Paul Pearce

Yang-Baxter integrable dimers on a strip

Paul A Pearce, Jorgen Rasmussen, Alessandra Vittorini-Orgeas

Journal article  |  2020  |  JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

The dimer model on a strip is considered as a Yang-Baxter integrable six vertex model at the free-fermion point with crossing para..

Yang-Baxter solution of dimers as a free-fermion six-vertex model

Paul A Pearce, Alessandra Vittorini-Orgeas

Journal article  |  2017  |  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

It is shown that Dimers is Yang-Baxter integrable as a six-vertex model at thefree-fermion point with crossing parameter λ = π/2 ...

Conformal partition functions of critical percolation from D-3 thermodynamic Bethe Ansatz equations

Alexi Morin-Duchesne, Andreas Kluemper, Paul A Pearce

Journal article  |  2017  |  JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Using the planar Temperley-Lieb algebra, critical bond percolation on the square lattice can be reformulated as a loop model. In t..

Hard hexagons, hard squares and hard mathematics

Paul A Pearce

Journal article  |  2016  |  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Logarithmic minimal models with Robin boundary conditions

Jean-Emile Bourgine, Paul A Pearce, Elena Tartaglia

Journal article  |  2016  |  JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

We consider general logarithmic minimal models LM(p,p'), with p, p' coprime, on a strip of N columns with the (r, s) Robin boundar..

Fused RSOS lattice models as higher-level nonunitary minimal cosets

Elena Tartaglia, Paul A Pearce

Journal article  |  2016  |  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

We consider the Forrester-Baxter RSOS lattice models with crossing parameter λ = (m'-m)π/m' in Regime III. In the continuum scalin..

Finite-volume spectra of the Lee-Yang model

Zoltan Bajnok, Omar el Deeb, Paul A Pearce

Journal article  |  2015  |  JOURNAL OF HIGH ENERGY PHYSICS

Abstract: We consider the non-unitary Lee-Yang minimal model ℳ2,5$$ \mathrm{\mathcal{M}}\left(2,\;5\right) $$ in t..

RSOS quantum chains associated with off-critical minimal models and Z(n) parafermions

Davide Bianchini, Elisa Ercolessi, Paul A Pearce, Francesco Ravanini

Journal article  |  2015  |  JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

We consider the φ1,3 off-critical perturbation M(m,m′ ; t) of the general non-unitary minimal models where 2 ≤ m ≤ m′ and m, m′ ar..

Kac boundary conditions of the logarithmic minimal models

Paul A Pearce, Elena Tartaglia, Romain Couvreur

Journal article  |  2015  |  JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

We develop further the implementation and analysis of Kac boundary conditions in the general logarithmic minimal models LM(p, p′) ..

Critical dense polymers with Robin boundary conditions, half-integer Kac labels and Z(4) fermions

Paul A Pearce, Jorgen Rasmussen, Ilya Yu Tipunin

Journal article  |  2014  |  NUCLEAR PHYSICS B

For general Temperley-Lieb loop models, including the logarithmic minimal models LM(p,p') with p, p' coprime integers, we construc..