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We show that the spectral function for single-particle excitations in a two-dimensional Fermi liquid has Lorentzian shape in the low energy limit. Landau quasi-particles have a uniquely defined spectral weight and a decay rate which is much…

Strongly Correlated Electrons · Physics 2009-10-30 Christoph J. Halboth , Walter Metzner

Using a recently developed perturbative approach, which considers Hubbard operators as fundamental excitations, we have performed electronic self-energy and spectral function calculations for the $t-J$ model on the square lattice. We have…

Strongly Correlated Electrons · Physics 2009-11-11 M. Bejas , A. Greco , A. Foussats

We develop a method of an asymptotically exact treatment of threshold singularities in dynamic response functions of gapless integrable models. The method utilizes the integrability to recast the original problem in terms of the low-energy…

Strongly Correlated Electrons · Physics 2008-03-29 V. V. Cheianov , M. Pustilnik

We obtain the low-lying energy-momentum spectrum for the imaginary-time lattice four-Fermi or Gross-Neveu model in $d+1$ space-time dimensions ($d=1,2,3$) and with $N$-component fermions. Let $\kappa>0$ be the hopping parameter, $\lambda>0$…

High Energy Physics - Theory · Physics 2007-05-23 Petrus H. R. dos Anjos , Paulo A. Faria da Veiga

We compute the spectral function rho(q,omega) of the one- dimensional Luttinger model. We discuss the distinct influences of charge-spin separation and of the anomalous dimensions of the fermion operators and their evolution with…

Condensed Matter · Physics 2019-06-05 Johannes Voit

We use a recently developed extension of the weak coupling diagrammatic determinantal quantum Monte Carlo method to investigate the spin, charge and single particle spectral functions of the one-dimensional quarter-filled Holstein model…

Strongly Correlated Electrons · Physics 2011-04-13 F. F. Assaad

The spectral properties of itinerant 2D systems with (nearly) ferromagnetic ground state are studied within the spin-fermion and the classical s-d exchange models. While the former model describes the effect of collective magnetic…

Strongly Correlated Electrons · Physics 2009-11-11 A. A. Katanin , V. Yu. Irkhin

We calculate the fermion Green function and particle-hole susceptibilities for a degenerate two-dimensional fermion system with a singular gauge interaction. We show that this is a strong coupling problem, with no small parameter other than…

Condensed Matter · Physics 2009-10-22 B. L. Altshuler , L. B. Ioffe , A. J. Millis

We study the fermionic spectral density in a strongly correlated quantum system described by a gravity dual. In the presence of periodically modulated chemical potential, which models the effect of the ionic lattice, we explore the shapes…

High Energy Physics - Theory · Physics 2020-02-19 Floris Balm , Alexander Krikun , Aurelio Romero-Bermúdez , Koenraad Schalm , Jan Zaanen

This paper develops a finite-difference analogue of the boundary integral/element method for the numerical solution of two-dimensional exterior scattering from scatterers of arbitrary shapes. The discrete fundamental solution, known as the…

Numerical Analysis · Mathematics 2025-11-19 Siyuan Wang , Qing Xia

Strongly-correlated systems in non-Hermitian models are an emergent area of research. Here we consider a non-Hermitian Hubbard model, where the single-particle hopping amplitudes on the lattice are not reciprocal, and provide exact…

Strongly Correlated Electrons · Physics 2025-03-25 Stefano Longhi

Using a path integral approach and bosonization, we calculate the low energy asymptotics of the one particle Green's function for a ``magnetically incoherent'' one dimensional strongly interacting electron gas at temperatures much greater…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gregory A. Fiete , Leon Balents

We study the pairing of fermions in a one-dimensional lattice of tunable double-well potentials using radio-frequency spectroscopy. The spectra reveal the coexistence of two types of atom pairs with different symmetries. Our measurements…

Quantum Gases · Physics 2018-03-07 J. Kangara , Chingyun Cheng , S. Pegahan , I. Arakelyan , J. E. Thomas

We study the dynamical properties of spinless fermions on the checkerboard lattice. Our main interest is the limit of large nearest-neighbor repulsion $V$ as compared with hopping $|t|$. The spectral functions show broad low-energy…

Strongly Correlated Electrons · Physics 2009-09-29 F. Pollmann , P. Fulde , E. Runge

Using higher-dimensional bosonization, we study correlation functions of fermions with singular forward scattering. Following Bares and Wen [Phys. Rev. B 48, 8636 (1993)], we consider density-density interactions in d dimensions that…

Strongly Correlated Electrons · Physics 2009-10-31 Lorenz Bartosch , Peter Kopietz

We apply the rotation-invariant Green's function method to study the finite-temperature properties of a $S{=}1/2$ sawtooth-chain (also called $\Delta$-chain) antiferromagnetic Heisenberg model at the fully frustrated point when the exchange…

Strongly Correlated Electrons · Physics 2023-05-09 Taras Hutak , Taras Krokhmalskii , Oleg Derzhko , Johannes Richter

We evaluate the scattering functions of a gas of spin-polarized, non-interacting fermions confined in a quasi-onedimensional harmonic trap at zero temperature. The main focus is on the inelastic scattering spectrum and on the angular…

Statistical Mechanics · Physics 2009-11-07 Patrizia Vignolo , Anna Minguzzi , M. P. Tosi

We consider a number of questions regarding the Luttinger-Ward functional and the many-body perturbation series expansion of the proper self-energy $\Sigma(\mathbf{k};z)$ specific to uniform ground states (ensemble of states) of interacting…

Strongly Correlated Electrons · Physics 2021-08-26 Behnam Farid

In this article, two-particle Greens functions are computed for different strengths of interactions for particles in Hofstadter lattices, providing informations on spectral weights of doublons. The calculations are performed for a finite…

Strongly Correlated Electrons · Physics 2018-08-31 Tirthaprasad Chattaraj

We derive general closed-form analytical expressions for the finite-energy one- and two-electron spectral-weight distributions of an one-dimensional correlated metal with on-site electronic repulsion. Our results also provide general…

Strongly Correlated Electrons · Physics 2009-11-11 J. M. P. Carmelo , K. Penc , D. Bozi