2D and 3D magnetic behavior of Er inErBa2Cu3

Abstract

Neutron scattering has been used to study the magnetic order of the Er ions in superconducting ErBa2Cu307. Above the 3D Neel temperature (7"^^ =0.618 K) a rod of scattering characteristic of 2D behavior is unambiguously observed, showing that the magnetic interactions of the rare-earth ions are highly anisotropic; below TN the order parameter follows the exact Onsager solution for a 2D Ising antiferromagnet. At low T, two separate types of simple 3D antiferromagnetic structures are found, one characterized by a wave vector of (y ,0,0), and the other by (y ,0, y ).

Zigzag antiferromagnetic ground state with anisotropic correlation lengths in the quasi-two-dimensional honeycomb lattice compoundNa2Co2TeO6Bera1, Yusuf2, Kumar3 et al. 2017Phys. Rev. B10214873View full textAdd to dashboardCite

“…Similar broad diffuse magnetic peaks in neutron diffraction patterns were reported for several quasi-2D layered spin systems [50][51][52][53][54][55]. The short-range magnetic correlations were assigned to either 2D or 3D type depending on the profiles of the diffuse peaks.…”

“…The short-range magnetic correlations were assigned to either 2D or 3D type depending on the profiles of the diffuse peaks. In case of 2D correlations, the peak shape is an asymmetric saw-tooth type which can be defined by a Warren function [50][51][52][53]. On the other hand for 3D correlations, peaks are symmetric, and can be defined by a Lorentzian function [53,54].…”

Two- and three-dimensional magnetic correlations in the spin-12square-lattice systemZn2VOYusuf1, Bera2, Kini3 et al. 2010Phys. Rev. B236361View full textAdd to dashboardCite

“…[13][14][15] For Zn 2 VO(PO 4 ) 2 with layered structure, when the effective magnetic exchange coupling along the c axis is very weak compared to that in the ab plane, 2D magnetic correlations are expected above T N . A sharp symmetric magnetic Bragg peak or a Lorentzian-type broad peak profile should be expected for 3D long-range magnetic ordering or 3D short-range magnetic ordering, respectively.…”

Twenty Five Years After KLS: A Celebration of Non-equilibrium Statistical Mechanics

“…With the contributions of many, from Onsager [9,10] to Wilson and Fisher [11], it became part of well-established text-book material. Not only is it one of the most celebrated models within and beyond theoretical physics, it has been realized physically in several systems [12][13][14]. Fortunately, the KLS model enjoyed more respect in its first decade than the Ising model did in the 30's.…”