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In this work we argue that the antiferromagnetic spin $\frac{1}{2}$ XXZ chain in the gapped phase with boundary magnetic fields hosts fractional spin $\frac{1}{4}$ at its edges. Using a combination of Bethe ansatz and the density matrix…

Strongly Correlated Electrons · Physics 2023-12-12 Parameshwar R. Pasnoori , Yicheng Tang , Junhyun Lee , J. H. Pixley , Natan Andrei , Patrick Azaria

The problem of characterizing low-temperature spin dynamics in antiferromagnetic spin chains has so far remained elusive. We reinvestigate it by focusing on isotropic antiferromagnetic chains whose low-energy effective field theory is…

Statistical Mechanics · Physics 2019-11-06 Jacopo De Nardis , Marko Medenjak , Christoph Karrasch , Enej Ilievski

Fractionalization is a phenomenon in which strong interactions in a quantum system drive the emergence of excitations with quantum numbers that are absent in the building blocks. Outstanding examples are excitations with charge e/3 in the…

In part (I) of this two paper series on stripe fractionalization, we argued that in principle the `domain wall-ness' of the stripe phase could persist in the spin and charge disordered superconductors, and we demonstrated how this physics…

Superconductivity · Physics 2015-06-24 J. Zaanen , Z. Nussinov

The emergence of effective $S=1/2$ spins at the edges of $S=1$ Haldane spin chains is one of the simplest examples of fractionalization. Whereas there is indirect evidence of this phenomenon, direct measurement of the magnetic moment of an…

Mesoscale and Nanoscale Physics · Physics 2023-11-28 Y. del Castillo , J. Fernández-Rossier

A sign of topological order in a gapped one-dimensional quantum chain is the existence of edge zero modes. These occur in the Z_2-invariant Ising/Majorana chain, where they can be understood using free-fermion techniques. Here I discuss…

Strongly Correlated Electrons · Physics 2015-06-11 Paul Fendley

We investigate spin correlations in one-dimensional $SU(2)$-invariant Heisenberg chains with exchange disorder for spin lengths $S=1/2$ and $S=1$. In the weak-disorder regime, the eigenmodes of the spin-spin correlation matrix are…

Disordered Systems and Neural Networks · Physics 2025-08-04 Debasmita Giri , Julian Siegl , John Schliemann

The antiferromagnetic (AFM) materials are robust to external magnetic perturbation due to missing any net magnetic moment. In general, the spin splitting in the band structures disappears in these antiferromagnets. However, the…

Materials Science · Physics 2023-07-12 San-Dong Guo

We study a Kagome-like spin-$1/2$ Heisenberg ladder with competing ferromagnetic (FM) and antiferromagnetic (AFM) exchange interactions. Using the density-matrix renormalization group based calculations, we obtain the ground state phase…

Strongly Correlated Electrons · Physics 2021-05-13 Tomoki Yamaguchi , Yukinori Ohta , Satoshi Nishimoto

We study the spin stiffness of a one-dimensional quantum antiferromagnet in the whole range of system sizes $L$ and temperatures $T$. We show that for integer and half-odd integer spin case the stiffness differs fundamentally in its $L$ and…

Condensed Matter · Physics 2009-10-22 Daniel Loss , Dmitrii L. Maslov

In quantum spin liquids, fractional spinon excitations carry half-integer spins and other fractional quantum numbers of lattice and time-reversal symmetries. Different patterns of symmetry fractionalization distinguish different spin liquid…

Strongly Correlated Electrons · Physics 2018-03-21 Yang Qi , Meng Cheng

Linear Heisenberg antiferromagnets (HAFs) are chains of spin-$S$ sites with isotropic exchange $J$ between neighbors. Open and periodic boundary conditions return the same ground state energy in the thermodynamic limit, but not the same…

Strongly Correlated Electrons · Physics 2016-10-19 Dayasindhu Dey , Manoranjan Kumar , Zoltán G. Soos

The fermion representation for S = 1/2 spins is generalized to spins with arbitrary magnitudes. The symmetry properties of the representation is analyzed where we find that the particle-hole symmetry in the spinon Hilbert space of S =1/2…

Strongly Correlated Electrons · Physics 2011-02-28 Zheng-Xin Liu , Yi Zhou , Tai-Kai Ng

Spin-polarized antiferromagnets (AFMs), including altermagnets, noncollinear AFMs, and two-dimensional layer-polarized AFMs, have emerged as transformative materials for next-generation spintronic and optoelectronic technologies. These…

Materials Science · Physics 2025-06-23 Zhenzhou Guo , Xiaotian Wang , Wenhong Wang , Gang Zhang , Xiaodong Zhou , Zhenxiang Cheng

We consider integrable quantum spin chains with alternating spins (S_1,S_2). We derive a finite set of non-linear integral equations for the thermodynamics of these models by use of the quantum transfer matrix approach. Numerical solutions…

Exactly Solvable and Integrable Systems · Physics 2008-11-26 G. A. P. Ribeiro , A. Klümper

Confinement of fractionalized excitations can strongly restructure many-body spectra. We investigate this phenomenon in the gapped spin-$\frac{1}{2}$ XXZ chain subject to a staggered field, where spinons bind into domain-wall ``mesons''…

Strongly Correlated Electrons · Physics 2025-11-20 Julia Wildeboer , Marton Lajer , Robert M. Konik

Many popular models of fractionalized spin liquids contain neutral fermionic spinon excitations on a Fermi surface, carrying unit charges under a compact U(1) gauge force. We argue that instanton effects generically render such states…

Strongly Correlated Electrons · Physics 2011-08-08 Igor F. Herbut , Babak H. Seradjeh , Subir Sachdev , Ganpathy Murthy

Chirality in magnetic systems gives rise to a wide range of exotic phenomena, yet its influence in $S=1$ chains remains largely unexplored. Here, we present a comprehensive experimental study of a chiral antiferromagnetic (AFM) $S=1$ chain,…

We study the low-energy physics of a broad class of time-reversal invariant and SU(2)-symmetric one-dimensional spin-S systems in the presence of quenched disorder via a strong-disorder renormalization-group technique. We show that, in…

Disordered Systems and Neural Networks · Physics 2016-08-08 V. L. Quito , José A. Hoyos , E. Miranda

We develop a boundary field theory approach to electron spin resonance in open $S=1/2$ Heisenberg antiferromagnetic chains with an effective staggered field. In terms of the sine Gordon effective field theory with boundaries,we point out…

Strongly Correlated Electrons · Physics 2012-12-11 Shunsuke C. Furuya , Masaki Oshikawa
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