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We establish several properties of the solutions to the linear integral equations describing the infinite volume properties of the XXZ spin-1/2 chain in the disordered regime. In particular, we obtain lower and upper bounds for the dressed…

Mathematical Physics · Physics 2014-04-14 Maxime Dugave , Frank Göhmann , Karol K. Kozlowski

We develop an approach to describe antiferromagnetic magnons on a bipartite lattice supporting the N\'{e}el state using fractionalized degrees of freedom typically inherent to quantum spin liquids. In particular we consider a long-range…

Strongly Correlated Electrons · Physics 2018-08-08 Rui Wang , Baigeng Wang , T. A. Sedrakyan

The low energy behavior of a huge variety of one-dimensional interacting spinful fermionic systems exhibits spin-charge separation, described in the continuum limit by two sine-Gordon models decoupled in the charge and spin channels.…

Strongly Correlated Electrons · Physics 2017-10-02 Arianna Montorsi , Fabrizio Dolcini , Rita Iotti , Fausto Rossi

We study an integrable spin chain with an alternating array of spins S=1/2, 1 in external magnetic fields using the Bethe ansatz exact solution. The calculated magnetization possesses a cusp structure at a critical magnetic field H=H_{C},…

Statistical Mechanics · Physics 2016-08-31 Mitsuru Fujii , Satoshi Fujimoto , Norio Kawakami

We study an antiferromagnetic spin-1/2 model with up to third nearest-neighbor couplings on the Kagome lattice in the easy-axis limit, and show that its low-energy dynamics are governed by a four site XY ring exchange Hamiltonian. Simple…

Strongly Correlated Electrons · Physics 2009-11-07 L. Balents , M. P. A. Fisher , S. M. Girvin

We use quantum Monte Carlo simulations to study a quantum $S=1/2$ spin model with competing multi-spin interactions. We find a quantum phase transition between a columnar valence-bond solid (cVBS) and a N\'eel antiferromagnet (AFM), as in…

Strongly Correlated Electrons · Physics 2020-07-09 Bowen Zhao , Jun Takahashi , Anders W. Sandvik

We study the thermodynamics of one-dimensional quantum spin-1/2 Heisenberg ferromagnetic system with random antiferromagnetic impurity bonds. In the dilute impurity limit, we generalize the modified spin-wave theory for random spin chains,…

Disordered Systems and Neural Networks · Physics 2009-11-07 Xin Wan , Kun Yang , R. N. Bhatt

Semi-infinite quantum spin chains display spin autocorrelations near the boundary with power-law exponents that are given by boundary conformal field theories. We show that NMR measurements on spinless impurities that break a quantum spin…

Strongly Correlated Electrons · Physics 2009-10-31 V. Brunel , M. Bocquet , Th. Jolicoeur

Electronic states with fractional spins arise in systems with large static correlation (strongly correlated systems). Such fractional-spin states are shown to be ensembles of degenerate ground states with normal spins. It is proven here…

Other Condensed Matter · Physics 2009-11-13 Aron J. Cohen , Paula Mori-Sánchez , Weitao Yang

We derive exact strong zero mode (ESZM) operators for integrable spin-S chains with open boundary conditions and a boundary field. Their locality properties are generally weaker than in the previously known cases, but they still imply…

Statistical Mechanics · Physics 2026-03-30 Fabian H. L. Essler , Paul Fendley , Eric Vernier

We analyze random isotropic antiferromagnetic SU(N) spin chains using the real space renormalization group. We find that they are governed at low energies by a universal infinite randomness fixed point different from the one of random…

Strongly Correlated Electrons · Physics 2007-05-23 J. A. Hoyos , E. Miranda

We report the findings of fractional topological states in one-dimensional periodically modulated quantum spin chains with up to third neighbor interactions. By exact numerical studies, we demonstrate the existence of topologically…

Strongly Correlated Electrons · Physics 2016-04-27 Haiping Hu , Huaiming Guo , Shu Chen

Strongly interacting one-dimensional (1D) Bose-Fermi mixtures form a tunable XXZ spin chain. Within the spin-chain model developed here, all properties of these systems can be calculated from states representing the ordering of the bosons…

Quantum Gases · Physics 2017-04-25 F. Deuretzbacher , D. Becker , J. Bjerlin , S. M. Reimann , L. Santos

We study a one-dimensional Hamiltonian consisting of coupled SU(2) spin and orbital degrees of freedom. Using the density matrix renormalization group, we calculate the phase-diagram and the ground state correlation functions for this…

Condensed Matter · Physics 2009-10-31 Swapan K. Pati , Rajiv R. P. Singh , Daniel I. Khomskii

Non-magnetic impurities break a quantum spin chain into finite segments and induce Friedel-like oscillations in the local susceptibility near the edges. The signature of these oscillations has been observed in Knight shift experiments on…

Strongly Correlated Electrons · Physics 2009-06-22 J. Sirker , N. Laflorencie

The bulk electric polarization works as a nonlocal order parameter that characterizes topological quantum matters. Motivated by a recent paper [H. Watanabe \textit{et al.}, Phys. Rev. B {\bf 103}, 134430 (2021)], we discuss magnetic analogs…

Strongly Correlated Electrons · Physics 2021-11-03 Shunsuke C. Furuya , Masahiro Sato

We present an SU(2) gauge theory of fluctuating stripe order in the two-dimensional Hubbard model. The theory is based on a fractionalization of the electron operators in fermionic chargons with a pseudospin degree of freedom, and charge…

Strongly Correlated Electrons · Physics 2026-05-08 Henrik Müller-Groeling , Pietro M. Bonetti , Paulo Forni , Walter Metzner

We propose an effective theory for the critical phase of a quantum ferrimagnetic chain with alternating spins 1 and 1/2 in an external magnetic field. With the help of the matrix product variational approach, the system is mapped to a…

Strongly Correlated Electrons · Physics 2009-10-31 A. K. Kolezhuk , H. -J. Mikeska , K. Maisinger , U. Schollwock

The antiferromagnetic spin-one chain is considerably one of the most fundamental quantum many-body systems, with symmetry protected topological order in the ground state. Here, we present results for its dynamical spin structure factor at…

Strongly Correlated Electrons · Physics 2017-08-09 Jonas Becker , Thomas Köhler , Alexander C. Tiegel , Salvatore R. Manmana , Stefan Wessel , Andreas Honecker

Using a combination of high-temperature series expansion, exact diagonalization and quantum Monte Carlo, we perform a complementary analysis of the thermodynamic properties of quasi-one-dimensional mixed-spin systems with alternating…

Strongly Correlated Electrons · Physics 2007-05-23 Noboru Fukushima , Andreas Honecker , Stefan Wessel , Wolfram Brenig