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A s=1/2 antiferromagnetic spin chain is equivalent to the two-flavor massless Schwinger model in an uniform background charge density in the strong coupling. The gapless mode of the spin chain is represented by a massless boson of the…

Statistical Mechanics · Physics 2009-10-30 Yutaka Hosotani

We study the phase diagram of coupled spin-1/2 chains with bilinear and (chiral) three-spin exchange interactions in a magnetic field. The model is soluble on a one-parametric line in the space of coupling constants connecting the limiting…

Strongly Correlated Electrons · Physics 2009-10-31 Holger Frahm , Claus Rödenbeck

Low-energy excitations in spin 1/2 antiferromagnetic Heisenberg spin ladders are studied by bosonization and gauge theoretical description. It is explicitly shown that zero modes in the bosonization play an essentially important role.…

Condensed Matter · Physics 2009-10-30 Ikuo Ichinose , Yasuyuki Kayama

An S=1/2 anti-ferromagnetic spin chain is mapped to the two-flavor massless Schwinger model, which admits a gapless mode. In a spin ladder system rung interactions break the chiral invariance. These systems are solved by bosonization. If…

Statistical Mechanics · Physics 2008-02-03 Yutaka Hosotani

We study a model of two weakly coupled isotropic spin-1/2 Heisenberg chains with an antiferromagnetic coupling along the chains. It is shown that the system always has a spectral gap. For the case of identical chains the model in the…

Condensed Matter · Physics 2009-10-28 D. G. Shelton , A. A. Nersesyan , A. M. Tsvelik

We perform a systematic investigation of an asymmetric zig-zag spin ladder with inter-leg exchange $J_1$ and different exchange integrals $J_2 \pm \delta$ on both legs. In the weak limit of frustration, the spin model can be mapped to a…

Strongly Correlated Electrons · Physics 2016-08-16 Shu Chen , H. Büttner , J. Voit

We develop a low-energy effective theory for spin-1/2 frustrated two-leg Heisenberg spin ladders. We obtain a new type of interchain coupling that breaks parity symmetry. In the presence of an XXZ-type anisotropy, this interaction gives…

Strongly Correlated Electrons · Physics 2009-10-31 Alexander A. Nersesyan , Alexander O. Gogolin , Fabian H. L. Essler

We consider the detailed structure of low energy excitations in the periodic spin-1/2 XXZ Heisenberg chain. By performing a perturbative calculation of the non-linear corrections to the Gaussian model, we determine the exact coefficients of…

Strongly Correlated Electrons · Physics 2010-10-20 Michael Bortz , Michael Karbach , Imke Schneider , Sebastian Eggert

We use exact diagonalization and the modified Lanczos method to study the finite energy and finite momentum spectral weight of the longitudinal and transverse spin excitations of the anisotropic zig-zag ladder. We find that the spin…

Strongly Correlated Electrons · Physics 2009-11-07 P. D. Sacramento , V. R. Vieira

We analyse a model of a one-dimensional electron gas interacting with an antiferromagnetic Heisenberg spin-1/2 chain via the spin exchange interactions. Using a solution at a special limit, we characterize the gapless modes of the spin gap…

Strongly Correlated Electrons · Physics 2016-08-31 Oron Zachar , Alexei M. Tsvelik

We consider the spin-1/2 Heisenberg chain with alternating spin exchange %on even and odd sites in the presence of additional modulation of exchange on odd bonds with period three. We study the ground state magnetic phase diagram of this…

Strongly Correlated Electrons · Physics 2015-05-30 M. Shahri Naseri , G. I. Japaridze , S. Mahdavifar , S. Farjami Shayesteh

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 isotropic S=1/2 antiferromagnetic spin ladder with additional four-spin ring exchange is studied perturbatively in the strong coupling regime with the help of cluster expansion technique, and by means of bosonization in the weak…

Strongly Correlated Electrons · Physics 2009-11-07 M. Mueller , T. Vekua , H. -J. Mikeska

The ground state properties of spin-1/2 ladders are studied, emphasizing the role of frustration and ring exchange coupling. We present a unified field theory for ladders with general coupling constants and geometry. Rich phase diagrams can…

Strongly Correlated Electrons · Physics 2017-04-19 Alexandros Metavitsiadis , Sebastian Eggert

We investigate low-energy properties of the alternating spin chain model composed of spin $s_1$ and $s_2$ with a singlet ground state. After examining the spin-wave spectrum in detail, we map low-energy spin excitations to the O(3)…

Statistical Mechanics · Physics 2009-10-30 T. Fukui , N. Kawakami

Haldane's seminal work established two fundamentally different types of excitation spectra for antiferromagnetic Heisenberg quantum spin chains: gapped excitations in integer-spin chains and gapless excitations in half-integer-spin chains.…

We analyse the antiferromagnetic spin-1/2 Heisenberg model on a depleted kagome lattice, where some bonds have been reduced to exchange integral J_2 << J_1. The fully depleted system consists of 1D chains, each with a doubly degenerate…

Strongly Correlated Electrons · Physics 2007-05-23 C. Hooley , A. M. Tsvelik

We analyze the phase diagram of a system of spin-1/2 Heisenberg antiferromagnetic chains interacting through a zig-zag coupling, also called zig-zag ladders. Using bosonization techniques we study how a spin-gap or more generally plateaux…

Strongly Correlated Electrons · Physics 2015-03-03 D. C. Cabra , A. Honecker , P. Pujol

We numerically investigate elementary excitations of the Heisenberg alternating-spin chains with two kinds of spins 1 and 1/2 antiferromagnetically coupled to each other. Employing a recently developed efficient Monte Carlo technique as…

Statistical Mechanics · Physics 2009-10-30 Shoji Yamamoto , S. Brehmer , H. -J. Mikeska

We consider a spin-1/2 tube (a three-leg ladder with periodic boundary conditions) with a Hamiltonian given by two projection operators - one on the triangles, and the other on the square plaquettes on the side of the tube - that can be…

Strongly Correlated Electrons · Physics 2012-01-09 M. Lajko , P. Sindzingre , K. Penc
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