dorsal/arxiv
View SchemaTopological $Z_4$ spin-orbital liquid on the honeycomb lattice
| Authors | Masahiko G. Yamada |
|---|---|
| Categories | |
| ArXiv ID | 2601.06549vv2 |
| URL | https://arxiv.org/abs/2601.06549 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
The density matrix renormalisation group (DMRG) is one of the most powerful numerical methods for strongly correlated condensed matter systems. We extend DMRG to the case with the $\mathrm{SU}(N_c)$ symmetry with $N_c > 2$, including two-dimensional systems. As a killer application, we simulate the ground state of the $\mathrm{SU}(4)$ Heisenberg model on the honeycomb lattice, which can potentially be realised in cold atomic systems and solid state systems like $\alpha$-ZrCl$_3$. We keep up to 12800 $\mathrm{SU}(4)$ states equivalent to more than a million $\mathrm{U}(1)$ states. This supermassive DMRG simulation reveals the quantum spin-orbital liquid ground state, which has been conjectured for more than a decade. The methodology developed here can be extended to any classical Lie groups, paving the way to a next-generation DMRG with a full symmetry implementation.
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"date_created": "2026-02-17T05:53:07.768000Z",
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"abstract": "The density matrix renormalisation group (DMRG) is one of the most powerful numerical methods for strongly correlated condensed matter systems. We extend DMRG to the case with the $\\mathrm{SU}(N_c)$ symmetry with $N_c \u003e 2$, including two-dimensional systems. As a killer application, we simulate the ground state of the $\\mathrm{SU}(4)$ Heisenberg model on the honeycomb lattice, which can potentially be realised in cold atomic systems and solid state systems like $\\alpha$-ZrCl$_3$. We keep up to 12800 $\\mathrm{SU}(4)$ states equivalent to more than a million $\\mathrm{U}(1)$ states. This supermassive DMRG simulation reveals the quantum spin-orbital liquid ground state, which has been conjectured for more than a decade. The methodology developed here can be extended to any classical Lie groups, paving the way to a next-generation DMRG with a full symmetry implementation.",
"arxiv_id": "2601.06549",
"authors": [
"Masahiko G. Yamada"
],
"categories": [
"cond-mat.str-el"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Topological $Z_4$ spin-orbital liquid on the honeycomb lattice",
"url": "https://arxiv.org/abs/2601.06549",
"version": "v2"
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