Emptiness formation probability at finite temperature for the isotropicHeisenberg chain
نویسندگان
چکیده
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 function of temperature, magnetic field and length of the string.
منابع مشابه
The emptiness formation probability correlation in homogeneous and dimerized XX chains
We review some known properties of the “emptiness formation probability” correlation which we have calculated numerically for spin-1/2 XX chains with constant (homogeneous) or alternating (dimerized) nearestneighbor coupling and an external field (in z direction) for arbitrary temperature. The long-distance asymptotic behavior of this correlation is known to be Gaussian at zero temperature and ...
متن کاملA note on the high temperature expansion of the density matrix for the isotropic Heisenberg chain
Göhmann, Klümper and Seel derived the multiple integral formula of the density matrix of the XXZ Heisenberg chain at finite temperatures. We have applied the high temperature expansion (HTE) method to isotropic case of their formula in a finite magnetic field and obtained coefficients for several short-range correlation functions. For example, we have succeeded to obtain the coefficients of the...
متن کاملExact solution of Riemann–Hilbert problem for a correlation function of the XY spin chain
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 Riemann–Hilbert problem and solve it exactly. The EFP is shown to decay in Gaussian. In this letter we study the Riemann–Hilbert problem associated with a correlat...
متن کاملEmptiness Formation Probability and Quantum Knizhnik-Zamolodchikov Equation
We consider the one-dimensional XXX spin 1/2 Heisenberg antiferromagnet at zero temperature and zero magnetic field. We are interested in a probability of formation of a ferromagnetic string P (n) in the antiferromagnetic ground-state. We call it emptiness formation probability [EFP]. We suggest a new technique for computation of the EFP in the inhomogeneous case. It is based on the quantum Kni...
متن کاملEmptiness formation probability of the integrable higher-spin XXX and XXZ spin chains through the fusion method
For the integrable higher-spin XXX and XXZ spin chains we show an explicit formula for the multiple-integral representations of the emptiness formation probability (EFP) in the massless ground-state at zero temperature. We first derive it for the inhomogeneous spin-s XXZ chain, and then for the homogeneous chain, sending the spin-s inhomogeneous parameters to zero. We assume 2s-strings for the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004