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We provide an intuitive understanding of the collective low-energy spin excitation of the one-dimensional spin-1/2 antiferromagnetic Heisenberg chain, known as the spinon. To this end, we demonstrate how a single spinon can be excited by…

Strongly Correlated Electrons · Physics 2025-06-17 Teresa Kulka , Milosz Panfil , Mona Berciu , Krzysztof Wohlfeld

The excitations of the Heisenberg antiferromagnetic spin chain in zero field are known as spinons. As pairwise-created fractionalized excitations, spinons are important in the understanding of inelastic neutron scattering experiments in…

Strongly Correlated Electrons · Physics 2016-05-31 Rogier Vlijm , Jean-Sébastien Caux

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

Scattering of electrons from chiral spin textures such as the skyrmions is an emerging research area due to its richness in topological quantum transport, which is significant for spintronic devices. We study the dynamical process of…

Mesoscale and Nanoscale Physics · Physics 2026-03-03 Hareram Swain , Arijit Mandal , S. Satpathy , B. R. K. Nanda

We consider the Heisenberg spin chain in the presence of integrable spin defects. Using the Bethe ansatz methodology, we extract the associated transmission amplitudes, that describe the interaction between the particle-like excitations…

Mathematical Physics · Physics 2013-03-06 Anastasia Doikou , Nikos Karaiskos

We study the problem of heat transport in one-dimensional (1D) spin-chain systems weakly coupled to three-dimensional phonons and impurities. We consider the limit of fast spin excitations and slow phonons, applicable to a number of…

Strongly Correlated Electrons · Physics 2009-11-10 A. L. Chernyshev , A. V. Rozhkov

The heat transport in a system of $S=1/2$ large-$J$ Heisenberg spin chains, describing closely Sr$_2$CuO$_3$ and SrCuO$_2$ cuprates, is studied theoretically at $T\ll J$ by considering interactions of the bosonized spin excitations with…

Strongly Correlated Electrons · Physics 2016-01-11 A. L. Chernyshev , A. V. Rozhkov

The quantum scattering of magnon bound states in the anisotropic Heisenberg spin chain is shown to display features similar to the scattering of solitons in classical exactly solvable models. Localized colliding Gaussian wave packets of…

Strongly Correlated Electrons · Physics 2015-12-23 Rogier Vlijm , Martin Ganahl , Davide Fioretto , Michael Brockmann , Masudul Haque , Hans Gerd Evertz , Jean-Sébastien Caux

We use thermodynamic Bethe ansatz to study nonrelativistic scattering theory of low energy excitations of 1D Hubbard model, using the $S$-matrices proposed by E\ss ler and Korepin. This model can be described by two types of excitation…

High Energy Physics - Theory · Physics 2010-02-05 Changrim Ahn , Kong-Ju-Bock Lee , Soonkeon Nam

We investigate the scattering of an electron by phonons in a small structure between two one-dimensional tight-binding leads. This model mimics the quantum electron transport through atomic wires or molecular junctions coupled to metallic…

Strongly Correlated Electrons · Physics 2017-02-27 C. Brockt , E. Jeckelmann

We study scattering of charge and spin excitations in a system of interacting electrons in one dimension. At low densities electrons form a one-dimensional Wigner crystal. To first approximation the charge excitations are the phonons in the…

Mesoscale and Nanoscale Physics · Physics 2014-08-08 K. A. Matveev , A. V. Andreev , A. D. Klironomos

Assemblies of interacting quantum particles often surprise us with properties that are difficult to predict. One of the simplest quantum many-body systems is the spin 1/2 Heisenberg antiferromagnetic chain, a linear array of interacting…

Strongly Correlated Electrons · Physics 2013-07-02 M. Mourigal , M. Enderle , A. Klöpperpieper , J. -S. Caux , A. Stunault , H. M. Rønnow

The exact one-to-one mapping between (spinless) Jordan-Wigner lattice fermions and (spin-1/2) spinons is established for all eigenstates of the one-dimensional s = 1=2 XX model on a lattice with an even or odd number N of lattice sites and…

Strongly Correlated Electrons · Physics 2009-11-11 Mitsuhiro Arikawa , Michael Karbach , Gerhard Muller , Klaus Wiele

We consider the physics of transport through quantum dots in the presence of two tunneling paths. The first path sees electrons hopping on and off the dot while the second path is modeled through a potential scattering-like term. To study…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Robert M. Konik

It is found that the finite-energy spectral properties of the one-dimensional Hubbard model are controlled by the scattering of charged $\eta$-spin-zero $2\nu$-holon composite objects, spin-zero $2\nu$-spinon composite objects, and charged…

Strongly Correlated Electrons · Physics 2015-06-25 J. M. P. Carmelo

We investigate the effect of electron-phonon interaction on the phononic properties in the one-dimensional half-filled Holstein model of spinless fermions. By means of determinantal Quantum Monte Carlo simulation we show that the behavior…

Strongly Correlated Electrons · Physics 2009-11-11 C. E. Creffield , G. Sangiovanni , M. Capone

Quantum interactions exchanging different types of particles play a pivotal r\^{o}le in quantum many-body theory, but they are not sufficiently investigated from a mathematical perspective. Here, we consider a system made of two fermions…

Mathematical Physics · Physics 2025-06-12 J. -B. Bru , W. de Siqueira Pedra , A. Ramer dos Santos

We introduce a computational framework for first-principles density matrix transport within the Wigner function formalism to predict transport of quantum-mechanical degrees of freedom such as spin over long time and length scales. This…

Mesoscale and Nanoscale Physics · Physics 2025-05-13 Mayada Fadel , Joshua Quinton , Mani Chandra , Mayank Gupta , Yuan Ping , Ravishankar Sundararaman

We study quantum quenches in the $S=1$ Heisenberg spin chain and show that the dynamics can be described by the recently developed semi-semiclassical method based on particles propagating along classical trajectories but scattering quantum…

Statistical Mechanics · Physics 2019-07-10 Miklós Antal Werner , Cătălin Paşcu Moca , Örs Legeza , Márton Kormos , Gergely Zaránd

We investigate systems of spinless one-dimensional chiral fermions realized, e.g., in the arms of electronic Mach-Zehnder interferometers, at high energies. Taking into account the curvature of the fermionic spectrum and a finite…

Strongly Correlated Electrons · Physics 2010-09-13 Markus Heyl , Stefan Kehrein , Florian Marquardt , Clemens Neuenhahn
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