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We study the ground state properties of the Heisenberg spin-1/2 chain with ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor interactions using two approximate methods. One of them is the Jordan-Wigner mean-field…

Strongly Correlated Electrons · Physics 2009-11-11 D. V. Dmitriev , V. Ya. Krivnov

Correlation functions of the XXZ spin chain in the critical regime is studied at zero-temperature. They are exactly represented in the Fredholm determinant form and are related with an operator-valued Riemann-Hilbert problem. Analyzing this…

Condensed Matter · Physics 2009-10-31 Yasuhiro Fujii , Miki Wadati

We study subleading corrections to the corner free energy in classical two-dimensional critical systems, focusing on a generic boundary perturbation by the stress-tensor of the underlying conformal field theory (CFT). In the particular case…

Statistical Mechanics · Physics 2013-12-17 Jean-Marie Stéphan , Jérôme Dubail

We investigate a spin-1/2 antiferromagnetic chain with trimerized exchange couplings relevant to Na$_2$Cu$_3$Ge$_4$O$_{12}$. We show that the low-energy Hilbert space maps onto an effective Heisenberg chain of composite spin-1/2 trimer…

Strongly Correlated Electrons · Physics 2026-05-26 Snehasish Sen , Sudhansu S. Mandal

We study the low-energy properties of a sawtooth chain with spin-1's at the bases of the triangles and spin-1/2's at the vertices of the triangles. The spins have Heisenberg antiferromagnetic interactions between nearest neighbors, with a…

Strongly Correlated Electrons · Physics 2009-11-10 V. Ravi Chandra , Diptiman Sen , N. B. Ivanov , J. Richter

In the neighbourhood of the critical point, the correlation length of the spin-spin correlation function of the two-dimensional Ising model diverges. The correlation function permits a scaling limit in which the separation $N$ between spins…

Mathematical Physics · Physics 2019-05-22 P. J. Forrester , J. H. H. Perk , A. K. Trinh , N. S. Witte

Dynamic autocorrelations $<S_i^{\alpha}(t) S_i^{\alpha}>$ (\alpha=x,z) of an isolated impurity spin in a S=1/2 XX chain are calculated. The impurity spin, defined by a local change in the nearest-neighbor coupling, is either in the bulk or…

Statistical Mechanics · Physics 2009-10-31 Joachim Stolze , Michael Vogel

In this paper, we address the logarithmic corrections to the leading power laws that govern thermodynamic quantities as a second-order phase transition point is approached. For phase transitions of spin systems on d-dimensional lattices,…

Statistical Mechanics · Physics 2015-07-02 V. Palchykov , C. von Ferber , R. Folk , Yu. Holovatch , R. Kenna

Using algebraic Bethe ansatz and the solution of the quantum inverse scattering problem, we compute compact representations of the spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field. At lattice distance m,…

High Energy Physics - Theory · Physics 2011-07-19 N. Kitanine , J. M. Maillet , N. A. Slavnov , V. Terras

The spin-1/2 chain with isotropic Heisenberg exchange $J_1$, $J_2 > 0$ between first and second neighbors is frustrated for either sign of J1. Its quantum phase diagram has critical points at fixed $J_1/J_2$ between gapless phases with…

Strongly Correlated Electrons · Physics 2015-07-15 Manoranjan Kumar , Aslam Parvej , Zoltán G. Soos

High accuracy Monte Carlo simulation results for 1024*1024 Ising system with ferromagnetic impurity bonds are presented. Spin-spin correlation function at a critical point is found to be numerically very close to that of a pure system. This…

High Energy Physics - Lattice · Physics 2009-10-22 Andrei L. Talapov , Lev N. Shchur

We use the coupled cluster method for infinite chains complemented by exact diagonalization of finite periodic chains to discuss the influence of a third-neighbor exchange J3 on the ground state of the spin-1/2 Heisenberg chain with…

Strongly Correlated Electrons · Physics 2011-09-15 R. Zinke , J. Richter , S. -L. Drechsler

We report a neutron scattering study of the spin correlations for the spin 5/2, two-dimensional antiferromagnet Rb_2MnF_4 in an external magnetic field. Choosing fields near the system's bicritical point, we tune the effective anisotropy in…

Strongly Correlated Electrons · Physics 2009-10-31 R. L. Leheny , R. J. Christianson , R. J. Birgeneau , R. W. Erwin

We study antiferromagnetic spin--1/2 Heisenberg ladders, comprised of $n_c$ chains ($2 \leq n_c \leq 6$) with ratio $J_{\bot}/J_{\|}$ of inter-- to intra--chain couplings. From measurements of the correlation function we deduce the…

Condensed Matter · Physics 2009-10-28 M. Greven , R. J. Birgeneau , U. -J. Wiese

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 present the results of the computation of the third order corrections to the ground state energy of the diluted polarized gas of nonrelativistic spin $1/2$ fermions interacting through a spin-independent repulsive two-body potential. The…

Quantum Gases · Physics 2023-12-06 Piotr H. Chankowski , Jacek Wojtkiewicz , Rashad Bakhshizada

The power of machine learning algorithms to automatically classify different phases of matter and detect quantum phase transitions without necessity to characterize phases by various quantities like local order parameters or topological…

Strongly Correlated Electrons · Physics 2021-03-15 Tanja Duric

High accuracy Monte Carlo simulation results for 1024*1024 Ising system with ferromagnetic impurity bonds are presented. Spin-spin correlation function at a critical point is found to be numerically very close to that of a pure system. This…

Condensed Matter · Physics 2007-05-23 Andrei Talapov , Vladimir Dotsenko

Logarithmic spin-1/3 superconformal field theories are investigated. the chiral and full two-point functions of two-(or more-) dimensional Jordanian blocks of arbitrary weights, are obtained.

High Energy Physics - Theory · Physics 2009-01-07 Fardin Kheirandish , Mohammad Khorrami

We derive explicit spin and charge correlation functions of the $N \times N$ Hubbard model from a recently obtained weak-coupling analytic ground state $|\Q^{[0]}_{AF}\ket$. The spin correlation function shows an antiferromagnetic behaviour…

Strongly Correlated Electrons · Physics 2009-11-07 Gianluca Stefanucci , Michele Cini