the way that attaching the leads works in kwant requires that the scattering region contains the same lattice as the leads. However, you can still easily achieve what you want: You only have to add a thin slice of lead lattice to the scattering region, this will also allow you to define all the irregular hoppings from the lead lattice to the scattering region. Then you can use attach_lead to add the lead to the system.
Adding a thin slice of lead lattice to the scattering region only creates a negligible computational overhead, and gives the same physical result (as what is "scattering region" and what is "lead" is mostly a matter of definition).
I have included below a small proof-of-principle example that shows how to do it. (Remark: of course, for a real application the main challenges are how to organize which hoppings one should take into account, and which values to give them ... )
import kwant import matplotlib.pyplot
# this is an example how one could handle an amorphous system, # namely by defining a corresponding new SiteFamily class Amorphous(kwant.builder.SiteFamily): def __init__(self, coords): self.coords = coords super(Amorphous, self).__init__("amorphous", "") # remark: in a production code one should choose a # meaningful and unique represenation name
def normalize_tag(self, tag): try: tag = int(tag) except: raise KeyError
if 0 <= tag < len(coords): return tag else: raise KeyError
def pos(self, tag): return self.coords[tag]
coords = [(1, 0), (1.1, 1.2), (1.7, 0.9), (2.1, 0.2)] amorphous_lat = Amorphous(coords) regular_lat = kwant.lattice.square()
sys = kwant.Builder()
# first add some irregular scattering region for i in xrange(4): sys[amorphous_lat(i)] = None for i in xrange(3): sys[amorphous_lat(i), amorphous_lat(i+1)] = None sys[amorphous_lat(3), amorphous_lat(0)] = None
# now we add the first slice of the lead to the scattering region for i in xrange(2): sys[regular_lat(0, i)] = None sys[regular_lat.neighbors()] = None
# now we add (by hand) the hopping to the amourphous material sys[amorphous_lat(0), regular_lat(0, 0)] = None sys[amorphous_lat(1), regular_lat(0, 1)] = None
# finally we make a regular lead and attach it lead = kwant.Builder(kwant.TranslationalSymmetry((-1, 0))) for i in xrange(2): lead[regular_lat(0, i)] = None lead[regular_lat.neighbors()] = None sys.attach_lead(lead)
def color(site): if site.family == amorphous_lat: return "orange" else: return "black"
On 22.07.2014 07:35, Yuanxi Wang wrote:
I'd like to know if it is possible to construct/attach leads with lattices different from the main scattering region, or even leads with custom geometry unrelated to the scattering region?
For example if my scattering region is an amorphous cluster whose geometry have defined by hand, and I want to build leads using their own lattice to the left and right. Is that allowed in KWANT?
(Of course in that case one would need define bonds/hoppings between and within the leads, and also from the lead to the main scattering region... but how..)
-- Yuanxi Wang, Pennsylvania State University Department of Physics 104 Davey Lab #117, University Park, PA 16802