Hello !
I am trying to plot the surface LDOS of a 3d cubic lattice .But I am
having an error .Please have a look at the code this code is for topological
insulator on a cubic lattice.It generates the correct band structure but
not LDOS and conductance:I am not mentioning the libraries to keep it
small.I have tried using the 3rd dimension zero it still not working
lat = kwant.lattice.general([(1,0,0),(0,1,0),(0,0,1)])
# All pauli matrices to define pseuospin and spin degree of freedom.
s_0=np.identity(2)
s_z =np.array([[1, 0], [0, -1]])
s_x = np.array([[0, 1], [1, 0]])
s_y = np.array([[0, -1j], [1j, 0]])
# 4x4 matrices
g1= tinyarray.array(np.kron(s_x,s_x))
g2= tinyarray.array(np.kron(s_y,s_x))
g3 = tinyarray.array(np.kron(s_z,s_x))
g4= tinyarray.array(np.kron(s_0,s_y))
g5 = tinyarray.array(np.kron(s_0,s_z))
def make(a = 14 ,b = 5, c= 0,t=1,delta =.4,m =2):
sym = kwant.TranslationalSymmetry((1,0,0))
sys = kwant.Builder()
def cube(pos):
x,y,z = pos
return 0<=x<=a and 0<=y<=b and 0<=z<=c
#Onsite energy
sys[lat.shape(cube,(0,0,0))] = m*tau_0z
#hopping in x direction
sys[kwant.builder.HoppingKind((1, 0,0), lat,lat)] = -t*tau_0z -
1j*delta*tau_zx
#hopping in y direction
sys[kwant.builder.HoppingKind((0,1,0), lat,lat)] = -t*tau_0z +
1j*delta*tau_0y
#hopping in z direction
sys[kwant.builder.HoppingKind((0,0,1), lat,lat)] = -t*tau_0z -
1j*delta*tau_xx
#leads
lead = kwant.Builder(sym)
def cube1(pos):
x,y,z = pos
return 0<=y<=b and 0<=z<=c
#Onsite energy
lead[lat.shape(cube,(0,0,0))] = m*tau_0z
#hopping in x direction
lead[kwant.builder.HoppingKind((1, 0,0), lat,lat)] = -t*tau_0z -
1j*delta*tau_zx
#hopping in y direction
lead[kwant.builder.HoppingKind((0,1,0), lat,lat)] = -t*tau_0z +
1j*delta*tau_0y
#hopping in z direction
sys[kwant.builder.HoppingKind((0,0,1), lat,lat)] = -t*tau_0z -
1j*delta*tau_xx
sys.attach_lead(lead)
sys.attach_lead(lead.reversed())
return sys.finalized()
return sys
energy =.5
def density(sys, energy, args, lead_nr):
wf = kwant.wave_function(sys, energy, args)
return(abs(wf(lead_nr))**2).sum(axis=0)
def lds(sys, energy, args, lead_nr):
dos = kwant.ldos(sys, energy, args)
return dos
#main funcation call
def main():
sys = make()
kwant.plot(sys, site_size=0.19, site_lw=0.01, hop_lw=0.03,site_color = 'c')
d = density(sys, energy, [.0, "" ], 0)
kwant.plotter.map(sys,d)
s = lds(sys,energy,[.0, "" ], 0)
kwant.plotter.map(sys,s)
if __name__ == '__main__':
main()
the error is :
ValueError: Only 2D systems can be plotted this way.
