Physical Review Letters, ISSN 0031-9007, 07/2017, Volume 119, Issue 4

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Physics

Physics

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 10/2016, Volume 911, Issue C, pp. 52 - 93

Building on our previous work for and we explore systematically the continuum limit of gapless vertex models and spin chains. We find the existence of three...

[PHYS]Physics [physics] | Quantum Gases | High Energy Physics | Mathematical Physics | Nuclear and High Energy Physics | [ PHYS ] Physics [physics] | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | Condensed Matter | High Energy Physics - Theory | Lattice

[PHYS]Physics [physics] | Quantum Gases | High Energy Physics | Mathematical Physics | Nuclear and High Energy Physics | [ PHYS ] Physics [physics] | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | Condensed Matter | High Energy Physics - Theory | Lattice

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 10/2016, Volume 911, pp. 52 - 93

Building on our previous work for a.sub.2.sup.(2) and a.sub.3.sup.(2) we explore systematically the continuum limit of gapless a.sub.N-1.sup.(2) vertex models...

Physics

Physics

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 10/2016, Volume 911, p. 52

To access, purchase, authenticate, or subscribe to the full-text of this article, please visit this link: http://dx.doi.org/10.1016/j.nuclphysb.2016.07.026...

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 2014, Volume 47, Issue 28

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 04/2014, Volume 47, Issue 13, pp. 135001 - 78

The critical curves of the q-state Potts model can be determined exactly for regular two-dimensional lattices G that are of the three-terminal type. This...

graph polynomial | percolation threshold | critical manifold | PARTITION-FUNCTION ZEROS | SITE PERCOLATION | PHYSICS, MULTIDISCIPLINARY | ANTIFERROMAGNETIC TRANSITION | PHYSICS, MATHEMATICAL | CRITICAL EXPONENTS | CRITICAL-POINT | ARCHIMEDEAN LATTICES | TRIANGULAR-LATTICE | TEMPERATURE | TRANSFER-MATRICES | 2 DIMENSIONS | Algebra | Thresholds | Lattices | Percolation | Graphs | Mathematical models | Polynomials | Two dimensional

graph polynomial | percolation threshold | critical manifold | PARTITION-FUNCTION ZEROS | SITE PERCOLATION | PHYSICS, MULTIDISCIPLINARY | ANTIFERROMAGNETIC TRANSITION | PHYSICS, MATHEMATICAL | CRITICAL EXPONENTS | CRITICAL-POINT | ARCHIMEDEAN LATTICES | TRIANGULAR-LATTICE | TEMPERATURE | TRANSFER-MATRICES | 2 DIMENSIONS | Algebra | Thresholds | Lattices | Percolation | Graphs | Mathematical models | Polynomials | Two dimensional

Journal Article

Physical Review Letters, ISSN 0031-9007, 03/2014, Volume 112, Issue 10

We consider the entanglement between two one-dimensional quantum wires (Luttinger liquids) coupled by tunneling through a quantum impurity. The physics of the...

Quantum wires | Impurities | Mathematical analysis | Joining | Mathematical models | Entanglement | Formalism | Crossovers

Quantum wires | Impurities | Mathematical analysis | Joining | Mathematical models | Entanglement | Formalism | Crossovers

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 10/2015, Volume 48, Issue 45, pp. 454003 - 30

In previous work with Scullard, we have defined a graph polynomial P-B(q, T) that gives access to the critical temperature T-c of the q-state Potts model...

percolation threshold | discrete holomorphicity | critical manifold | COULOMB GAS | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY | SQUARE LATTICE | PERCOLATION | PHYSICS, MATHEMATICAL | CONFORMAL-INVARIANCE | LOOP MODELS | CRITICAL-BEHAVIOR | AMPLITUDES | CHARGE | 2 DIMENSIONS | Dilution | Algebra | Phases | Mathematical analysis | Eigenvalues | Mathematical models | Polynomials | Convergence

percolation threshold | discrete holomorphicity | critical manifold | COULOMB GAS | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY | SQUARE LATTICE | PERCOLATION | PHYSICS, MATHEMATICAL | CONFORMAL-INVARIANCE | LOOP MODELS | CRITICAL-BEHAVIOR | AMPLITUDES | CHARGE | 2 DIMENSIONS | Dilution | Algebra | Phases | Mathematical analysis | Eigenvalues | Mathematical models | Polynomials | Convergence

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 06/2019, Volume 52, Issue 25, p. 255302

J. Phys. A: Math. Theor. 52, 255302 (2019) We obtain the ground state magnetization of the Heisenberg and XXZ spin chains in a magnetic field $h$ as a series...

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 1/2019, Volume 2019, Issue 1, pp. 1 - 87

We revisit in this paper the problem of connectivity correlations in the Fortuin-Kasteleyn cluster representation of the two-dimensional Q-state Potts model...

Lattice Integrable Models | Conformal Field Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | POLYMERS | MATRIX | FIELD-THEORY | PERCOLATION | OPERATOR CONTENT | CONFORMAL-INVARIANCE | SYMMETRY | CRITICAL-BEHAVIOR | PARTITION-FUNCTION | 2 DIMENSIONS | PHYSICS, PARTICLES & FIELDS | Correlation analysis | Two dimensional models | Mathematical models | Spectra | Field theory | Weight | Cylinders

Lattice Integrable Models | Conformal Field Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | POLYMERS | MATRIX | FIELD-THEORY | PERCOLATION | OPERATOR CONTENT | CONFORMAL-INVARIANCE | SYMMETRY | CRITICAL-BEHAVIOR | PARTITION-FUNCTION | 2 DIMENSIONS | PHYSICS, PARTICLES & FIELDS | Correlation analysis | Two dimensional models | Mathematical models | Spectra | Field theory | Weight | Cylinders

Journal Article

Nuclear Physics B, ISSN 0550-3213, 10/2016, Volume 911, pp. 52 - 93

Journal Article

Physical Review Letters, ISSN 0031-9007, 03/2016, Volume 116, Issue 13

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 03/2019, Volume 2019, Issue 3, pp. 1 - 47

We develop an efficient method to compute the torus partition function of the six-vertex model exactly for finite lattice size. The method is based on the...

Lattice Integrable Models | Differential and Algebraic Geometry | Bethe Ansatz | FUNCTION ZEROS | TRANSFER-MATRICES | ANTIFERROMAGNETIC POTTS MODELS | PHYSICS, PARTICLES & FIELDS | Thermodynamics | Analysis | Models | Toruses | Partitions | Solution space | Algebra | Numerical methods | Partitions (mathematics) | Mathematical models | Computing time

Lattice Integrable Models | Differential and Algebraic Geometry | Bethe Ansatz | FUNCTION ZEROS | TRANSFER-MATRICES | ANTIFERROMAGNETIC POTTS MODELS | PHYSICS, PARTICLES & FIELDS | Thermodynamics | Analysis | Models | Toruses | Partitions | Solution space | Algebra | Numerical methods | Partitions (mathematics) | Mathematical models | Computing time

Journal Article

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, ISSN 1751-8113, 08/2019, Volume 52, Issue 34, p. 345001

Two-dimensional sigma models on superspheres Sr-1 vertical bar 2s congruent to OSp(r vertical bar 2s)/OSp(r - 1 vertical bar 2s) are known to flow to weak...

POLYMERS | EXPONENTS | SPIN | PHYSICS, MULTIDISCIPLINARY | sigma models | PHYSICS, MATHEMATICAL | FINITE-SIZE CORRECTIONS | CRITICAL-POINT | loop models | DIMENSIONS | Bethe Ansatz | CRITICAL-BEHAVIOR | SPECTRUM | CHAINS | LATTICE APPROACH | super spin chains

POLYMERS | EXPONENTS | SPIN | PHYSICS, MULTIDISCIPLINARY | sigma models | PHYSICS, MATHEMATICAL | FINITE-SIZE CORRECTIONS | CRITICAL-POINT | loop models | DIMENSIONS | Bethe Ansatz | CRITICAL-BEHAVIOR | SPECTRUM | CHAINS | LATTICE APPROACH | super spin chains

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 08/2010, Volume 43, Issue 31, pp. 315002 - 315002

We present an efficient algorithm for computing the partition function of the q-colouring problem (chromatic polynomial) on regular two-dimensional lattice...

Strip | Mathematical analysis | Lattices | Exact solutions | Mathematical models | Corners | Sparse matrices | Free energy

Strip | Mathematical analysis | Lattices | Exact solutions | Mathematical models | Corners | Sparse matrices | Free energy

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 10/2017, Volume 50, Issue 47, p. 474001

We investigate the operator content of the Q-state Potts model in arbitrary dimension, using the representation theory of the symmetric group. In particular we...

operators in the Potts model | geometrical observables Potts model | non-scalar operators | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Physics - Statistical Mechanics

operators in the Potts model | geometrical observables Potts model | non-scalar operators | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Physics - Statistical Mechanics

Journal Article

Physical Review Letters, ISSN 0031-9007, 07/2017, Volume 119, Issue 4, p. 040601

Entanglement entropy has proven invaluable to our understanding of quantum criticality. It is natural to try to extend the concept to "nonunitary quantum...

SYSTEMS | COULOMB-GAS | CONFORMAL-INVARIANCE | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY | 2-DIMENSIONAL CRITICAL MODELS

SYSTEMS | COULOMB-GAS | CONFORMAL-INVARIANCE | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY | 2-DIMENSIONAL CRITICAL MODELS

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 04/2019, Volume 941, pp. 507 - 559

The supersymmetric reformulation of physical observables in the Chalker-Coddington model (CC) for the plateau transition in the integer quantum Hall effect...

FIELD-THEORY | SELF-AVOIDING WALKS | QUANTUM | CONTINUUM-LIMIT | EQUATIONS | TRANSITIONS | SPECTRUM | R-MATRICES | PHYSICS, PARTICLES & FIELDS

FIELD-THEORY | SELF-AVOIDING WALKS | QUANTUM | CONTINUUM-LIMIT | EQUATIONS | TRANSITIONS | SPECTRUM | R-MATRICES | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 09/2010, Volume 43, Issue 38, pp. 385001 - 385001

Combining tree decomposition and transfer matrix techniques provides a very general algorithm for computing exact partition functions of statistical models...

Partitions | Algorithms | Statistical analysis | Computation | Mathematical analysis | Running | Graphs | Mathematical models

Partitions | Algorithms | Statistical analysis | Computation | Mathematical analysis | Running | Graphs | Mathematical models

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 09/2018, Volume 934, pp. 96 - 117

We present a new and efficient method for deriving finite-size effects in statistical physics models solvable by Bethe Ansatz. It is based on the study of the...

CONFORMAL SPECTRUM | 6-VERTEX MODEL | CHAINS | PHYSICS, PARTICLES & FIELDS | [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] | Mathematical Physics | [ PHYS ] Physics [physics] | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | Strongly Correlated Electrons | Condensed Matter | Nonlinear Sciences | Exactly Solvable and Integrable Systems | Nonlinear Sciences - Exactly Solvable and Integrable Systems

CONFORMAL SPECTRUM | 6-VERTEX MODEL | CHAINS | PHYSICS, PARTICLES & FIELDS | [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] | Mathematical Physics | [ PHYS ] Physics [physics] | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | Strongly Correlated Electrons | Condensed Matter | Nonlinear Sciences | Exactly Solvable and Integrable Systems | Nonlinear Sciences - Exactly Solvable and Integrable Systems

Journal Article

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