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The long-time and long-distance asymptotic behavior of the $x$ spin correlations at finite temperature in an anisotropic spin-1/2 XY chain is determined numerically. The decay of the correlations is exponential in both space and time.…

Statistical Mechanics · Physics 2011-09-01 Jörn Krones , Joachim Stolze

We present an integral formula for a special correlation function of the isotropic spin-1/2 antiferromagnetic Heisenberg chain. The correlation function describes the probability for the occurrence of a string of consecutive up-spins as a…

Statistical Mechanics · Physics 2017-08-16 F. Göhmann , A. Klümper , A. Seel

Using its multiple integral representation, we compute the large distance asymptotic behavior of the emptiness formation probability of the XXZ spin-1/2 Heisenberg chain in the massless regime.

High Energy Physics - Theory · Physics 2009-11-07 N. Kitanine , J. M. Maillet , N. A. Slavnov , V. Terras

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

We use the density matrix renormalization group method (DMRG) to compute the frequency and momentum resolved spin-spin correlation functions of a dimerized spin-1/2 chain under a magnetic field at finite temperature. The spectral features…

Strongly Correlated Electrons · Physics 2018-10-09 Emanuele Coira , Peter Barmettler , Thierry Giamarchi , Corinna Kollath

We study the Emptiness Formation Probability (EFP) for the spin 1/2 XXZ spin chain. EFP P(n) detects a formation of ferromagnetic string of the length n in the ground state. It is expected that EFP decays in a Gaussian way for large strings…

Statistical Mechanics · Physics 2011-07-19 V. E. Korepin , S. Lukyanov , Y. Nishiyama , M. Shiroishi

A correlation function of the XY spin chain is studied at zero temperature. This is called the Emptiness Formation Probability (EFP) and is expressed by the Fredholm determinant in the thermodynamic limit. We formulate the associated…

Condensed Matter · Physics 2009-10-31 Yasuhiro Fujii

We study an asymptotic behavior of a special correlator known as the Emptiness Formation Probability (EFP) for the one-dimensional anisotropic XY spin-1/2 chain in a transverse magnetic field. This correlator is essentially the probability…

Strongly Correlated Electrons · Physics 2009-11-11 Fabio Franchini , Alexander G. Abanov

Using a multiple integral representation for the correlation functions, we compute the emptiness formation probability of the XXZ spin-1/2 Heisenberg chain at anisotropy Delta=1/2. We prove it is expressed in term of the number of…

High Energy Physics - Theory · Physics 2009-11-07 N. Kitanine , J. M. Maillet , N. A. Slavnov , V. Terras

Recently, G\"ohmann, Kl\"umper and Seel have derived novel integral formulas for the correlation functions of the spin-1/2 Heisenberg chain at finite temperature. We have found that the high temperature expansion (HTE) technique can be…

Statistical Mechanics · Physics 2007-05-23 Zengo Tsuboi , Masahiro Shiroishi

We calculate the long time and distance asymptotics of the one-particle correlation functions in the model of impenetrable spin 1/2 fermions in 1+1 dimensions. We consider the spin disordered zero temperature regime, which occurs when the…

Strongly Correlated Electrons · Physics 2009-11-10 Vadim V Cheianov , M B Zvonarev

We study spin chirality for a spin-1/2 zigzag XY chain at low temperature by applying a low-temperature density-matrix renormalization group technique. We calculate temperature dependence of dynamical and static correlations of the…

Strongly Correlated Electrons · Physics 2010-08-27 Takanori Sugimoto , Shigetoshi Sota , Takami Tohyama

We present a general method to calculate the connected correlation function of random Ising chains at zero temperature. This quantity is shown to relate to the surviving probability of some one-dimensional, adsorbing random walker on a…

Condensed Matter · Physics 2009-10-22 Ferenc Igloi

We performed a finite-temperature quantum Monte Carlo simulation of the one-dimensional spin-1/2 Heisenberg model with nearest-neighbor interaction coupled to Einstein phonons. Our method allows to treat easily up to 100 phonons per site…

Condensed Matter · Physics 2007-05-23 Rainer W. Kühne , Ute Löw

We study the zero- and the finite-temperature behavior of the integrable spin-1/2 XXZ periodic chain with an impurity by the algebraic and thermal Bethe ansatz methods. We evaluate the impurity local magnetization at zero temperature…

Statistical Mechanics · Physics 2015-04-27 Ryoko Yahagi , Jun Sato , Tetsuo Deguchi

This paper is devoted to the study of the emptiness formation probability $\tau\pa{m}$ of the open XXZ chain. We derive a closed form for $\tau\pa{m}$ at $\Delta=\tf{1}{2}$ when the boundary field vanishes. Moreover we obtain its leading…

High Energy Physics - Theory · Physics 2008-11-26 K. K. Kozlowski

For the integrable higher-spin XXX and XXZ spin chains we present multiple-integral representations for the correlation function of an arbitrary product of Hermitian elementary matrices in the massless ground state. We give a formula…

Statistical Mechanics · Physics 2011-02-11 Tetsuo Deguchi , Chihiro Matsui

We establish a direct connection between inhomogeneous XX spin chains (or free fermion systems with nearest-neighbors hopping) and certain QES models on the line giving rise to a family of weakly orthogonal polynomials. We classify all such…

Strongly Correlated Electrons · Physics 2020-09-24 Federico Finkel , Artemio González-López

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 investigate the low-temperature thermodynamics of the spin-1/2 Heisenberg chain with open ends. On the basis of boundary conformal field theory arguments and numerical density matrix renormalization group calculations, it is established…

Strongly Correlated Electrons · Physics 2009-11-10 Satoshi Fujimoto , Sebastian Eggert
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