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

[Michele Dolfi]

I think you need:
<INHOMOGENEOUS><EDGE/></INHOMOGENEOUS>

For the second case, you need to define a graph with different edge types, then you can assign the values in the parameters with:
coeff0=…
coeff1=…
…


Note that there is no automatic lattice graph for an all-to-all graph. This you need to define yourself in a graph file.


Michele


> On 28 Jun 2017, at 09:38, John Ian Kenneth E. Felismino <jfelismino at nip.upd.edu.ph> wrote:
> 
> 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 <mailto: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 <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 <mailto: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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