The classical two-dimensional Heisenberg model revisited: An $SU(2)$-symmetric tensor network study

@article{Schmoll2021TheCT,
  title={The classical two-dimensional Heisenberg model revisited: An \$SU(2)\$-symmetric tensor network study},
  author={Philipp Schmoll and Augustine Kshetrimayum and Jens Eisert and Rom{\'a}n Or{\'u}s and M. Rizzi},
  journal={SciPost Physics},
  year={2021}
}
The classical Heisenberg model in two spatial dimensions constitutes one of the most paradigmatic spin models, taking an important role in statistical and condensed matter physics to understand magnetism. Still, despite its paradigmatic character and the widely accepted ban of a (continuous) spontaneous symmetry breaking, controversies remain whether the model exhibits a phase transition at finite temperature. Importantly, the model can be interpreted as a lattice discretization of the O(3)O(3… Expand

References

SHOWING 1-10 OF 115 REFERENCES
Tensor Network Annealing Algorithm for Two-Dimensional Thermal States.
TLDR
A tensor network algorithm able to simulate thermal states of two-dimensional quantum lattice systems in the thermodynamic limit to resemble the cooling down of the system from an infinite temperature state until it reaches the desired finite-temperature regime is introduced. Expand
Tensor network investigation of the double layer Kagome compound Ca10Cr7O28
Abstract Quantum spin liquids are exotic quantum phases of matter that do not order even at zero temperature. While there are several toy models and simple Hamiltonians that could host a quantum spinExpand
Gross–Neveu–Wilson model and correlated symmetry-protected topological phases
We show that a Wilson-type discretization of the Gross-Neveu model, a fermionic N-flavor quantum field theory displaying asymptotic freedom and chiral symmetry breaking, can serve as a playground toExpand
On the Possible Phase Transition for Two‐Dimensional Heisenberg Models
Recently the authors presented evidence suggesting the presence of a phase transition for two‐dimensional Heisenberg models with nearest‐neighbor ferromagnetic interactions and S>½. Here we furtherExpand
A simple tensor network algorithm for two-dimensional steady states
TLDR
A tensor network method is presented that can find the steady state of 2D driven-dissipative many-body models, based on the intuition that strong dissipation kills quantum entanglement before it gets too large to handle. Expand
Spin-S Kagome quantum antiferromagnets in a field with tensor networks
Spin-$S$ Heisenberg quantum antiferromagnets on the Kagome lattice offer, when placed in a magnetic field, a fantastic playground to observe exotic phases of matter with (magnetic analogs of)Expand
All spin-1 topological phases in a single spin-2 chain
Here we study the emergence of different Symmetry-Protected Topological (SPT) phases in a spin-2 quantum chain. We consider a Heisenberg-like model with bilinear, biquadratic, bicubic, and biquarticExpand
Scaling Hypothesis for Matrix Product States.
TLDR
A double data collapse is demonstrated for the correlation length δξ(μ,λ,D)=ξ[over ˜]((α-α_{c})(δ/a)^{-1/ν}) with D the bond dimension, δ the gap between eigenvalues of the transfer matrix, and α_{c}. Expand
Quasi-long-range ordering in a finite-size 2D classical Heisenberg model
We analyse the low-temperature behaviour of the classical isotropic ferromagnetic Heisenberg model on a two-dimensional square lattice of finite size. Presence of a residual magnetization in aExpand
Approaching the Kosterlitz-Thouless transition for the classical XY model with tensor networks.
We apply variational tensor-network methods for simulating the Kosterlitz-Thouless phase transition in the classical two-dimensional XY model. In particular, using uniform matrix product states (MPS)Expand
...
1
2
3
4
5
...