DMRG. Density matrix renormalization group theory

[LagrangeEuler]

Why density matrix renormalization group theory works only for 1D systems?

 

[atyy]

There are generalizations to higher dimensions using matrix product states (and other tensor networks like the MERA).
http://arxiv.org/abs/1008.3477v2
http://arxiv.org/abs/1308.3318
http://arxiv.org/abs/1306.2164

 

[LagrangeEuler]

Interesting. Is iti possible to do Heisenberg Hamiltonian in this way?

There are generalizations to higher dimensions using matrix product states (and other tensor networks like the MERA).
http://arxiv.org/abs/1008.3477v2
http://arxiv.org/abs/1308.3318
http://arxiv.org/abs/1306.2164

 

[atyy]

I googled and found some discussion about the Heisenberg model in http://arxiv.org/abs/1405.3259.