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We have studied the excitation spectrum of the $S=1/2$ quantum spin ladder with staggered dimerization by dimer series expansions, diagrammatic analysis of an effective interacting Bose gas of local triplets, and exact diagonalization of…

Strongly Correlated Electrons · Physics 2009-10-31 V. N. Kotov , J. Oitmaa , Zheng Weihong

We examine the properties of the Bethe Ansatz solvable two- and three-leg spin-$S$ ladders. These models include Heisenberg rung interactions of arbitrary strength and thus capture the physics of the spin-$S$ Heisenberg ladders for strong…

Statistical Mechanics · Physics 2009-11-10 M. Maslen , M. T. Batchelor , J. de Gier

We perform a density-matrix renormalization group (DMRG) study of the S=1/2 Heisenberg antiferromagnet on the kagome lattice to identify the conjectured spin liquid ground state. Exploiting SU(2) spin symmetry, which allows us to keep up to…

Strongly Correlated Electrons · Physics 2012-08-15 Stefan Depenbrock , Ian P. McCulloch , Ulrich Schollwoeck

Despite nearly a century of study of the $S=1/2$ Heisenberg model on the square lattice, there is still disagreement on the nature of its high-energy excitations. By tuning toward the Heisenberg model from the exactly soluble Ising limit,…

Strongly Correlated Electrons · Physics 2018-10-03 Ruben Verresen , Frank Pollmann , Roderich Moessner

The dynamical structure factor of the S=1/2 bond-alternating spin chain with a next-nearest-neighbor interaction in magnetic field is investigated using the continued fraction method based on the Lanczos algorithm. When the plateau exists…

Strongly Correlated Electrons · Physics 2009-10-31 Mamoru Usami , Sei-ichiro Suga

The thermodynamic behavior of the spin $S=1/2$ antiferromagnetic two-leg ladder compound $(C_{5}H_{12}N)_{2} CuBr_{4}$ in a uniform magnetic field is studied using numerical and analytical approaches. The entropy $S(H,T)$ and specific heat…

Strongly Correlated Electrons · Physics 2015-06-17 Fatemeh Amiri , Saeed Mahdavifar , Mahboobeh Shahri Naseri

We present low-temperature dynamic properties of the quantum two-dimensional antiferromagnetic Heisenberg model with spin S=1/2. The calculation of the dynamic correlation function is performed by combining a projection operator formalism…

Strongly Correlated Electrons · Physics 2009-11-11 A. F. Albuquerque , A. S. T. Pires , M. E. Gouvea

We study low-lying spin-singlet excitations of two-leg Hubbard ladders with site-dependent potentials. Using general formulas of the charge disproportionation induced by the site-dependent potentials, we derive the contributions of spin…

Strongly Correlated Electrons · Physics 2024-03-28 Nobuya Maeshima , Ken-ichi Hino

We present a new selection rule for matrix elements of local spin operators in the $S=1/2$ ``Haldane-Shastry'' model. Based on this rule we extend a recent exact calculation \cite{H93} of the ground-state dynamical spin correlation function…

Condensed Matter · Physics 2009-10-22 J. C. Talstra , F. D. M. Haldane

The zero-field excitation spectrum of the strong-leg spin ladder (C$_7$H$_10$N)$_2$CuBr$_4$ (DIMPY) is studied with a neutron time-of-flight technique. The spectrum is decomposed into its symmetric and asymmetric parts with respect to the…

Strongly Correlated Electrons · Physics 2015-06-16 D. Schmidiger , P. Bouillot , G. Ehlers , S. Mühlbauer , A. M. Tsvelik , C. Kollath , T. Giamarchi , A. Zheludev

We present a spin-rotation-invariant Green-function theory for the dynamic spin susceptibility in the spin-1/2 antiferromagnetic Heisenberg model on a stacked honeycomb lattice. Employing a generalized mean-field approximation for arbitrary…

Strongly Correlated Electrons · Physics 2017-03-27 A. A. Vladimirov , D. Ihle , N. M. Plakida

We study the ground-state magnetic phase diagram of a spin S=1/2 antiferromagnetic two-leg ladder in the presence of period two lattice units modulated, Dzyaloshinskii-Moriya (DM) interaction along the legs. We consider the case of…

Strongly Correlated Electrons · Physics 2020-02-04 Niko Avalishvili , Bachana Beradze , George I. Japaridze

We show that a 2-leg ladder hamiltonian introduced recently by Albeverio and Fei (cond-mat/9807341) can be made to satisfy the Hecke algebra. As a result we have found an equivalent representation of the eigenspectrum in terms of the…

Statistical Mechanics · Physics 2009-10-31 M. T. Batchelor , M. Maslen

We study gapless quantum spin chains with spin 1/2 and 1: the Fredkin and Motzkin models. Their entangled groundstates are known exactly but not their excitation spectra. We first express the groundstates in the continuum which allows for…

Strongly Correlated Electrons · Physics 2017-10-25 Xiao Chen , Eduardo Fradkin , William Witczak-Krempa

The asymptotic dynamical correlation functions in one-dimensional spin chains are described by power-laws. The corresponding exponents characterize different bulk and boundary critical behavior. We present novel results for the logarithmic…

Strongly Correlated Electrons · Physics 2022-10-14 Imke Schneider , Ipsita Mandal , Polina Matveeva , Dominik Strassel , Sebastian Eggert

We study the low-energy properties of a Heisenberg spin-1/2 zigzag ladder with different exchange constants on the two chains. Using a nonlinear sigma-model field theory and abelian bosonization, we find that the excitations are gapless,…

Strongly Correlated Electrons · Physics 2009-11-07 Sujit Sarkar , Diptiman Sen

We report the results of numerical calculations of rung-rung current correlations on a 2-leg t-J ladder with J/t=0.35 for dopings x=0.125 and x=0.19. We find that the amplitude of these correlations decays exponentially. We argue that this…

Strongly Correlated Electrons · Physics 2009-11-07 D. J. Scalapino , S. R. White , I. Affleck

We investigate the spin-2 chain model corresponding to the small hopping limit of the spin-2 Bose-Hubbard model using density-matrix renormalization-group and time-evolution techniques. We calculate both static correlation functions and the…

Quantum Gases · Physics 2019-09-11 Florian Lange , Satoshi Ejima , Holger Fehske

The gap function phi(k,omega), determined from a Lanczos calculation for a doped 2-leg t-J ladder, is used to provide insight into the spatial and temporal structure of the pairing interaction. It implies that this interaction is a local…

Strongly Correlated Electrons · Physics 2009-11-10 Didier Poilblanc , Douglas J. Scalapino

We slightly strengthen an operator inequality identified by Correggi et al. that lower bounds the energy of a Heisenberg-coupled graph of $s=1/2$ spins using the total spin. In particular, $\Delta H \ge C \Delta\vec{S}^2$ for a…

Quantum Physics · Physics 2023-02-23 Daniel Ranard , C. Jess Riedel