# Phase diagram and dynamics of the SU(N) symmetric Kondo lattice model

@article{Raczkowski2019PhaseDA, title={Phase diagram and dynamics of the SU(N) symmetric Kondo lattice model}, author={M. Raczkowski and Fakher F. Assaad}, journal={Physical Review Research}, year={2019} }

In heavy-fermion systems, the competition between the local Kondo physics and intersite magnetic fluctuations results in unconventional quantum critical phenomena which are frequently addressed within the Kondo lattice model (KLM). Here we study this interplay in the SU($N$) symmetric generalization of the two-dimensional half-filled KLM by quantum Monte Carlo simulations with $N$ up to 8. While the long-range antiferromagnetic (AF) order in SU($N$) quantum spin systems typically gives way to…

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## References

SHOWING 1-10 OF 147 REFERENCES

### Possibility of deconfined criticality in SU(N) Heisenberg models at small N

- Physics
- 2013

To examine the validity of the scenario of the deconfined critical phenomena, we carry out a quantum Monte Carlo simulation for the SU($N$) generalization of the Heisenberg model with four-body and…

### 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-$N$…

### 1 N expansion for the Kondo lattice

- Physics
- 1983

A diagrammatic expansion is developed for the partition function of a lattice of spin-$j$ local moments interacting with a band via the Coqblin-Schrieffer exchange interaction. By examining the limit…

### Dimerized solids and resonating plaquette order in SU(N)-Dirac fermions.

- PhysicsPhysical review letters
- 2013

The results support a direct transition between the semimetal and an antiferromagnetic insulator in the SU(2) limit and compare the numerical results to a saddle-point approximation in the large-N limit.

### Lattice model for the SU(N) Néel to valence-bond solid quantum phase transition at large N.

- PhysicsPhysical review letters
- 2012

It is shown that both order parameters vanish at a single quantum-critical point, whose universal exponents for large enough N (here up to N=12) approach the values obtained in a 1/N expansion of the noncompact CP(N-1) field theory.

### Heavy-fermion and spin-liquid behavior in a Kondo lattice with magnetic frustration

- Physics
- 2002

We study the competition between the Kondo effect and frustrating exchange interactions in a Kondo-lattice model within a large-${\cal N}$ dynamical mean-field theory. We find a T=0 phase transition…

### The ground-state phase diagram of the one-dimensional Kondo lattice model

- Physics
- 1997

The periodic Anderson and Kondo lattice model describe the physics of conduction electrons in extended orbitals interacting with strongly correlated electrons in localized orbitals. These models are…

### Frustration and the Kondo Effect in Heavy Fermion Materials

- Physics
- 2010

The observation of a separation between the antiferromagnetic phase boundary and the small-large Fermi surface transition in recent experiments has led to the proposal that frustration is an…

### Mott insulating states and quantum phase transitions of correlated SU ( 2 N ) Dirac fermions

- Physics
- 2016

The interplay between charge and spin degrees of freedom in strongly correlated fermionic systems, in particular of Dirac fermions, is a long-standing problem in condensed matter physics. We…

### Quantum phase transitions in bilayer SU(N) anti-ferromagnets

- Physics
- 2012

We present a detailed study of the destruction of SU(N) magnetic order in square lattice bilayer anti-ferromagnets using unbiased quantum Monte Carlo numerical simulations and field theoretic…