[ALPS-users] Two-dimensional system with MPS

[Michele Dolfi]

Hello,

Yes, the code can handle 2d systems.
Yes, to use it you just have to specify the lattice.

Which sizes do you want to run?
Unfortunately running higher dimensional DMRG simulations is a highly non trivial task.
Special care has to be taken for understanding the convergence with respect to the number of sweeps and the MPS bond dimension.
For an example on how to treat it for “just ladders”, you can have a look here: https://doi.org/10.1103/PhysRevB.92.195139 <https://doi.org/10.1103/PhysRevB.92.195139>


Best regards,
Michele


> On 6 Jul 2017, at 06:32, H <w.boson at gmail.com> wrote:
> 
> Dear Michele or others,
> 
> In your paper (arXiv:1407.0872)'s abstract you mentioned the MPS code can handle 2D system. Is it as simple as setting the 'LATTICE' parameter to "open square lattice", or do I need to build a custom 1D lattice with long-range coupling?
> 
> I tried setting 'LATTICE' to "open square lattice" but the results seems different from my ED result. The system is spinful fermionic. Could it be due to fermion signs not properly taken care of internally?
> 
> Ultimately I need to simulate a small 3D system (3x3x3). Can I use the internal cubic lattice or do I need to build a custom 1D lattice with long-range coupling?
> 
> 
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