# Energy scales of the doped Anderson lattice model

## Abstract

This paper explores the energy scales of the doped Anderson lattice model using dynamical mean-field theory (DMFT), using a continuous-time Quantum Monte Carlo (CTQMC) impurity solver. We show that the low temperature properties of the lattice can not be scaled using the single ion local Kondo temperature *T _{K}* but instead are governed by a doping-dependent coherence temperature

*T** which can be used to scale the temperature dependence of the spectral function, transport properties, and entropy. At half filling

*T** closely approximates the single ion

*T*, but as the filling

_{K}*n*is reduced to zero,

_{c}*T** also vanishes. The coherence temperature

*T** is shown to play a role of effective impurity Kondo temperature in the lattice model, and physical observables show significant evolution at

*T**. In the DMFT framework, we showed that the hybridization strength of the effective impurity model is qualitatively affected by the doping level, and determines

*T** in the lattice model.

- Authors:

- Pohang Univ. of Science and Technology (POSTECH) (Korea, Republic of). Dept. of Chemistry
- Rutgers Univ., Piscataway, NJ (United States). Dept. of Physics and Astronomy
- Pohang Univ. of Science and Technology (POSTECH) (Korea, Republic of). Dept. of Chemistry, and Dept. of Physics

- Publication Date:

- Research Org.:
- Rutgers Univ., Piscataway, NJ (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

- OSTI Identifier:
- 1509680

- Alternate Identifier(s):
- OSTI ID: 1506725

- Grant/Contract Number:
- FG02-99ER45790

- Resource Type:
- Journal Article: Accepted Manuscript

- Journal Name:
- Physical Review B

- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 16; Journal ID: ISSN 2469-9950

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Kondo Lattice, Dynamical Mean Field Theory, Heavy Fermions

### Citation Formats

```
Kang, Hanhim, Haule, Kristjan, Kotliar, Gabriel, Coleman, Piers, and Shim, Ji-Hoon.
```*Energy scales of the doped Anderson lattice model*. United States: N. p., 2019.
Web. doi:10.1103/PhysRevB.99.165115.

```
Kang, Hanhim, Haule, Kristjan, Kotliar, Gabriel, Coleman, Piers, & Shim, Ji-Hoon.
```*Energy scales of the doped Anderson lattice model*. United States. doi:10.1103/PhysRevB.99.165115.

```
Kang, Hanhim, Haule, Kristjan, Kotliar, Gabriel, Coleman, Piers, and Shim, Ji-Hoon. Fri .
"Energy scales of the doped Anderson lattice model". United States. doi:10.1103/PhysRevB.99.165115.
```

```
@article{osti_1509680,
```

title = {Energy scales of the doped Anderson lattice model},

author = {Kang, Hanhim and Haule, Kristjan and Kotliar, Gabriel and Coleman, Piers and Shim, Ji-Hoon},

abstractNote = {This paper explores the energy scales of the doped Anderson lattice model using dynamical mean-field theory (DMFT), using a continuous-time Quantum Monte Carlo (CTQMC) impurity solver. We show that the low temperature properties of the lattice can not be scaled using the single ion local Kondo temperature TK but instead are governed by a doping-dependent coherence temperature T* which can be used to scale the temperature dependence of the spectral function, transport properties, and entropy. At half filling T* closely approximates the single ion TK, but as the filling nc is reduced to zero, T* also vanishes. The coherence temperature T* is shown to play a role of effective impurity Kondo temperature in the lattice model, and physical observables show significant evolution at T*. In the DMFT framework, we showed that the hybridization strength of the effective impurity model is qualitatively affected by the doping level, and determines T* in the lattice model.},

doi = {10.1103/PhysRevB.99.165115},

journal = {Physical Review B},

issn = {2469-9950},

number = 16,

volume = 99,

place = {United States},

year = {2019},

month = {4}

}

Works referenced in this record:

##
Resistance Minimum in Dilute Magnetic Alloys

journal, July 1964

- Kondo, J.
- Progress of Theoretical Physics, Vol. 32, Issue 1, p. 37-49