[ALPS-users] How to count dimension of graph defined in Lattice xml library

[Sun Rongyang]

Dear all,

The definition method of a lattice in ALPS is delicate. But I meet a problem about dimension counting of a pure graph. On the one hand, I define an pure anisotropic graph as:

*************************************************************************************************
<GRAPH name="anisotropic open ladder graph test">
    <!-- type="0" means horizontal; type="1" means vertical -->
    <EDGE tyep="0" source="1" target="2"/>
    <EDGE tyep="0" source="2" target="3"/>
    <EDGE tyep="0" source="3" target="4"/>
    <EDGE tyep="0" source="4" target="5"/>
    <EDGE tyep="0" source="6" target="7"/>
    <EDGE tyep="0" source="7" target="8"/>
    <EDGE tyep="0" source="8" target="9"/>
    <EDGE tyep="0" source="9" target="10"/>
    <EDGE tyep="1" source="1" target="6"/>
    <EDGE tyep="1" source="2" target="7"/>
    <EDGE tyep="1" source="3" target="8"/>
    <EDGE tyep="1" source="4" target="9"/>
    <EDGE tyep="1" source="5" target="10"/>
</GRAPH>
*************************************************************************************************
On the other hand, I use the default LATTICEGRAPH "open ladder", I copy here:

*************************************************************************************************
<LATTICE name="square lattice" dimension="2">
  <PARAMETER name="a" default="1"/>
  <BASIS><VECTOR>a 0</VECTOR><VECTOR>0 a</VECTOR></BASIS>
  <RECIPROCALBASIS><VECTOR>2*pi/a 0</VECTOR><VECTOR>0 2*pi/a</VECTOR></RECIPROCALBASIS>
</LATTICE>

<UNITCELL name="anisotropic2d" dimension="2">
  <VERTEX/>
  <EDGE type="0"><SOURCE vertex="1" offset="0 0"/><TARGET vertex="1" offset="1 0"/></EDGE>
  <EDGE type="1"><SOURCE vertex="1" offset="0 0"/><TARGET vertex="1" offset="0 1"/></EDGE>
</UNITCELL>

<LATTICEGRAPH name = "open ladder" vt_name="OpenLadderLattice">
  <FINITELATTICE>
    <LATTICE ref="square lattice"/>
    <PARAMETER name="W" default="2"/>
    <EXTENT dimension="1" size="L"/>
    <EXTENT dimension="2" size="W"/>
    <BOUNDARY dimension="1" type="open"/>
    <BOUNDARY dimension="2" type="open"/>
  </FINITELATTICE>
  <UNITCELL ref="anisotropic2d"/>
</LATTICEGRAPH>
*************************************************************************************************
with parameters L=2, W=5. Will they be treated as the same in ALPS? Or the graph equals as L=5,W=2 open ladder?

Thanks a lot!

Best regards,
Rongyang Sun



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