# Fermi surface and antiferromagnetism in the Kondo lattice: an asymptotically exact solution in d>1 dimensions.

@article{Yamamoto2007FermiSA, title={Fermi surface and antiferromagnetism in the Kondo lattice: an asymptotically exact solution in d>1 dimensions.}, author={Seiji J. Yamamoto and Qimiao Si}, journal={Physical review letters}, year={2007}, volume={99 1}, pages={ 016401 } }

Interest in the heavy fermion metals has motivated us to examine the quantum phases and their Fermi surfaces within the Kondo lattice model. We demonstrate that the model is soluble asymptotically exactly in any dimension d>1, when the Kondo coupling is small compared with the RKKY interaction and in the presence of antiferromagnetic ordering. We show that the Kondo coupling is exactly marginal in the renormalization group sense, establishing the stability of an ordered phase with a small Fermi…

## 27 Citations

Global Phase Diagram of the Kondo Lattice: From Heavy Fermion Metals to Kondo Insulators

- Physics
- 2010

We discuss the general theoretical arguments advanced earlier for the T=0 global phase diagram of antiferromagnetic Kondo lattice systems, distinguishing between the established and the conjectured.…

Antiferromagnetic phase of the Kondo insulator

- PhysicsPhysical Review B
- 2018

We discuss the quasiparticle band structure of the antiferromagnetic phase of the planar Kondo lattice model with a half-filled conduction band, the so-called Kondo insulator. The band structure is…

Magnetism and the Fermi surface in heavy fermion metals

- Physics
- 2009

Magnetism and Fermi Surface in Heavy Fermion Metals by Seiji James Yamamoto With a multitude of different phases and quantum critical points, heavy fermion materials should reign supreme as the…

Quantum criticality and global phase diagram of magnetic heavy fermions

- Physics
- 2010

Quantum criticality describes the collective fluctuations of matter undergoing a second‐order phase transition at zero temperature. It is being discussed in a number of strongly correlated electron…

Fractionalized Fermi liquid in a frustrated Kondo lattice model

- PhysicsPhysical Review B
- 2019

We consider Dirac electrons on the honeycomb lattice Kondo coupled to spin-1/2 degrees of freedom on the kagome lattice. The interactions between the spins are chosen along the lines of the…

Metallic ferromagnetism in the Kondo lattice

- PhysicsProceedings of the National Academy of Sciences
- 2010

It is shown that the ferromagnetic order of the Kondo lattice is amenable to an asymptotically exact analysis over a range of interaction parameters, and the prospect for a new class of ferromagnetism quantum phase transitions is raised.

Quantum phase transitions in heavy fermion metals and Kondo insulators

- Physics
- 2013

Strongly correlated electron systems at the border of magnetism are of active current interest, particularly because the accompanying quantum criticality provides a route towards both strange‐metal…

From itinerant to local-moment antiferromagnetism in Kondo lattices: Adiabatic continuity versus quantum phase transitions

- Physics
- 2008

Motivated by both experimental and theoretical activities, we discuss the fate of Kondo screening and possible quantum phase transitions in antiferromagnetically ordered phases of Kondo lattices.…

Kondo Destruction and Quantum Criticality in Kondo Lattice Systems

- Physics
- 2014

Considerable efforts have been made in recent years to theoretically understand quantum phase transitions in Kondo lattice systems. A particular focus is on Kondo destruction, which leads to quantum…

## References

SHOWING 1-10 OF 30 REFERENCES

Crossover and scaling in a nearly antiferromagnetic Fermi liquid in two dimensions.

- PhysicsPhysical review. B, Condensed matter
- 1995

This paper considers two-dimensional Fermi liquids in the vicinity of a quantum transition to a phase with commensurate, antiferromagnetic long-range order and proposes a universal scaling function which determines the entire, temperature-, wave-vector-, and frequency-dependent, dynamic, staggered spin susceptibility in terms of four experimentally measurable, T=0 parameters.

Effect of a nonzero temperature on quantum critical points in itinerant fermion systems.

- PhysicsPhysical review. B, Condensed matter
- 1993

I reexamine the work of Hertz on quantum phase transitions in itinerant fermion systems and obtains different regimes of behavior of the correlation length and free energy in the disordered phase of the effective bosonic theory.

Kondo bosons and the Kondo lattice: Microscopic basis for the heavy Fermi liquid.

- PhysicsPhysical review letters
- 1986

A consistent Fermi-liquid theory of heavy-electron compounds at low temperatures is microscopically derived from the Kondo-lattice model by exploiting fluctuations of effective valence-conduction hybridization parameters.

Hall-effect evolution across a heavy-fermion quantum critical point

- PhysicsNature
- 2004

Measurements of the low-temperature Hall coefficient (RH)—a measure of the Fermi surface volume—in the heavy-fermion metal YbRh2Si2 upon field-tuning it from an antiferromagnetic to a paramagnetic state are reported.

Local fluctuations in quantum critical metals

- Physics
- 2003

We show that spatially local, yet low-energy, fluctuations can play an essential role in the physics of strongly correlated electron systems tuned to a quantum critical point. A detailed microscopic…

Locally critical quantum phase transitions in strongly correlated metals

- PhysicsNature
- 2001

The theoretical finding of a locally critical quantum phase transition in a model of heavy fermions is reported, and local criticality is proposed to be a phenomenon of general relevance to strongly correlated metals.

Weak magnetism and non-Fermi liquids near heavy-fermion critical points

- Physics
- 2004

This paper is concerned with the weak-moment magnetism in heavy-fermion materials and its relation to the non-Fermi liquid physics observed near the transition to the Fermi liquid. We explore the…

Scaling approach to itinerant quantum critical points

- Physics
- 2004

Based on phase space arguments, we develop a simple approach to metallic quantum critical points, designed to study the problem without integrating the fermions out of the partition function. The…

Renormalization Group Approach to Strong-Coupled Superconductors

- Physics
- 2005

We develop an asymptotically exact renormalization-group approach that treats electron-electron and electron-phonon interactions on an equal footing. The approach allows an unbiased study of the…