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The problem of motion of a single electron interacting with a periodic lattice of two-level systems is investigated within a spinless fermion model. The Green's function is calculated in a single-site dynamical coherent potential…

Strongly Correlated Electrons · Physics 2011-07-27 A. O. Anokhin , A. V. Zarubin , V. Yu. Irkhin

It is shown that the dynamics of a single $\downarrow$-electron interacting with a band of $\uparrow$-electrons can be calculated exactly in the limit of infinite dimension. The corresponding Green function is determined as a continued…

Condensed Matter · Physics 2009-10-28 Goetz S. Uhrig

It is well established that at low energies one-dimensional (1D) fermionic systems are described by the Luttinger liquid (LL) theory, that predicts phenomena like spin-charge separation, and charge fractionalization into chiral modes. Here…

Strongly Correlated Electrons · Physics 2013-02-06 A. Moreno , A. Muramatsu , J. M. P. Carmelo

The diagram technique for the one-band Hubbard model is formulated for the case of moderate to strong Hubbard repulsion. The expansion in powers of the hopping constant is expressed in terms of site cumulants of electron creation and…

Strongly Correlated Electrons · Physics 2009-11-11 A. Sherman

The Holstein model of spinless fermions interacting with dispersionless phonons in one dimension is studied by a Green's function Monte Carlo technique. The ground state energy, first fermionic excited state, density wave correlations, and…

Condensed Matter · Physics 2009-10-28 Ross H. McKenzie , C. J. Hamer , D. W. Murray

The spin and density correlation functions of the two-dimensional Hubbard model at low electronic density $<n>$ are calculated in the ground state by using the power method, and at finite temperatures by using the quantum Monte Carlo…

Condensed Matter · Physics 2009-10-22 Y. C. Chen , A. Moreo , F. Ortolani , E. Dagotto , T. K. Lee

The fate of spin-charge separation beyond the low energy remains elusive up to now. Here we develop a microscopic theory of the correlation functions using the strong coupling expansion of the Hubbard model and demonstrate its validity down…

Strongly Correlated Electrons · Physics 2025-10-13 Oleksandr Tsyplyatyev , Yiqing Jin , María Moreno , Wooi Kiat Tan , Christopher J. B. Ford

Understanding low-energy excitations in fermionic systems is crucial for their characterization. They determine the response of the system to external weak perturbations, its dynamical correlation functions, and provide mechanisms for the…

Quantum Physics · Physics 2025-11-19 Lucia Vilchez-Estevez , Raul A. Santos , Sabrina Yue Wang , Filippo Maria Gambetta

It is demonstrated that the spatial decay of the pair propagator in a Luttinger liquid with spin charge separation contains a logarithmic correction relative to the free fermi gas result in a finite interval between the spin and charge…

Condensed Matter · Physics 2009-10-22 R. G. Dias , J. M. Wheatley

In this paper we reexamine the problem of the separation of spin and charge degrees of freedom in two dimensional strongly correlated systems. We establish a set of sufficient conditions for the occurence of spin and charge separation.…

Condensed Matter · Physics 2009-10-22 Christopher Mudry , Eduardo Fradkin

Using quantum Monte Carlo and numerical analytic continuation methods, we study the dynamic spin structure factor and the single-hole spectral function of a two-dimensional quantum magnet ($J$-$Q$ model) at its quantum phase transition…

Strongly Correlated Electrons · Physics 2025-12-03 Sibin Yang , Anders W. Sandvik

The singular value decomposition technique is used to reconstruct the electronic spectral weight function for a half-filled Hubbard model with on-site repulsion $U=4t$ from Quantum Monte Carlo data. A two-band structure for the…

Condensed Matter · Physics 2016-08-31 C. E. Creffield , E. G. Klepfish , E. R. Pike , Sarben Sarkar

We demonstrate that in the scaling limit the phenomenon of spin-charge separation as encountered in Luttinger liquids defined on the lattice can be associated with the emergence of local Ising symmetry. This Z_2 gauge field is of…

Strongly Correlated Electrons · Physics 2007-05-23 H. V. Kruis , Z. Nussinov , J. Zaanen

It is shown that it is possible to quantitatively explain quantum Monte Carlo results for the Green's function of the two-dimensional Hubbard model in the weak to intermediate coupling regime. The analytic approach includes vertex…

Condensed Matter · Physics 2016-08-31 Y. M. Vilk , A. -M. S. Tremblay

In one-dimensional (1D) non-perturbative many-electron problems such as the 1D Hubbard model the electronic charge and spin degrees of freedom separate into exotic quantum objects. However, there are two different representations for such…

Strongly Correlated Electrons · Physics 2007-05-23 J. M. P. Carmelo , K. E. Hibberd , N. Andrei

Interchain hopping in systems of coupled chains of correlated electrons is investigated by exact diagonalizations and Quantum-Monte-Carlo methods. For two weakly coupled Hubbard chains at commensurate densities (e.g. n=1/3) the splitting at…

Condensed Matter · Physics 2016-08-31 D. Poilblanc , H. Endres , F. Mila , M. G. Zacher , S. Capponi , W. Hanke

We show that one of the key characteristics of interacting one-dimensional electronic quantum systems, the separation of spin and charge, can be observed in a two-component system of bosonic ultracold atoms even close to a competing phase…

Other Condensed Matter · Physics 2008-03-01 A. Kleine , C. Kollath , I. McCulloch , T. Giamarchi , U. Schollwoeck

Using recently developed quantum SU(2)xU(1) rotor approach, that provides a self-consistent treatment of the antiferromagnetic state we have performed electronic spectral function calculations for the Hubbard model on the square lattice.…

Strongly Correlated Electrons · Physics 2015-05-13 T. A. Zaleski , T. K. Kopec

In this Letter we report exact results on the infrared asymptotics of one-particle dynamical correlation function of the gas of impenetrable spin 1/2 fermions at infinitesimal temperature. The correlation function shows signs of spin-charge…

Strongly Correlated Electrons · Physics 2009-11-10 Vadim V. Cheianov , M. B. Zvonarev

We used methods of Bayesian statistical inference and the principle of maximum entropy to analytically continue imaginary-time Green's function generated in quantum Monte Carlo simulations to obtain the real-time Green's functions. For test…

Condensed Matter · Physics 2009-10-28 J. Bonca , J. E. Gubernatis