Physical properties of a new coherent state of the almost-degenerate infinite-U lattice Anderson model

Tolpin, A E

doi:10.1007/BF00141564

Title: Physical properties of a new coherent state of the almost-degenerate infinite-U lattice Anderson model

Full Record
Other Related Research

Abstract

A new approach toward understanding the heavy-fermion systems (HFS) within a framework of the almost-degenerate lattice Anderson Hamiltonian in the Kondo regime is proposed. In the coherent low-temperature regime, operators in the effective Hamiltonian are found to belong to an SU(2J + 3) dynamical algebra. A canonical transformation is employed to decouple the quasiparticle branches, thereby setting up the decoupling equation. It is found that this decoupling equation has a solution of the symmetry-altering type. The thermodynamic response functions and other quantities are calculated for this new state. This solution is a consequence of the degeneracy of the uncoupled f-orbitals. It is characterized by the interatomic hopping of f-electrons, which produces the spin-delocalization regime and with the renormalized f-level pinned close to the Fermi level. This is also found to be the source of the apparent spin-compensation regime, which is accompanied by large enhancement of the thermodynamic response functions. In addition, the calculated phase coherence length is found to be much greater than a lattice constant, thereby showing a many-body character of this new state. It is believed that this new state provides an accurate description of the heavy-fermion state at low temperatures. The stability conditions for the new regimemore » are also discussed.« less

Authors:

Tolpin, A E ^[1]

Naval Research Lab., Washington, DC (United States)

Publication Date:: Wed Apr 01 00:00:00 EST 1992

OSTI Identifier:: 5167914

Resource Type:: Journal Article

Journal Name:: Journal of Low Temperature Physics; (United States)

Additional Journal Information:: Journal Volume: 87:1-2; Journal ID: ISSN 0022-2291

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; FERMI STATISTICS; CANONICAL TRANSFORMATIONS; DECOUPLING; FERMIONS; HAMILTONIANS; KONDO EFFECT; LATTICE FIELD THEORY; PROPAGATOR; QUASI PARTICLES; SU-2 GROUPS; FIELD THEORIES; LIE GROUPS; MATHEMATICAL OPERATORS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SU GROUPS; SYMMETRY GROUPS; TRANSFORMATIONS; 665400* - Quantum Physics Aspects of Condensed Matter- (1992-)

Citation Formats


                    Tolpin, A E. Physical properties of a new coherent state of the almost-degenerate infinite-U lattice Anderson model.  United States: N. p., 1992. 
        Web.  doi:10.1007/BF00141564.

Copy to clipboard


                    Tolpin, A E. Physical properties of a new coherent state of the almost-degenerate infinite-U lattice Anderson model.  United States.  https://doi.org/10.1007/BF00141564

Copy to clipboard


                    Tolpin, A E. 1992.  
        "Physical properties of a new coherent state of the almost-degenerate infinite-U lattice Anderson model".  United States.  https://doi.org/10.1007/BF00141564.

Copy to clipboard


                    
@article{osti_5167914,

  title        = {Physical properties of a new coherent state of the almost-degenerate infinite-U lattice Anderson model},

  author       = {Tolpin, A E},

  abstractNote = {A new approach toward understanding the heavy-fermion systems (HFS) within a framework of the almost-degenerate lattice Anderson Hamiltonian in the Kondo regime is proposed. In the coherent low-temperature regime, operators in the effective Hamiltonian are found to belong to an SU(2J + 3) dynamical algebra. A canonical transformation is employed to decouple the quasiparticle branches, thereby setting up the decoupling equation. It is found that this decoupling equation has a solution of the symmetry-altering type. The thermodynamic response functions and other quantities are calculated for this new state. This solution is a consequence of the degeneracy of the uncoupled f-orbitals. It is characterized by the interatomic hopping of f-electrons, which produces the spin-delocalization regime and with the renormalized f-level pinned close to the Fermi level. This is also found to be the source of the apparent spin-compensation regime, which is accompanied by large enhancement of the thermodynamic response functions. In addition, the calculated phase coherence length is found to be much greater than a lattice constant, thereby showing a many-body character of this new state. It is believed that this new state provides an accurate description of the heavy-fermion state at low temperatures. The stability conditions for the new regime are also discussed.},

  doi          = {10.1007/BF00141564},

  url          = {https://www.osti.gov/biblio/5167914},
  journal      = {Journal of Low Temperature Physics; (United States)},

  issn         = {0022-2291},

  number       = ,

  volume       = 87:1-2,

  place        = {United States},

  year         = {Wed Apr 01 00:00:00 EST 1992},

  month        = {Wed Apr 01 00:00:00 EST 1992}

}

Copy to clipboard

Journal Article:

https://doi.org/10.1007/BF00141564

Other availability

Find in Google Scholar

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Similar records in OSTI.GOV collections:

Magnetic and thermodynamic properties of the 3-D periodic anderson lattice hamiltonian

Conference Huscrot, C; McMahan, A; Pollock, E; ...

Tight-binding models capture many of the qualitative features of interaction-induced effects in solids. For example, the simplest such model, the single-band Hubbard Hamiltonian, describes the Mott insulating phase which occurs in correlated systems, despite the fact that the one electron band is nominally only half-filled, as well as the tendency towards magnetic order. Both phenomena occur in the transition metal oxides. The Periodic Anderson Model (PAM) is a step towards incorporating more complex orbital structure. It contains a pair of orbitals on each site--a delocalized conduction band and a set of highly correlated, localized states. The PAM successfully describes conditionsmore »« less
Full Text Available
Heavy-fermion state in the Anderson lattice

Journal Article Koyama, T; Tachiki, M - Phys. Rev. B: Condens. Matter; (United States)

To investigate theoretically the heavy-fermion state in cerium and uranium compounds, the low-energy excited states in an Anderson lattice are studied at absolute zero. The coupled Dyson equations for both the Green's functions of the f-italic electron and the spin fluctuations are set up in the case of the finite correlation interaction energy. The vertex functions are approximately determined to fulfill the Ward-Takahashi relations which originate from the spin-rotational invariance, in the low-energy region. In the spectral density of the f-italic-electron Green's function which is numerically calculated, it is found that a sharp peak corresponding to the state of quasifermionsmore »« less
https://doi.org/10.1103/PhysRevB.34.3272
Schrieffer-Wolff transformation for the Anderson Hamiltonian in a superconductor

Journal Article Salomaa, M - Phys. Rev. B: Condens. Matter; (United States)

A generalized Schrieffer-Wolff transformation is introduced to relate the Anderson impurity model in a superconductor to a Kondo-like Hamiltonian. The effective exchange interactions coupling a magnetic impurity to a Bardeen-Cooper-Schrieffer (BCS) spectrum of electronic excitations are expressed in terms of the superconducting coherence factors. New exchange mechanisms originate from the particle-hole coherence unique to superconductors. These interactions are relevant for large asymmetry in the magnetic limit; they vanish for nonmagnetic impurities and in the symmetric Anderson model, for which the ''normal'' Schrieffer-Wolff coupling constant is recovered. The magnetically induced equal-spin Cooper-pairing correlations are suggested to be relevant for superconducting valencemore »« less
https://doi.org/10.1103/PhysRevB.37.9312
Determinant quantum Monte Carlo study of exhaustion in the periodic Anderson model

Journal Article Zhang, Lufeng; Ma, Tianxing; Costa, Natanael; ... - Physical Review B

The Kondo and periodic Anderson models describe many of the qualitative features of local moments coupled to a conduction band, and thereby the physics of materials such as the heavy fermions. In particular, when the exchange coupling J or hybridization V between the moments and the electrons of the metallic band is large, singlets form, quenching the magnetism. In the opposite, small J or V, limit, the moments survive and the conduction electrons mediate an effective interaction which can trigger long-range, often antiferromagnetic order. In the case of the Kondo model, where the moments are described by local spins, Nozièresmore »« less
Cited by 4
https://doi.org/10.1103/PhysRevB.99.195147

Full Text Available
Strongly correlated f-electron systems: A PES study

Conference Arko, A; Joyce, J; Sarrao, J; ...

The term heavy fermions refers to materials (thus far only compounds with elements having an unfilled 4f or 5f shells) whose large specific heat {gamma}-values suggest that the conduction electrons at low temperatures have a very heavy effective mass. Magnetic susceptibility measurements, {chi}, generally yield a Curie-Weiss behavior at high temperatures with a well developed moment, which would be consistent with localized behavior of the f-electrons. Thus, the f-electrons appear to behave as non-interacting single impurities at elevated temperature. Below a characteristic Kondo temperature, T{sub K}, the susceptibility levels off or even decreases. This is interpreted as a compensation ofmore »« less
Full Text Available

Similar Records