### Abstract

The authors consider a semi-infinite two-dimensional Ising model with nearest-neighbour couplings that deviate from the bulk critical couplings by Al^{-2}, where l is the distance from the surface. The surface critical exponents of this system are non-universal. Under a conformal mapping onto a strip of width L, the Al^{-1} inhomogeneity transforms into A((L/ pi )sin( pi L/L))^{-1}. For the square lattice the spectrum of the transfer matrix in the strip geometry is calculated exactly in the extreme anisotropic limit. The analytical results and numerical results for the triangular lattice are compared with predictions of conformal invariance.

Original language | English |
---|---|

Article number | 009 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 23 |

Issue number | 12 |

DOIs | |

Publication status | Published - 1990 |

### Fingerprint

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics

### Cite this

**Semi-infinite two-dimensional Ising model with marginally inhomogeneous couplings and conformal invariance.** / Burhardt, T. W.; Iglói, F.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Semi-infinite two-dimensional Ising model with marginally inhomogeneous couplings and conformal invariance

AU - Burhardt, T. W.

AU - Iglói, F.

PY - 1990

Y1 - 1990

N2 - The authors consider a semi-infinite two-dimensional Ising model with nearest-neighbour couplings that deviate from the bulk critical couplings by Al-2, where l is the distance from the surface. The surface critical exponents of this system are non-universal. Under a conformal mapping onto a strip of width L, the Al-1 inhomogeneity transforms into A((L/ pi )sin( pi L/L))-1. For the square lattice the spectrum of the transfer matrix in the strip geometry is calculated exactly in the extreme anisotropic limit. The analytical results and numerical results for the triangular lattice are compared with predictions of conformal invariance.

AB - The authors consider a semi-infinite two-dimensional Ising model with nearest-neighbour couplings that deviate from the bulk critical couplings by Al-2, where l is the distance from the surface. The surface critical exponents of this system are non-universal. Under a conformal mapping onto a strip of width L, the Al-1 inhomogeneity transforms into A((L/ pi )sin( pi L/L))-1. For the square lattice the spectrum of the transfer matrix in the strip geometry is calculated exactly in the extreme anisotropic limit. The analytical results and numerical results for the triangular lattice are compared with predictions of conformal invariance.

UR - http://www.scopus.com/inward/record.url?scp=26344461543&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=26344461543&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/23/12/009

DO - 10.1088/0305-4470/23/12/009

M3 - Article

AN - SCOPUS:26344461543

VL - 23

JO - Journal Physics D: Applied Physics

JF - Journal Physics D: Applied Physics

SN - 0022-3727

IS - 12

M1 - 009

ER -