Arbitrary graphs don’t have a “dimension”. Only lattices do.
On 9 Nov 2017, at 14:12, Sun Rongyang sun-rongyang@outlook.com wrote:
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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