8    197.18    5.9112 <callto:8 197.18 5.9112>    0.0728
9    210.77    6.3186 <callto:9 210.77 6.3186>    0.1032
10    222.12    6.6589 <callto:10 222.12 6.6589>    0.1143
11    242.57    7.2720 <callto:11 242.57 7.2720>    0.0639
12    259.72    7.7863 <callto:12 259.72 7.7863>    0.6321
13    284.43    8.5270 <callto:13 284.43 8.5270>    0.0361
14    344.19   10.3186 <callto:14 344.19 10.3186>    0.1235
15    349.74   10.4849 <callto:15 349.74 10.4849>    0.2905
16    401.58   12.0390 <callto:16 401.58 12.0390>    0.2049
17    459.16   13.7654 <callto:17 459.16 13.7654>    3.0010
18    485.68   14.5603 <callto:18 485.68 14.5603>    0.1163
19    512.01   15.3497 <callto:19 512.01 15.3497>    7.3524
20    547.15   16.4031 <callto:20 547.15 16.4031>    0.0176
21    572.56   17.1649 <callto:21 572.56 17.1649>    1.6482
22    578.65   17.3474 <callto:22 578.65 17.3474>    3.4530
23    655.06   19.6383 <callto:23 655.06 19.6383>    0.0721
24    669.05   20.0576 <callto:24 669.05 20.0576>    8.1208
25   1615.69   48.4370 <callto:25 1615.69 48.4370>    3.8476
26   1618.08   48.5088 <callto:26 1618.08 48.5088>    1.0009
27   1621.49   48.6109 <callto:27 1621.49 48.6109>    2.5108
28   1702.50   51.0397 <callto:28 1702.50 51.0397>    0.0050
29   3538.51  106.0819 <callto:29 3538.51 106.0819>    9.6552
30   3553.03  106.5171 <callto:30 3553.03 106.5171>   22.1032
31   3594.79  107.7691 <callto:31 3594.79 107.7691>    3.9027
32   3606.19  108.1109 <callto:32 3606.19 108.1109>    0.7098
33   3678.64  110.2830 <callto:33 3678.64 110.2830>    0.1321
34   3690.93  110.6514 <callto:34 3690.93 110.6514>    4.7531
35   3694.76  110.7662 <callto:35 3694.76 110.7662>   17.1649
36   3712.49  111.2976 <callto:36 3712.49 111.2976>    7.8939

Electronic dielectric permittivity tensor (F/m units)
1.153734    0.000099 <callto:1.153734 0.000099>    0.000270
0.000099    1.153647 <callto:0.000099 1.153647>    0.000154
0.000270    0.000154 <callto:0.000270 0.000154>    1.087409

 ... with zone-center polar mode contributions
1.319859    0.006043 <callto:1.319859 0.006043>    0.059567
0.006043    1.280091 <callto:0.006043 1.280091>    0.002674
0.059567    0.002674 <callto:0.059567 0.002674>    1.183898


     DYNMAT       :     0.08s CPU         0.12s WALL


   This run was terminated on:  20: 7:51   1Jun2019

=------------------------------------------------------------------------------=
   JOB DONE.
=------------------------------------------------------------------------------=



in my out file two dielectric tansors are calculated. the first is electronic part(infinite dielectric constant) and the second is total part(ionic and electronic partition).
however,my question : why is non-diagonal elements nonzero?
 is my calculation wrong?
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