Phase diagram of the triangular-lattice Potts antiferromagnet (Q5365163)

scientific article; zbMATH DE number 6786932

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English	Phase diagram of the triangular-lattice Potts antiferromagnet	scientific article; zbMATH DE number 6786932

Statements

instance of

scholarly article

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title

Phase diagram of the triangular-lattice Potts antiferromagnet (English)

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zbMATH Open document ID

1376.82018

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DOI

10.1088/1751-8121/aa778f

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author

Jesper Lykke Jacobsen

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Jesús Salas

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Christian R. Scullard

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published in

Journal of Physics A: Mathematical and Theoretical

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publication date

6 October 2017

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full work available at URL

https://arxiv.org/abs/1702.02006

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Mathematics Subject Classification ID

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Potts model

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critical soliton solid (RSOS) model

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conformal field theory

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transfer matrix

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critical polynomial

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describes a project that uses

ARPACK

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CLN

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MaRDI profile type

MaRDI publication profile

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Renormalization group theory: Its basis and formulation in statistical physics

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Critical phenomena and renormalization-group theory

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Q3324796

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The statistics of dimers on a lattice

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Integrability versus non-integrability: hard hexagons and hard squares compared

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Operator spectrum and exact exponents of the fully packed loop model

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Field theory of compact polymers on the square lattice

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Q5815557

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Chromatic polynomials of large triangular lattices

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The antiferromagnetic transition for the square-lattice Potts model

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<i>Q</i>-colourings of the triangular lattice: exact exponents and conformal field theory

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Conformal field theory

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Exact Potts model partition functions for strips of the square lattice

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Exact Potts model partition functions for strips of the triangular lattice

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Is the five-flow conjecture almost false?

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Critical manifold of the kagome-lattice Potts model

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Transfer matrix computation of critical polynomials for two-dimensional Potts models

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High-precision percolation thresholds and Potts-model critical manifolds from graph polynomials

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Critical points of Potts and O(<i>N</i>) models from eigenvalue identities in periodic Temperley–Lieb algebras

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Potts-model critical manifolds revisited

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Spanning forests and the $q$-state Potts model in the limit $q \to 0$

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Bulk, surface and corner free-energy series for the chromatic polynomial on the square and triangular lattices

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Corner free energies and boundary effects for Ising, Potts and fully packed loop models on the square and triangular lattices

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Conformal Field Theory Applied to Loop Models

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Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas

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Character decomposition of Potts model partition functions. I: Cyclic geometry

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Eigenvalue amplitudes of the Potts model on a torus

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Etiology of IRF models

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A staggered six-vertex model with non-compact continuum limit

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String theory and black holes

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Non compact conformal field theory and the $a_2^{(2)}$ (Izergin–Korepin) model in regime III

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A new look at the collapse of two-dimensional polymers

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Transfer matrices and partition-function zeros for antiferromagnetic Potts models. I: General theory and square-lattice chromatic polynomial.

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Transfer matrices and partition-function zeros for antiferromagnetic Potts models. II: Extended results for square-lattice chromatic polynomial.

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Transfer matrices and partition-function zeros for antiferromagnetic Potts models. IV. Chromatic polynomial with cyclic boundary conditions

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Phase diagram of the chromatic polynomial on a torus

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Transfer matrices and partition-function zeros for antiferromagnetic Potts models. V. Further results for the square-lattice chromatic polynomial

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Limits of zeroes of recursively defined polynomials

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Q3932822

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Limits of chromatic zeros of some families of maps

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Boundary chromatic polynomial

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Exact partition functions and correlation functions of multiple Hamiltonian walks on the Manhattan lattice.

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The arboreal gas and the supersphere sigma model

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Zeroes of chromatic polynomials: A new approach to Beraha conjecture using quantum groups

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Transfer matrices and partition-function zeros for antiferromagnetic Potts models. III: Triangular-lattice chromatic polynomial

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A generalized Beraha conjecture for non-planar graphs

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Partition algebras.

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Transfer matrix computation of generalized critical polynomials in percolation

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Transfer matrices and partition-function zeros for antiferromagnetic Potts models. VI. Square lattice with extra-vertex boundary conditions

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Chromatic Roots are Dense in the Whole Complex Plane

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ARPACK Users' Guide

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Complex-temperature phase diagram of Potts and RSOS models

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Relations between Potts and RSOS models on a torus

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Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem

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On the correspondence between boundary and bulk lattice models and (logarithmic) conformal field theories

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Three-state Potts antiferromagnet on the triangular lattice

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Critical exponents of domain walls in the two-dimensional Potts model

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$T=0$ partition functions for Potts antiferromagnets on lattice strips with fully periodic boundary conditions

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Ground state entropy of the Potts antiferromagnet on triangular lattice strips.

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Sitelinks

Mathematics(1 entry)

mardi Publication:5365163