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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

We investigate spin-charge separation of a spin-1/2 Fermi system confined in a triple well where multiple bands are occupied. We assume that our finite fermionic system is close to fully spin polarized while being doped by a hole and an…

Quantum Gases · Physics 2023-11-15 J. M. Becker , G. M. Koutentakis , P. Schmelcher

Low-energy spin and charge excitations of one-dimensional interacting fermions are completely decoupled and propagate with different velocities. These modes however can decay due to several possible mechanisms. In this paper we expose a new…

Strongly Correlated Electrons · Physics 2007-06-28 Marco Polini , Giovanni Vignale

We present a lattice field theory of spins coupled to Dirac fermions, as a model for the doped copper oxide compounds. Both the fermionic and spin degrees of freedom are treated dynamically. The influence of the charge carriers on the…

Superconductivity · Physics 2007-05-23 J. L. Alonso , Ph. Boucaud , V. Martin-Mayor , A. J. van der Sijs

We prove versions of super spin-charge separation for all three of the symmetry groups SU(N), Sp(2N), and SO(N) of disordered Dirac fermions in 2+1 dimensions, which involve the supercurrent-algebras gl (1|1)_{N}, osp(2|2)_{-2N}, and…

Mathematical Physics · Physics 2015-05-13 André LeClair , Dean J. Robinson

Spin-charge separation is known to be broken in many physically interesting one-dimensional (1D) and quasi-1D systems with spin-orbit interaction because of which spin and charge degrees of freedom are mixed in collective excitations. Mixed…

Strongly Correlated Electrons · Physics 2017-11-27 Yasha Gindikin , Vladimir A. Sablikov

Spin-charge separation is a hallmark of one-dimensional fermionic systems, yet its realization in higher dimensions remains an open question. To address this issue, we investigate a two-leg t-J ladder using the density matrix…

Strongly Correlated Electrons · Physics 2026-05-12 Luhang Yang , Elbio Dagotto

A novel approach, the fermion-spin transformation to implement the charge-spin separation, is developed to study the low-dimensional $t$-$J$ model. In this approach, the charge and spin degrees of freedom of the physical electron are…

Condensed Matter · Physics 2009-10-22 Shiping Feng , Z. B. Su , L. Yu

We consider a 2+1 dimensional model of charged fermions coupled to a $\mathbb{Z}_2$ gauge field, and study the confinement transition in this regime. To elucidate the phase diagram of this model, we introduce a method to handle the Gauss…

Strongly Correlated Electrons · Physics 2017-02-09 Snir Gazit , Mohit Randeria , Ashvin Vishwanath

Spin-charge separation (SCS) is a striking manifestation of strong correlations in low-dimensional quantum systems, whereby a fermion splits into separate spin and charge excitations that travel at different speeds. Here, we demonstrate…

Strongly Correlated Electrons · Physics 2020-11-11 Hongmin Gao , Jonathan R. Coulthard , Dieter Jaksch , Jordi Mur-Petit

Electron fractionalization into spinons and chargeons plays a crucial role in 2D models of strongly correlated electrons. In this paper we show that spin-charge separation is not a phenomenon confined to lower dimensions but, rather, we…

Strongly Correlated Electrons · Physics 2012-02-01 M. Cristina Diamantini , Carlo A. Trugenberger

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 consider a U(1) gauge theory, minimally coupled to a massless Dirac field, where a higher-derivative term is added to the pure gauge sector, as in the Lee-Wick models. We find that this term can trigger chiral symmetry breaking at low…

High Energy Physics - Phenomenology · Physics 2008-11-26 Emidio Gabrielli

In the Hamiltonian picture, free spin-$1/2$ Dirac fermions on a bipartite lattice have an $O(4)$ (spin-charge) symmetry. Here we construct an interacting lattice model with an interaction $V$, which is similar to the Hubbard interaction but…

High Energy Physics - Lattice · Physics 2022-09-21 Emilie Huffman

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

Using the adaptive time-dependent density-matrix renormalization group method for the 1D Hubbard model, the splitting of local perturbations into separate wave packets carrying charge and spin is observed in real-time. We show the…

Other Condensed Matter · Physics 2007-05-23 C. Kollath , U. Schollwoeck , W. Zwerger

Elementary particles such as the electron carry several quantum numbers, for example, charge and spin. However, in an ensemble of strongly interacting particles, the emerging degrees of freedom can fundamentally differ from those of the…

We study a quantum phase transition of electrons on a two-dimensional square lattice. Our lattice model preserves the full $\mathrm{O}(4)$ symmetry of free spin-$\frac{1}{2}$ Dirac fermions on a bipartite lattice. In particular, it not only…

High Energy Physics - Lattice · Physics 2021-11-04 Hanqing Liu

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

We develop an effective field theory for finding critical properties of 1D spin gapped fermions at the onset of magnetization. It is shown how the spin-charge interaction leads to a linear critical behavior and finite susceptibility for a…

Strongly Correlated Electrons · Physics 2008-07-29 T. Vekua , S. I. Matveenko , G. V. Shlyapnikov
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