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Related papers: Systematic numerical study of spin-charge separati…

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We revisit early suggestions to observe spin-charge separation (SCS) in cold-atom settings {in the time domain} by studying one-dimensional repulsive Fermi gases in a harmonic potential, where pulse perturbations are initially created at…

Statistical Mechanics · Physics 2022-09-21 Stefano Scopa , Pasquale Calabrese , Lorenzo Piroli

We discuss the properties of quasi-1D quantum gases of fermionic atoms using the Luttinger liquid theory, including the presence of an optical lattice and of a longitudinal trapping potential. We analyze in particular the nature and…

Strongly Correlated Electrons · Physics 2018-03-14 A. Recati , P. O. Fedichev , W. Zwerger , P. Zoller

Quantum Monte Carlo (QMC) and density-matrix renormalization group (DMRG) methods are used to study the coupled spin-pseudospin Hamiltonian in one-dimension (1D) that models the charge-ordering instability of the anisotropic Hubbard ladder…

Strongly Correlated Electrons · Physics 2007-05-23 Y. Ohta , T. Nakaegawa , S. Ejima

We propose an effective model called the "charge model", for the half-filled one-dimensional Hubbard and extended Hubbard models. In this model, spin-charge separation, which has been justified from an infinite on-site repulsion ($U$) in…

Strongly Correlated Electrons · Physics 2020-01-29 Shu Ohmura , Akira Takahashi , Kaoru Iwano , Tokitake Yamaguchi , Kazuya Shinjo , Takami Tohyama , Shigetoshi Sota , Hiroshi Okamoto

We investigate the physical properties of quasi-1D quantum gases of fermion atoms confined in harmonic traps. Using the fact that for a homogeneous gas, the low energy properties are exactly described by a Luttinger model, we analyze the…

Soft Condensed Matter · Physics 2009-11-07 A. Recati , P. O. Fedichev , W. Zwerger , P. Zoller

We study the transport properties of a one-dimensional spinful Fermi gas, after junction of two semi-infinite sub-systems held at different temperatures. The ensuing dynamics is studied by analysing the space-time profiles of local…

Quantum Gases · Physics 2019-01-18 Márton Mestyán , Bruno Bertini , Lorenzo Piroli , Pasquale Calabrese

Fractionalization of symmetry - exemplified by spin-charge separation in the 1D Hubbard model and fractional charges in the fractional quantum Hall effect - is a typical strongly correlated phenomena in quantum many-body systems. Despite…

Quantum Gases · Physics 2026-02-17 Liang Tong , Shi Chen , Yu Chen

The spectral properties of the 1-D Hubbard model are obtained from quantum Monte Carlo simulations using the maximum entropy method. The one-particle excitations are characterized by dispersive cosine-like bands. Velocities for spin- and…

Condensed Matter · Physics 2009-10-22 R. Preuss , A. Muramatsu , W. von der Linden , F. F. Assaad , W. Hanke

Dynamical properties are notoriously difficult to compute in numerical treatments of the Fermi-Hubbard model, especially in two spatial dimensions. However, they are essential in providing us with insight into some of the most important and…

Strongly Correlated Electrons · Physics 2026-02-04 Linh Pham , Ehsan Khatami

Thanks to improved methods for numerical analytic continuation with constraints, spectral functions with sharp features can now be extracted from imaginary-time correlation functions computed by quantum Monte Carlo (QMC) simulations. Here…

Strongly Correlated Electrons · Physics 2025-12-25 Sibin Yang , Gabe Schumm , Bowen Zhao , Anders W. Sandvik

Using the strong coupling diagram technique for calculating the electron Green's function of the two-dimensional Hubbard model we have summed infinite sequences of ladder diagrams, which describe interactions of electrons with spin and…

Strongly Correlated Electrons · Physics 2018-10-30 A. Sherman

Electrons in one-dimension display the unusual property of separating their spin and charge into two independent entities: The first, which derive from uncharged spin-1/2 electrons, can travel at different velocities when compared with the…

Strongly Correlated Electrons · Physics 2012-09-26 Daniel Vieira

We revisit the problem of dynamical response in spin-charge separated one dimensional quantum fluids. In the framework of Luttinger liquid theory, the dynamical response is formulated in terms of noninteracting bosonic collective…

Strongly Correlated Electrons · Physics 2015-07-01 F. H. L. Essler , R. G. Pereira , I. Schneider

We have determined the dynamical dielectric response of a one-dimensional, correlated insulator by carrying out electron energy-loss spectroscopy on Sr2CuO3 single crystals. The observed momentum and energy dependence of the low-energy…

Strongly Correlated Electrons · Physics 2009-10-31 R. Neudert , M. Knupfer , M. S. Golden , J. Fink , W. Stephan , K. Penc , N. Motoyama , H. Eisaki , S. Uchida

At low temperature, collective excitations of one-dimensional (1D) interacting fermions exhibit spin-charge separation, a unique feature predicted by the Tomonaga-Luttinger liquid (TLL) theory, but a rigorous understanding remains…

Quantum Gases · Physics 2020-11-04 Feng He , Yu-Zhu Jiang , Hai-Qing Lin , Randall G. Hulet , Han Pu , Xi-Wen Guan

Helical Luttinger liquids, appearing at the edge of two-dimensional topological insulators, represent a new paradigm of one-dimensional systems, where peculiar quantum phenomena can be investigated. Motivated by recent experiments on charge…

Mesoscale and Nanoscale Physics · Physics 2015-11-17 Alessio Calzona , Matteo Carrega , Giacomo Dolcetto , Maura Sassetti

By utilizing the twisted boundary conditions in the exact diagonalization method, we investigate the single-particle spectral function of the extended Peierls-Hubbard model at both half-filling and quarter filling. In one-dimensional (1D)…

Strongly Correlated Electrons · Physics 2024-07-19 Ren-He Xu , Hantao Lu , Takami Tohyama , Can Shao

We study Dirac fermions at finite density coupled to a complex pairing field assumed to obey scalar field theory with quartic self-repulsion. The bulk of our work develops the mathematics that elucidates the propagation of fermionic…

Mathematical Physics · Physics 2024-11-15 Laith H. Haddad

We study an atomic Fermi gas interacting through repulsive contact forces in a one dimensional harmonic trap. Bethe-Ansatz solutions lead to an inhomogeneous Tomonaga-Luttinger model for the low energy excitations. The equations of motion…

Strongly Correlated Electrons · Physics 2007-05-23 Lars Kecke , Hermann Grabert , Wolfgang Häusler

We combine the first-quantized path-integral formalism and bosonization to develop a phenomenological theory for spin-charge coupled dynamics in one-dimensional (1D) ferromagnetic systems with strong interparticle repulsion, at low…

Strongly Correlated Electrons · Physics 2008-10-08 Shimul Akhanjee , Yaroslav Tserkovnyak