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

[Matthias Troyer]

Yes that should work. 

> On 10 Nov 2017, at 00:00, Sun Rongyang <sun-rongyang at outlook.com> wrote:
> 
> Dear Troyer,
> 
> Thanks so much for your response. Your answer has solved my question. I am sorry but I have another small question here. Whether a pure graph can use "type" attribute in EDGE as in a UNITCELL? I tried to use it but got some puzzling results.
> 
> Best regards,
> Rongyang
> 
> 发件人: Comp-phys-alps-users <comp-phys-alps-users-bounces at lists.phys.ethz.ch> 代表 Matthias Troyer <troyer at phys.ethz.ch>
> 发送时间: 2017年11月9日 7:19
> 收件人: comp-phys-alps-users at lists.phys.ethz.ch
> 主题: Re: [ALPS-users] How to count dimension of graph defined in Lattice xml library
>  
> Arbitrary graphs don’t have a “dimension”. Only lattices do.
> 
>> On 9 Nov 2017, at 14:12, Sun Rongyang <sun-rongyang at 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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