Izmailian, N.Sh.
Priezzhev, V.B.
Hu, Chin-Kun
Ruelle, Philippe
[UCL]
(eng)
We study the finite-size corrections of the dimer model on∞×Nsquare lattice with two differentboundary conditions: free and periodic. We find that the finite-size corrections in a crucial waydepend on the parity ofN; we also show that such unusual finite-size behavior can be fully explainedin the framework of thec=−2 logarithmic conformal field theory
- Privman Valdimir, Fisher Michael E., Universal critical amplitudes in finite-size scaling, 10.1103/physrevb.30.322
- Finite-Size Scaling and Numerical Simulation of Statistical Systems (1990)
- Lee Koo-Chul, Monte Carlo technique for universal finite-size-scaling functions: Application to the 3-state Potts model on a square lattice, 10.1103/physrevlett.69.9
- Hu Chin-Kun, Lin Chai-Yu, Chen Jau-Ann, Universal Scaling Functions in Critical Phenomena, 10.1103/physrevlett.75.193
- Hu Chin-Kun, Lin Chai-Yu, Chen Jau-Ann, Universal Scaling Functions in Critical Phenomena, 10.1103/physrevlett.75.2786
- Hu Chin-Kun, Lin Chai-Yu, Universal Scaling Functions for Numbers of Percolating Clusters on Planar Lattices, 10.1103/physrevlett.77.8
- Izmailian N. Sh., Hu Chin-Kun, Exact Universal Amplitude Ratios for Two-Dimensional Ising Models and a Quantum Spin Chain, 10.1103/physrevlett.86.5160
- Izmailian N. Sh., Hu Chin-Kun, Exact amplitude ratio and finite-size corrections for theM×Nsquare lattice Ising model, 10.1103/physreve.65.036103
- Izmailian N. Sh., Oganesyan K. B., Hu Chin-Kun, Exact finite-size corrections for the square-lattice Ising model with Brascamp-Kunz boundary conditions, 10.1103/physreve.65.056132
- Wu Ming-Chya, Hu Chin-Kun, Izmailian N. Sh., Universal finite-size scaling functions with exact nonuniversal metric factors, 10.1103/physreve.67.065103
- Ivashkevich E V, Izmailian N Sh, Hu Chin-Kun, Kronecker$apos$s double series and exact asymptotic expansions for free models of statistical mechanics on torus, 10.1088/0305-4470/35/27/302
- Izmailian N. Sh., Oganesyan K. B., Hu Chin-Kun, Exact finite-size corrections of the free energy for the square lattice dimer model under different boundary conditions, 10.1103/physreve.67.066114
- Belavin A.A., Polyakov A.M., Zamolodchikov A.B., Infinite conformal symmetry in two-dimensional quantum field theory, 10.1016/0550-3213(84)90052-x
- Dotsenko Vl.S., Fateev V.A., Conformal algebra and multipoint correlation functions in 2D statistical models, 10.1016/0550-3213(84)90269-4
- Blöte H. W. J., Cardy John L., Nightingale M. P., Conformal invariance, the central charge, and universal finite-size amplitudes at criticality, 10.1103/physrevlett.56.742
- Affleck Ian, Universal term in the free energy at a critical point and the conformal anomaly, 10.1103/physrevlett.56.746
- Cardy John L., Effect of boundary conditions on the operator content of two-dimensional conformally invariant theories, 10.1016/0550-3213(86)90596-1
- Tzeng W.-J., Wu F. Y., 10.1023/a:1022155701655
- Chakravarty Sudip, Theory of thed-density wave from a vertex model and its implications, 10.1103/physrevb.66.224505
- Fan Chungpeng, Wu F. Y., General Lattice Model of Phase Transitions, 10.1103/physrevb.2.723
- Kasteleyn P.W., The statistics of dimers on a lattice, 10.1016/0031-8914(61)90063-5
- Kasteleyn P. W., Dimer Statistics and Phase Transitions, 10.1063/1.1703953
- Fisher Michael E., Statistical Mechanics of Dimers on a Plane Lattice, 10.1103/physrev.124.1664
- Temperley H. N. V., Fisher Michael E., Dimer problem in statistical mechanics-an exact result, 10.1080/14786436108243366
- R. J. Baxter, Exactly Solved Models in Statistical Mechanics (1982)
- Fisher Michael E., Stephenson John, Statistical Mechanics of Dimers on a Plane Lattice. II. Dimer Correlations and Monomers, 10.1103/physrev.132.1411
- Hartwig Robert E., Monomer Pair Correlations, 10.1063/1.1704931
- Wu F. Y., Remarks on the Modified Potassium Dihydrogen Phosphate Model of a Ferroelectric, 10.1103/physrev.168.539
- Itzykson C, Saleur H, Zuber J.-B, Conformal Invariance of Nonunitary 2d-Models, 10.1209/0295-5075/2/2/004
- H. N. V. Temperley, Combinatorics: Proceedings of the British Combinatorial Conference (1974)
- Majumdar S.N., Dhar Deepak, Equivalence between the Abelian sandpile model and the q→0 limit of the Potts model, 10.1016/0378-4371(92)90447-x
- Ruelle Philippe, A c=−2 boundary changing operator for the Abelian sandpile model, 10.1016/s0370-2693(02)02069-5
- Piroux Geoffroy, Ruelle Philippe, Pre-logarithmic and logarithmic fields in a sandpile model, 10.1088/1742-5468/2004/10/p10005
- Piroux Geoffroy, Ruelle Philippe, Logarithmic scaling for height variables in the Abelian sandpile model, 10.1016/j.physletb.2004.12.045
- Gaberdiel Matthias R., Kausch Horst G., A rational logarithmic conformal field theory, 10.1016/0370-2693(96)00949-5
- Gaberdiel Matthias R., Kausch Horst G., A local logarithmic conformal field theory, 10.1016/s0550-3213(98)00701-9
- Saleur H., Polymers and percolation in two dimensions and twisted N = 2 supersymmetry, 10.1016/0550-3213(92)90657-w
- Ferdinand Arthur E., Statistical Mechanics of Dimers on a Quadratic Lattice, 10.1063/1.1705162
Bibliographic reference |
Izmailian, N.Sh. ; Priezzhev, V.B. ; Hu, Chin-Kun ; Ruelle, Philippe. Logarithmic Conformal Field Theory and Boundary Effects in the Dimer Model. In: Physical Review Letters, Vol. 95, p. 260602 (2005) |
Permanent URL |
http://hdl.handle.net/2078/31023 |