Kondo Lattice Model with Finite Temperature Lanczos Method

Abstract

We investigate the Kondo Lattice Model on 2D clusters using the Finite Temperature Lanczos Method. The temperature dependence of thermodynamic and correlations functions are systematically studied for various Kondo couplings JK. The ground state value of the total local moment is presented as well. Finally, the phase diagrams of the finite clusters are constructed for periodic and open boundary conditions. For the two boundary conditions, two different regimes are found for small JK/t, depending on the distribution of non-interacting conduction electron states. If there are states within JK around the Fermi level, two energy scales, linear and quadratic in JK, exist. The former is associated with the onsite screening and the latter with the RKKY interaction. If there are no states within JK around the Fermi level, the only energy scale is that of the RKKY interaction. Our results imply that the form of the electron density of states (DOS) plays an important role in the competition between the Kondo screening and the RKKY interaction. The former is stronger if the DOS is larger around the Fermi level, while the latter is less sensitive to the form of the DOS.

7 pages, 7 figures; corrected typos

References in corpus (11)

• Locally critical quantum phase transitions in strongly correlated metals
• The break up of heavy electrons at a quantum critical point
• Onset of antiferromagnetism in heavy fermion metals
• Hall-effect evolution across a heavy-fermion quantum critical point
• Spin and charge dynamics of the ferromagnetic and antiferromagnetic two-dimensional half-filled Kondo lattice model
• Coexisting Kondo singlet state with antiferromagnetic long-range order: A possible ground state for Kondo insulators
• Kondo spin liquid and magnetically long-range ordered states in the Kondo necklace model
• Schwinger Boson approach to the fully screened Kondo model
• Understanding the Heavy Fermion Phenomenology from Microscopic Model
• Finite temperature properties of the 2D Kondo lattice model
• Tunable "Doniach Phase Diagram" for strongly-correlated nanoclusters

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• Quantitative study of valence and configuration interaction parameters of the Kondo semiconductors CeM2Al10 (M = Ru, Os and Fe) by means of bulk-sensitive hard x-ray photoelectron spectroscopy
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• Stability of the 1/3 magnetization plateau of the $J_1-J_2$ kagome Heisenberg model
• Accuracy of the typicality approach using Chebyshev polynomials
• Moment screening in the correlated Kondo lattice model
• Finite-size scaling of typicality-based estimates
• Isothermal and adiabatic magnetization processes of the spin-$\frac{1}{2}$ Heisenberg model on an anisotropic triangular lattice
• Entanglement in Anderson Nanoclusters