• Corpus ID: 237431188

Melting of three-sublattice order in triangular lattice Ising antiferromagnets: Power-law order, $Z_6$ parafermionic multicriticality, and weakly first order transitions

  title={Melting of three-sublattice order in triangular lattice Ising antiferromagnets: Power-law order, \$Z\_6\$ parafermionic multicriticality, and weakly first order transitions},
  author={Geet Rakala and Nisheeta Desai and Saumya Shivam and Kedar Damle},
The nature of the thermal melting process by which triangular-lattice Ising antiferromagnets lose their low-temperature ferrimagnetic three-sublattice order depends on the range of the interactions: It changes character when second and third neighbour ferromagnetic interactions become comparable to the nearest-neighbour antiferromagnetic coupling. We present a detailed numerical characterization of the corresponding threshold at which two-step melting of three-sublattice order gives way to a… 

Figures from this paper


Melting of Three-Sublattice Order in Easy-Axis Antiferromagnets on Triangular and Kagome Lattices.
  • K. Damle
  • Physics, Medicine
    Physical review letters
  • 2015
It is predicted that the uniform susceptibility to a small easy-axis field B diverges as χ(B)∼|B|^{-[( 4-18η)/(4-9η)]} in a large part of the intermediate power-law ordered phase, providing an easy-to-measure thermodynamic signature of two-step melting.
Magnetic charge and ordering in kagome spin ice
  • G. Chern, O. Tchernyshyov
  • Physics, Medicine
    Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2012
A numerical study of magnetic ordering in spin ice on kagome, a two-dimensional lattice of corner-sharing triangles, finds that the high- and low-temperature phase transitions are of the Ising and 3-state Potts universality classes, respectively.
Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model
The classical planar Heisenberg model is studied at low temperatures by means of renormalization theory and a series of exact transformations. A numerical study of the Migdal recursion relation
Cluster Luttinger liquids and emergent supersymmetric conformal critical points in the one-dimensional soft-shoulder Hubbard model
We investigate the quantum phases of hard-core bosonic atoms in an extended Hubbard model where particles interact via soft-shoulder potentials in one dimension. Using a combination of
The critical behaviour of self-dual Z(N) spin systems: finite-size scaling and conformal invariance
This paper is concerned with the critical properties of a family of self-dual two-dimensional Z(N) models whose bulk free energy is exactly known at the self-dual point. The author's analysis is
Supersymmetric multicritical point in a model of lattice fermions
We study a model of spinless fermions with infinite nearest-neighbor repulsion on the square ladder, which has microscopic supersymmetry. It has been conjectured that in the continuum, the model is
Parafermionic conformal field theory on the lattice
Finding the precise correspondence between lattice operators and the continuum fields that describe their long-distance properties is a largely open problem for strongly interacting critical points.
Free parafermions
The spectrum of the quantum Ising chain can be found by expressing the spins in terms of free fermions. An analogous transformation exists for clock chains with Zn symmetry, but is of less use
General discrete planar models in two dimensions: Duality properties and phase diagrams
The most general spin model with nearest-neighbour interactions invariant under a global Zp symmetry in two dimensions is considered. Dual transformations are discussed, and the subset of self-dual
Fate of the one-dimensional Ising quantum critical point coupled to a gapless boson
The problem of a quantum Ising degree of freedom coupled to a gapless bosonic mode appears naturally in many one-dimensional systems, yet surprisingly little is known how such a coupling affects the