[ALPS-users] Long Range Kitaev Model site dependent Hamiltonian

[John Ian Kenneth E. Felismino]

Hello again.

I tried using an inhomogenous periodic 1D chain lattice defined as

<LATTICEGRAPH name = "inhomogeneous periodic chain lattice" vt_skip="true">
  <FINITELATTICE>
    <LATTICE ref="chain lattice"/>
    <EXTENT dimension="1" size="L"/>
    <BOUNDARY type="periodic"/>
  </FINITELATTICE>
  <UNITCELL ref="simple1d"/>
  <INHOMOGENEOUS><VERTEX/></INHOMOGENEOUS>
</LATTICEGRAPH>

and it still didn't work.

For the second solution, how do you assign coefficients for every source
and target? I need to find the difference for varying (long) ranges.

Thanks.
Ian Felismino


On Wed, Jun 28, 2017 at 12:53 PM, Michele Dolfi <dolfim at phys.ethz.ch> wrote:

> Actually both the “abs” and “^” operators seem to be allowed, but the
> problem might come from the (i-j) term.
> Using the coordinates in the coefficients is instead a non-trivial
> feature. It only works if you define the lattice as inhomogeneous. You
> should see some examples non the lattices.xml file.
>
> As an alternative solution, you could define the lattice as a graph and
> set independent coefficients on the bonds and edges. You should find other
> examples in the mailing list, or on this page https://alps.comp-phys.
> org/mediawiki/index.php/Tutorials:LatticeHOWTO:SimpleGraphs
>
>
> Best,
> Michele
>
>
> On 27 Jun 2017, at 08:14, John Ian Kenneth E. Felismino <
> jfelismino at nip.upd.edu.ph> wrote:
>
> Hi!
>
> The hamiltonian I'm using is attached as a picture file. As you can see,
> the bond terms are proportional to abs(i - j)^\alpha. i was wondering if
> this is possible in Alps because I have tried doing it (crudely) with DMRG
> and found that it did not produce an output xml. I had simply added the
> term "/abs(i-j)^alpha#" in my hamiltonian.  When I remove this term, the
> Hamiltonian works, so clearly the problem is with this proportionality term.
>
> Thanks.
> Ian Felismino
> <Kitaev Hamiltonian.png>
>
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