scholarly journals VIOLATION OF LUTTINGER'S THEOREM IN STRONGLY CORRELATED ELECTRONIC SYSTEMS WITHIN A 1/N EXPANSION

1999 ◽  
Vol 13 (20) ◽  
pp. 2607-2627 ◽  
Author(s):  
EMMANUELE CAPPELLUTI ◽  
ROLAND ZEYHER

We study the 1/N expansion of a generic, strongly correlated electron model ( SU (N) symmetric Hubbard model with U=∞ and N degrees of freedom per lattice site) in terms of X operators. The leading order of the expansion describes a usual Fermi liquid with renormalized, stable particles. The next-to-leading order violates Luttinger's theorem if a finite convergence radius for the 1/N expansion for a fixed and non-vanishing doping away from half-filling is assumed. We find that the volume enclosed by the Fermi surface, is at large, but finite N's and small dopings larger than at N=∞. As a by-product an explicit expression for the electronic self-energy in O(1/N) is given which cannot be obtained by factorization or mode-coupling assumptions but contains rather sophisticated vertex corrections.

2002 ◽  
Vol 16 (25) ◽  
pp. 3759-3770 ◽  
Author(s):  
KRZYSZTOF BYCZUK ◽  
RALF BULLA ◽  
RALPH CLAESSEN ◽  
DIETER VOLLHARDT

A phenomenological approach is presented that allows one to model, and thereby interpret photoemission spectra of strongly correlated electron systems. A simple analytical formula for the self-energy is proposed. This self-energy describes both the coherent and incoherent parts of the spectrum (quasiparticle and Hubbard peaks, respectively). Free parameters in the expression are determined by fitting the density of states to experimental photoemission data. An explicit fitting is presented for the La 1-x Sr x TiO 3 system with 0.08 ≤ x ≤ 0.38. In general, our phenomenological approach provides information on the effective mass, the Hubbard interaction, and the spectral weight distribution in different parts of the spectrum. Limitations of this approach are also discussed.


1998 ◽  
Vol 13 (25) ◽  
pp. 4309-4324 ◽  
Author(s):  
A. LIMA-SANTOS ◽  
I. RODITI ◽  
A. FOERSTER

A recently proposed strongly correlated electron system associated with the Temperley–Lieb algebra is solved by means of the coordinate Bethe ansatz for periodic and closed boundary conditions.


2015 ◽  
Vol 3 (40) ◽  
pp. 10430-10435 ◽  
Author(s):  
Ichiro Terasaki ◽  
Shuhei Abe ◽  
Yukio Yasui ◽  
Ryuji Okazaki ◽  
Hiroki Taniguchi

Ruthenium oxides are typical strongly correlated electron systems, where various ordering phenomena occur through delicate interplay among the charge, spin and orbital degrees of freedom.


2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Carina A. Belvin ◽  
Edoardo Baldini ◽  
Ilkem Ozge Ozel ◽  
Dan Mao ◽  
Hoi Chun Po ◽  
...  

AbstractCollective excitations of bound electron-hole pairs—known as excitons—are ubiquitous in condensed matter, emerging in systems as diverse as band semiconductors, molecular crystals, and proteins. Recently, their existence in strongly correlated electron materials has attracted increasing interest due to the excitons’ unique coupling to spin and orbital degrees of freedom. The non-equilibrium driving of such dressed quasiparticles offers a promising platform for realizing unconventional many-body phenomena and phases beyond thermodynamic equilibrium. Here, we achieve this in the van der Waals correlated insulator NiPS3 by photoexciting its newly discovered spin–orbit-entangled excitons that arise from Zhang-Rice states. By monitoring the time evolution of the terahertz conductivity, we observe the coexistence of itinerant carriers produced by exciton dissociation and a long-wavelength antiferromagnetic magnon that coherently precesses in time. These results demonstrate the emergence of a transient metallic state that preserves long-range antiferromagnetism, a phase that cannot be reached by simply tuning the temperature. More broadly, our findings open an avenue toward the exciton-mediated optical manipulation of magnetism.


1995 ◽  
Vol 09 (26n27) ◽  
pp. 1719-1727 ◽  
Author(s):  
A.L. KUZEMSKY ◽  
D. MARVAKOV

The spectrum of hole quasiparticles and the role of magnetic correlations are investigated in the self-consistent Irreducible Green Functions formalism motivated from Strongly Correlated Electron systems in the framework of spin-fermion model. It was clearly pointed out on the self-energy level, beyond Hartree-Fock approximation, how the one-and two-magnon processes define the true nature of carriers in HTSC.


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