The emptiness formation probability correlation in homogeneous and dimerized XX chains

نویسندگان

  • J. Stolze
  • T. Garske
چکیده

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 exponential at finite temperature for the homogeneous chain. By simple analytical arguments the exponential behavior at finite temperature extends to the dimerized system. Numerical results for the dimerized chain confirm the exponential decay at finite temperature and show Gaussian decay at zero temperature.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Emptiness 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 کامل

Emptiness 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 کامل

Emptiness formation probability at finite temperature for the isotropicHeisenberg chain

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.

متن کامل

A new correlator in quantum spin chains

We propose a new correlator in one-dimensional quantum spin chains, the s−Emptiness Formation Probability (s−EFP). This is a natural generalization of the Emptiness Formation Probability (EFP), which is the probability that the first n spins of the chain are all aligned downwards. In the s−EFP we let the spins in question be separated by s sites. The usual EFP corresponds to the special case wh...

متن کامل

Spin-wave theory for dimerized ferromagnetic chains

We describe a Peierls dimerization which occurs in ferromagnetic spin chains at finite temperature, within the modified spin-wave theory. Usual spin-wave theory is modified by introducing a Lagrange multiplier which enforces a nonmagnetic state at finite temperature. It is shown that this method gives results in excellent agreement with the density–matrix renormalization group applied to transf...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2009