scholarly journals Toulouse points and non-Fermi-liquid states in the mixed-valence regime of the generalized Anderson model

1996 ◽  
Vol 53 (18) ◽  
pp. 12373-12388 ◽  
Author(s):  
Gabriel Kotliar ◽  
Qimiao Si
Keyword(s):  
Anderson Model ◽  
Fermi Liquid ◽  
Mixed Valence ◽  
Liquid States

TWO-IMPURITY ANDERSON MODEL: SOME EXACT RESULTS WITH FERMI LIQUID THEORY

1994 ◽  
Vol 08 (06) ◽  
pp. 367-373 ◽  
Author(s):  
GIUSEPPE E. SANTORO ◽  
GABRIELE F. GIULIANI
Keyword(s):  
Anderson Model ◽  
Fermi Liquid ◽  
Phase Shifts ◽  
Symmetric Case ◽  
Green Functions ◽  
Symmetric Model ◽  
Linear Coefficient ◽  
Fermi Liquid Theory ◽  
Liquid Theory ◽  
Single Particle Excitation

We present exact expressions for the conduction electron phase shifts for the two-impurity Anderson model in terms of the impurity Green functions. We show that, for the symmetric model, to all orders in the perturbation theory in U, the only allowed value of the phase shifts is π/2. It is also shown that, quite generally, a vanishing of the phase shifts (signaling a RKKY phase) must be associated with the development of a gap in the impurity single particle excitation spectrum. In the symmetric case this is in turn associated with a divergence of the linear coefficient of the heat capacity. The implications of these results on the physics of the transition from Kondo to RKKY phases are briefly discussed.

Impurity-state-like nature of Fermi-liquid states in Bi2Sr2CaCu2O8 observed by photoemission and x-ray absorption

1989 ◽  
Vol 160 (5-6) ◽  
pp. 567-570 ◽  
Author(s):  
H. Matsuyama ◽  
T. Takahashi ◽  
H. Katayama-Yoshida ◽  
T. Kashiwakura ◽  
Y. Okabe ◽  
...  
Keyword(s):  
Fermi Liquid ◽  
Impurity State ◽  
X Ray ◽  
Liquid States ◽  
X Ray Absorption

NON-FERMI LIQUID BEHAVIOR IN THE SINGLE-IMPURITY MIXED VALENCE PROBLEM

1995 ◽  
Vol 09 (23) ◽  
pp. 1527-1533
Author(s):  
GUANG-MING ZHANG ◽  
ZHAO-BIN SU ◽  
LU YU
Keyword(s):  
Critical Point ◽  
Fermi Liquid ◽  
Mixed Valence ◽  
Quantum Critical Point ◽  
Coulomb Interactions ◽  
Single Impurity ◽  
Liquid Behavior ◽  
New Type ◽  
Quantum Critical ◽  
Fermi Liquid Behavior

An effective Hamiltonian of the Anderson single-impurity model with finite-range Coulomb interactions is derived near a particular limit, which is analogous to the Toulouse limit of the ordinary Kondo problem, and the physical properties around the mixed valence quantum critical point are calculated. At this quantum critical point, the local moment is only partially quenched and X-ray edge singularities are exhibited. Around this point, a new type of non-Fermi liquid behavior is predicted with an extra specific heat C imp ~ T1/4 + AT ln T and spin-susceptibility χ imp ~T−3/4 + B ln T.

Infrared Divergence and Non-Fermi Liquid in Multichannel Degenerate Anderson Model. II.

1998 ◽  
Vol 67 (7) ◽  
pp. 2346-2362 ◽  
Author(s):  
Atsushi Tsuruta ◽  
Yoshiaki Ōno ◽  
Tamifusa Matsuura ◽  
Yoshihiro Kuroda
Keyword(s):  
Anderson Model ◽  
Fermi Liquid ◽  
Infrared Divergence

OXYGEN pzπ VERSUS px,y FERMI-LIQUID STATES IN HIGH-Tc OXIDES AND VALENCE PHOTOEMISSION SPECTRA OF Bi2(Ca,Sr,La)3Cu2O8

1990 ◽  
Vol 04 (08) ◽  
pp. 561-564 ◽  
Author(s):  
K. H. JOHNSON
Keyword(s):  
Symmetry Group ◽  
Valence Band ◽  
Fermi Energy ◽  
Fermi Liquid ◽  
Electronic States ◽  
Basis Functions ◽  
Cooper Pairing ◽  
High Tc ◽  
Jahn Teller ◽  
Liquid States

Recent angle-resolved photoemission studies of the valence-band states of the high-T c superconductor, Bi 2( Ca,Sr,La )3 Cu 2 O 8, have led workers to conclude that the electronic states at the Fermi energy (E F ) have mainly O 2px and 2py symmetry, while O 2pz-like states are not allowed by the C4υ(∆5) symmetry of these states. Nevertheless, a complete projection of the basis functions for the C4υ symmetry group ∆5 (or "E") representation indicates both O 2px, 2py and O 2pz orbital contributions at E F . The O 2px and 2py components are nonbonding, whereas the O 2pz orbitals overlap under the influence of significant Cu (dxz,yzπ*)− O (pzπ) antibonding hybridization to form spatially delocalized O (pzπ)− O (pzπ) bonding molecular orbitals parallel to the Cu–O x − y (a − b) planes. The doubly-degenerate O (pzπ)− O (pzπ) "bonds" and their associated shallow "double-well" potentials are the basis for Fermi-liquid character and a dynamic Jahn-Teller mechanism for Cooper pairing first proposed in 1983 and first applied to high-T c oxides in 1987.

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