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Dear all,</div>
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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:</div>
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*************************************************************************************************</div>
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<div><GRAPH name="anisotropic open ladder graph test"></div>
<div> <!-- type="0" means horizontal; type="1" means vertical --></div>
<div> <EDGE tyep="0" source="1" target="2"/></div>
<div> <EDGE tyep="0" source="2" target="3"/></div>
<div> <EDGE tyep="0" source="3" target="4"/></div>
<div> <EDGE tyep="0" source="4" target="5"/></div>
<div> <EDGE tyep="0" source="6" target="7"/></div>
<div> <EDGE tyep="0" source="7" target="8"/></div>
<div> <EDGE tyep="0" source="8" target="9"/></div>
<div> <EDGE tyep="0" source="9" target="10"/></div>
<div> <EDGE tyep="1" source="1" target="6"/></div>
<div> <EDGE tyep="1" source="2" target="7"/></div>
<div> <EDGE tyep="1" source="3" target="8"/></div>
<div> <EDGE tyep="1" source="4" target="9"/></div>
<div> <EDGE tyep="1" source="5" target="10"/></div>
<div></GRAPH></div>
<div><span><span style="color: rgb(0, 0, 0); font-family: Calibri, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal;">*************************************************************************************************</span></span><br>
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<div>On the other hand, I use the default LATTICEGRAPH "open ladder", I copy here:</div>
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<div><span><span style="color: rgb(0, 0, 0); font-family: Calibri, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal;">*************************************************************************************************</span></span><br>
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<div><span>
<div><LATTICE name="square lattice" dimension="2"></div>
<div> <PARAMETER name="a" default="1"/></div>
<div> <BASIS><VECTOR>a 0</VECTOR><VECTOR>0 a</VECTOR></BASIS></div>
<div> <RECIPROCALBASIS><VECTOR>2*pi/a 0</VECTOR><VECTOR>0 2*pi/a</VECTOR></RECIPROCALBASIS></div>
<div></LATTICE></div>
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<div><span>
<div><UNITCELL name="anisotropic2d" dimension="2"></div>
<div> <VERTEX/></div>
<div> <EDGE type="0"><SOURCE vertex="1" offset="0 0"/><TARGET vertex="1" offset="1 0"/></EDGE></div>
<div> <EDGE type="1"><SOURCE vertex="1" offset="0 0"/><TARGET vertex="1" offset="0 1"/></EDGE></div>
<div></UNITCELL></div>
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<div><span>
<div><LATTICEGRAPH name = "open ladder" vt_name="OpenLadderLattice"></div>
<div> <FINITELATTICE></div>
<div> <LATTICE ref="square lattice"/></div>
<div> <PARAMETER name="W" default="2"/></div>
<div> <EXTENT dimension="1" size="L"/></div>
<div> <EXTENT dimension="2" size="W"/></div>
<div> <BOUNDARY dimension="1" type="open"/></div>
<div> <BOUNDARY dimension="2" type="open"/></div>
<div> </FINITELATTICE></div>
<div> <UNITCELL ref="anisotropic2d"/></div>
<div></LATTICEGRAPH></div>
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</span>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?</div>
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Thanks a lot!</div>
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Best regards,</div>
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Rongyang Sun</div>
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