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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

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

Spin-charge separation, a crucial ingredient in 2D models of strongly correlated systems, in mostly considered in condensed matter applications. In this paper we present a relativistic field-theoretic model in which charged particles of…

High Energy Physics - Theory · Physics 2015-06-19 M. C. Diamantini , C. A. Trugenberger

We study the dynamic spin structure factor of the spin-$1/2$ square-lattice Heisenberg antiferromagnet and of the $J$-$Q$ model (with 4-spin interactions $Q$ and Heisenberg exchange $J$). Using an improved method for stochastic analytic…

Strongly Correlated Electrons · Physics 2018-01-03 Hui Shao , Yan Qi Qin , Sylvain Capponi , Stefano Chesi , Zi Yang Meng , Anders W. Sandvik

A real spin-charge separation scheme is found based on a saddle-point state of the $t-J$ model. In the one-dimensional (1D) case, such a saddle-point reproduces the correct asymptotic correlations at the strong-coupling fixed-point of the…

Condensed Matter · Physics 2009-10-28 Z. Y. Weng , D. N. Sheng , C. S. Ting

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

Strong interactions between electrons in two dimensions can realize phases where their spins and charges separate. We capture this phenomenon within a dual formulation. Focusing on square lattices, we analyze the long-wavelength structure…

Strongly Correlated Electrons · Physics 2022-11-28 Eyal Leviatan , David F. Mross

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

A one-dimensional model of coupled spin-1/2 spins and pseudospin-1/2 orbitals with nearest-neighbor interaction is rigorously shown to exhibit spin-orbital separation by means of a non-local unitary transformation. On an open chain, this…

Strongly Correlated Electrons · Physics 2013-05-13 Brijesh Kumar

We reconsider the problem of separation of spin and charge in one dimensional quantum antiferromagnets. We show that spin and charge separation in one dimensional strongly correlated systems cannot be described by the slave boson or fermion…

Condensed Matter · Physics 2009-10-22 C. Mudry , E. Fradkin

The exact 2-spinon part of the dynamic spin structure factor $S_{xx}(Q,\omega)$ for the one-dimensional $s$=1/2 $XXZ$ model at $T$=0 in the antiferromagnetically ordered phase is calculated using recent advances by Jimbo and Miwa in the…

Condensed Matter · Physics 2009-10-30 A. Hamid Bougourzi , Michael Karbach , Gerhard Müller

Using large-scale determinant quantum Monte Carlo simulations in combination with the stochastic analytical continuation, we study two-particle dynamical correlation functions in the anisotropic square lattice of weakly coupled…

Strongly Correlated Electrons · Physics 2013-08-22 Marcin Raczkowski , Fakher F. Assaad

We show how a Heisenberg spin chain emerges from the two-dimensional ${\mathcal N}$=(2,2) gauge theory at an intermediate scale, which relies on the renormalization group flow guided by the global symmetries and the dynamics of domain…

High Energy Physics - Theory · Physics 2022-12-23 Wei Gu

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

We have investigated the spin dynamics in the strongly correlated chain copper oxide SrCuO$_2$ for energies up to $\gtrsim 0.6$ eV using inelastic neutron scattering. We observe an acoustic band of magnetic excitations which is well…

Strongly Correlated Electrons · Physics 2010-07-28 I. A. Zaliznyak , H. Woo , T. G. Perring , C. L. Broholm , C. D. Frost , H. Takagi

The nature of quantum spin liquids is studied for the spin-$1/2$ antiferromagnetic Heisenberg model on a square lattice containing exchange interactions between nearest-neighbor sites, $J_1$, and those between next-nearest-neighbor sites,…

Strongly Correlated Electrons · Physics 2015-02-02 Satoshi Morita , Ryui Kaneko , Masatoshi Imada

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…

Based on the mapping between $s=1/2$ spin operators and hard-core bosons, we extend the cluster perturbation theory to spin systems and study the whole excitation spectrum of the antiferromagnetic $J_{1}$-$J_{2}$ Heisenberg model on the…

Strongly Correlated Electrons · Physics 2018-10-17 Shun-Li Yu , Wei Wang , Zhao-Yang Dong , Zi-Jian Yao , Jian-Xin Li

We analyze the $t$-$J$ model using the ${\rm CP}^1$ representation for the slave operators (holons and spinons) which is particularly suited to study the phenomenon of the spin-charge separation in strongly correlated electron systems. In…

High Energy Physics - Theory · Physics 2009-10-28 Alberto Lerda

Quasi-particle picture in a magnetic field is pursued for dynamical spin and charge correlation functions of the one-dimensional supersymmetric t-J model with inverse-square interaction. With use of exact diagonalization and the asymptotic…

Strongly Correlated Electrons · Physics 2009-10-31 Yasuhiro Saiga , Yoshio Kuramoto
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