Decoupling of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn><mml:mn /></mml:math>antiferromagnetic zig-zag ladder with anisotropy

Vieira, V. R.; Guihéry, Nathalie; Rodriguez, J. P.; Sacramento, P. D.

doi:10.1103/physrevb.63.224417

Cited by 9 publications

(19 citation statements)

References 31 publications

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“…In this doubly degenerate phase a nonzero spin current polarized along the easy axis flows along the ladder, and the transverse spin-spin correlations are incommensurate and may even decay algebraically within some parameter range, as it is the case at the XX point. This picture is supported by recent numerical simulations 11,12,13,14 . In particular, the numerical work by Hikihara et al 11,12 has indeed confirmed the existence of the critical spin-nematic phase in a broad region of the phase diagram for spin-anisotropic chains, both for integer and half-integer spins.…”

Section: Introductionsupporting

confidence: 69%

Ordered phases of XXZ-symmetric spin-1/2 zigzag ladder

2004

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Using bosonization approach, we derive an effective low-energy theory for XXZ-symmetric spin-1/2 zigzag ladders and discuss its phase diagram by a variational approach. A spin nematic phase emerges in a wide part of the phase diagram, either critical or massive. Possible crossovers between the spontaneously dimerized and spin nematic phases are discussed, and the topological excitations in all phases identified.

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Section: Introductionsupporting

confidence: 69%

Ordered phases of XXZ-symmetric spin-1/2 zigzag ladder

2004

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“…Conversely, exact diagonalization studies find a finite Drude weight in the gapless phase of the frustrated spin-1/2 chain at zero temperature. 74,75,90 In the low, or more extremely, zero temperature case, effective low-energy theories are expected to give a valid description, which typically predict diverging transport coefficients of clean spin systems (see, e.g., Ref. 91).…”

Section: Summary and Discussionmentioning

confidence: 99%

Real-time study of diffusive and ballistic transport in spin-12chains using the adaptive time-dependent density matrix renormalization group method

et al. 2009

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Using the adaptive time-dependent density matrix renormalization group method, we numerically study the spin dynamics and transport in one-dimensional spin-1/2 systems at zero temperature. Instead of computing transport coefficients from linear response theory, we study the real-time evolution of the magnetization starting from spatially inhomogeneous initial states. In particular, we are able to analyze systems far away from equilibrium with this set-up. By computing the timedependence of the variance of the magnetization, we can distinguish diffusive from ballistic regimes, depending on model parameters. For the example of the anisotropic spin-1/2 chain and at half filling, we find the expected ballistic behavior in the easy-plane phase, while in the massive regime the dynamics of the magnetization is diffusive. Our approach allows us to tune the deviation of the initial state from the ground state and the qualitative behavior of the dynamics turns out to be valid even for highly perturbed initial states in the case of easy-plane exchange anisotropies. We further cover two examples of nonintegrable models, the frustrated chain and the two-leg spin ladder, and we encounter diffusive transport in all massive phases. In the former system, our results indicate ballistic behavior in the critical phase. We propose that the study of the time-dependence of the spatial variance of particle densities could be instrumental in the characterization of the expansion of ultracold atoms in optical lattices as well.

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“…Also, recently an analysis of the exact properties of such finite systems was carried out, looking at various correlation functions and the structure of the spectrum both in the isotropic and the anisotropic cases [32]. The spin stiffness of the zig-zag ladder was calculated, and it was found evidence for a gapless regime at weak coupling that survives the thermodynamic limit in the case of XY anisotropy.…”

Section: Hamiltonianmentioning

confidence: 99%

Spin dynamics of theS= 1/2 antiferromagnetic zig-zag ladder with anisotropy

Sacramento¹,

Vieira²

2001

J. Phys.: Condens. Matter

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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 excitations form continua of gapless or gapped spinons in the different regions of the phase diagram. The results obtained are consistent with a picture previously proposed that in the anisotropic case there is a transition from a gapped regime to a gapless regime, for small interchain coupling. In this regime we find a sharp low-energy peak in the structure function for the transverse spin excitations, consistent with a finite stiffness.

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Decoupling of theS=1/2antiferromagnetic zig-zag ladder with anisotropy

Cited by 9 publications

References 31 publications

Ordered phases of XXZ-symmetric spin-1/2 zigzag ladder

Ordered phases of XXZ-symmetric spin-1/2 zigzag ladder

Real-time study of diffusive and ballistic transport in spin-12chains using the adaptive time-dependent density matrix renormalization group method

Spin dynamics of theS= 1/2 antiferromagnetic zig-zag ladder with anisotropy

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