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Related papers: Spin diffusion and the spin 1/2 XXZ chain at $T=\i…

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The dynamical properties of the S=1/2 antiferromagnetic XXZ chain are studied by the exact diagonalization and the recursion method of finite systems up to 24 sites. Two types of the exchange interaction are considered: one is the…

Strongly Correlated Electrons · Physics 2009-10-31 Yasuhiro Saiga , Yoshio Kuramoto

We consider an XXZ spin-1/2 chain in the presence of several types of disorder that do not break the XY symmetry of the system. We calculate the complete asymptotic form of the spin-correlation functions at zero temperature at the…

Statistical Mechanics · Physics 2012-07-16 Zoran Ristivojevic , Aleksandra Petkovic , Thierry Giamarchi

We study the dynamics of spin currents in the XX spin-1/2 ladder at finite temperature. Within the framework of linear response theory, we numerically calculate autocorrelation functions for quantum systems larger than what is accessible…

Strongly Correlated Electrons · Physics 2014-09-29 R. Steinigeweg , F. Heidrich-Meisner , J. Gemmer , K. Michielsen , H. De Raedt

Dynamic xx spin pair correlation functions for the isotropic spin-1/2 XY chain are calculated numerically for long open chains in the presence of a transverse magnetic field at finite temperature. As an application we discuss the…

Condensed Matter · Physics 2009-10-31 O. Derzhko , T. Krokhmalskii , J. Stolze

We compute, by means of exact diagonalization of systems of N=16 and 18 spins, the correlation function <\sigma^z_0\sigma^z_n> at nonzero temperature for the XXZ model with anisotropy \Delta. In the gapless ferromagnetic region -1<\Delta<0…

Statistical Mechanics · Physics 2009-10-31 Klaus Fabricius , Barry M. McCoy

The effects of randomness and dimerization on the spin-1/2 XX chain are studied by a mapping to free fermions. Results are presented for the transverse and longitudinal components of the average and typical spin and string correlation…

Disordered Systems and Neural Networks · Physics 2009-10-30 P. Henelius , S. M. Girvin

We present accurate numerical estimates for the correlation amplitudes of leading and main subleading terms of the two- and four-spin correlation functions in the one-dimensional spin-1/2 XXZ model under a magnetic field. These data are…

Strongly Correlated Electrons · Physics 2009-11-10 T. Hikihara , A. Furusaki

We obtain a new multiple integral representation for the spin-spin correlation functions of the XXZ spin-1/2 infinite chain. We show that this representation is closely related with the partition function of the six-vertex model with domain…

High Energy Physics - Theory · Physics 2016-09-06 N. Kitanine , J. M. Maillet , N. A. Slavnov , V. Terras

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…

Strongly Correlated Electrons · Physics 2009-06-16 S. Langer , F. Heidrich-Meisner , J. Gemmer , I. P. McCulloch , U. Schollwoeck

We investigate numerically the inverse participation ratios in a spin-1/2 XXZ chain, computed in the "Ising" basis (i.e., eigenstates of $\sigma^z_i$). We consider in particular a quantity $T$, defined by summing the inverse participation…

Strongly Correlated Electrons · Physics 2016-10-13 Grégoire Misguich , Vincent Pasquier , Jean-Marc Luck

We studied the non-equilibrium short-time dynamics of a spin-1/2 chain with Dzyaloshinskii-Moriya interactions after a sudden quench by a transverse field. We found that inhomogeneous spin-spirals with opposite chiralities propagate from…

Strongly Correlated Electrons · Physics 2011-08-26 E. Solano-Carrillo , R. Franco , J. Silva-Valencia

We apply the recently developed thermal form factor expansion method to evaluate the real-time longitudinal spin-spin correlation functions of the spin-$\frac{1}{2}$ XXZ chain in the antiferromagnetically ordered regime at temperature…

Statistical Mechanics · Physics 2021-05-26 Constantin Babenko , Frank Göhmann , Karol K. Kozlowski , Jesko Sirker , Junji Suzuki

We calculate certain string correlation functions, originally introduced as order parameters in integer spin chains, for the spin-1/2 XXZ Heisenberg chain at zero temperature and in the thermodynamic limit. For small distances, we obtain…

Statistical Mechanics · Physics 2008-12-18 Michael Bortz , Jun Sato , Masahiro Shiroishi

We explore the physics of the disordered XYZ spin chain using two complementary numerical techniques: exact diagonalization (ED) on chains of up to 17 spins, and time-evolving block decimation (TEBD) on chains of up to 400 spins. Our…

Disordered Systems and Neural Networks · Physics 2018-11-14 Maximilian Schulz , Scott Richard Taylor , Christopher Andrew Hooley , Antonello Scardicchio

Combining a lattice path integral formulation for thermodynamics with the solution of the quantum inverse scattering problem for local spin operators, we derive a multiple integral representation for the time-dependent longitudinal…

Statistical Mechanics · Physics 2008-11-26 Kazumitsu Sakai

Using multiple integral representations, we derive exact expressions for the correlation functions of the spin-1/2 Heisenberg chain at the free fermion point.

High Energy Physics - Theory · Physics 2015-06-26 N. Kitanine , J. M. Maillet , N. A. Slavnov , V. Terras

The spin-spin correlation function of the spherical model being precisely at an anisotropic Lifshitz point of arbitrary order is calculated exactly. The results are in agreement with scaling. The scaling function is shown to be universal.…

Condensed Matter · Physics 2011-09-26 Laurent Frachebourg , Malte Henkel

We investigate the long-distance asymptotic behavior of the dimer correlations in the spin-1/2 alternating $XY$chain both at T=0 and at sufficiently low-temperatures. The correlations consist of the dimer long-range order part and the…

Condensed Matter · Physics 2007-05-23 Yohei Saika , Kiyomi Okamoto

The density-matrix renormalization-group technique is used to calculate the spin correlation functions <S^x_jS^x_k> and <S^z_jS^z_k> of the one-dimensional S=1/2 XXZ model in the gapless regime. The numerical results for open chains of 200…

Statistical Mechanics · Physics 2009-10-31 T. Hikihara , A. Furusaki

We investigate an open XXZ spin 1/2 chain driven out of equilibrium by coupling with boundary reservoirs targeting different spin orientations in XY plane. Symmetries of the model are revealed which appear to be different for spin chains of…

Statistical Mechanics · Physics 2015-06-11 V. Popkov