# Dimensional crossover in the SU(4) Heisenberg model in the six-dimensional antisymmetric self-conjugate representation revealed by quantum Monte Carlo and linear flavor-wave theory

@article{Kim2019DimensionalCI, title={Dimensional crossover in the SU(4) Heisenberg model in the six-dimensional antisymmetric self-conjugate representation revealed by quantum Monte Carlo and linear flavor-wave theory}, author={Francisco Hyunkyu Kim and Fakher F. Assaad and Karlo Penc and Fr{\'e}d{\'e}ric Mila}, journal={Physical Review B}, year={2019} }

The antiferromagnetic SU(4) Heisenberg model at half-filling in the fully antisymmetric six-dimensional irreducible representation is investigated, in particular the phase transition that occurs between the two-dimensional square lattice and the one-dimensional chains when tuning the inter-chain coupling. The auxiliary field quantum Monte Carlo (QMC) and the linear flavor-wave theory (LFWT) are used to study this transition. The LFWT, which had previously predicted a long-range…

## 5 Citations

### Dimer description of the SU(4) antiferromagnet on the triangular lattice

- PhysicsSciPost Physics
- 2020

In systems with many local degrees of freedom, high-symmetry points in the phase diagram can provide an important starting point for the investigation of their properties throughout the phase…

### Quantum spin liquid phases in the bilinear-biquadratic two-SU(4)-fermion Hamiltonian on the square lattice

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- 2020

We consider the phase diagram of the most general SU(4)-symmetric two-site Hamiltonian for a system of two fermions per site (ie self-conjugate $\bf 6$ representation) on the square lattice. It is…

### Transition from band insulator to Mott insulator and formation of local moment in the half-filled ionic SU(N) Hubbard model

- PhysicsPhysical Review B
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We investigate the local moment formation in the half-ﬁlled SU( N ) Hubbard model under a staggered ionic potential. As the Hubbard U increases, the charge ﬂuctuations are suppressed and eventually…

### Slater and Mott insulating states in the SU(6) Hubbard model

- Physics, Materials SciencePhysical Review B
- 2019

We perform large scale projector determinant quantum Monte-Carlo simulations to study the insulating states of the half-filled SU(6) Hubbard model on the square lattice. The transition from the…

### The ALF (Algorithms for Lattice Fermions) project release 2.0. Documentation for the auxiliary-field quantum Monte Carlo code

- PhysicsSciPost Physics Codebases
- 2022

The Algorithms for Lattice Fermions package provides a general code for the finite temperature auxiliary field quantum Monte Carlo algorithm and discusses how to use the package to implement the Kondo lattice model and the $SU(N)$-Hubbard-Heisenberg model.

## References

SHOWING 1-10 OF 45 REFERENCES

### Dynamical Symmetry Enlargement Versus Spin-Charge Decoupling in the One-Dimensional SU(4) Hubbard Model

- Physics
- 2004

We investigate dynamical symmetry enlargement in the half-filled SU(4) Hubbard chain using non-perturbative renormalization group and Quantum Monte Carlo techniques. A spectral gap is shown to open…

### SU(N) quantum spin models: a variational wavefunction study

- Physics
- 2007

SU(N) quantum spin systems may be realized in a variety of physical systems including ultracold atoms in optical lattices. The study of such models also leads to insights into possible novel quantum…

### Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm

- Physics
- 2004

We present the critical theory of a number of zero-temperature phase transitions of quantum antiferromagnets and interacting boson systems in two dimensions. The most important example is the…

### Quantum magnetic properties of the SU(2N) Hubbard model in the square lattice: a quantum Monte Carlo study

- Physics
- 2013

We employ the determinant projector quantum Monte-Carlo method to investigate the ground state magnetic properties in the Mott insulating states of the half-filled SU(4) and SU(6) Fermi-Hubbard model…

### Topological liquids and valence cluster states in two-dimensional SU(N) magnets

- Physics
- 2011

We study the zero temperature phase diagram of a class of two-dimensional SU(N) antiferromagnets. These models are characterized by having the same type of SU(N) spin placed at each site of the…

### Competing orders in the 2D half-filled SU(2N) Hubbard model through the pinning-field quantum Monte Carlo simulations.

- PhysicsPhysical review letters
- 2014

The ground state magnetic properties of the 2D half-filled SU(2N) Hubbard model in the square lattice are investigated by using the projector determinant quantum Monte Carlo simulations combined with the method of local pinning fields to find long-range Néel orders.

### Direct Probing of the Mott Crossover in the SU(N) Fermi-Hubbard Model

- Physics
- 2016

We report on a detailed experimental investigation of the equation of state (EoS) of the three-dimensional Fermi-Hubbard model (FHM) in its generalized SU(N)-symmetric form, using a degenerate…

### Plaquette order in the SU(6) Heisenberg model on the honeycomb lattice

- Physics
- 2016

We revisit the SU(6) Heisenberg model on the honeycomb lattice, which has been predicted to be a chiral spin liquid by mean-field theory [G. Szirmai et al., Phys. Rev. A 84, 011611(R) (2011)]. Using…

### Phase diagram of the half-filled two-dimensional SU(N) Hubbard-Heisenberg model : A quantum Monte Carlo study

- Physics
- 2005

We investigate the phase diagram of the half-filled $\mathrm{SU}(N)$ Hubbard-Heisenberg model with hopping $t$, exchange $J$, and Hubbard $U$, on a two-dimensional square lattice. In the large-$N$…

### Chiral Spin Liquids in Triangular-Lattice SU(N) Fermionic Mott Insulators with Artificial Gauge Fields.

- PhysicsPhysical review letters
- 2016

We show that, in the presence of a π/2 artificial gauge field per plaquette, Mott insulating phases of ultracold fermions with SU(N) symmetry and one particle per site generically possess an extended…