Conformal structure in the spectrum of an altered quantum Ising chain

@article{Henkel1987ConformalSI,
  title={Conformal structure in the spectrum of an altered quantum Ising chain},
  author={Malte Henkel and Andr{\'a}s Patk{\'o}s},
  journal={Journal of Physics A},
  year={1987},
  volume={20},
  pages={2199-2210}
}
The Ising model with an infinite line of defects is mapped onto a strip with two defect lines. The Hamiltonian spectrum is studied at the bulk critical point. Its exact diagonal form is found for an infinite number of sites. The spectrum of physical excitations contains an infinite number of primary fields, while the leading ground-state energy correction is independent of the defect strength. A novel algebraic structure interpolating between those belonging to periodic and free boundary… 
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References

SHOWING 1-10 OF 22 REFERENCES
Finite-size scaling of the quantum Ising chain with periodic, free, and antiperiodic boundary conditions
The authors give exact results for the energy spectrum of a chain of N Ising spins in a transverse field with periodic, free, and antiperiodic boundary conditions. The dependence of the energy gaps
Finite-size scaling and universality in the spectrum of the quantum ising chain. I. Periodic and antiperiodic boundary condition
The spectrum of the quantum Ising chain is studied in the finite-size scaling limit for periodic and antiperiodic boundary conditions. The finite-size corrections are computed for all energy gaps.
Conformal invariance and linear defects in the two-dimensional Ising model
Using conformal invariance, we show that the non-universal exponent eta_0 associated with the decay of correlations along a defect line of modified bonds in the square-lattice Ising model is related
Conformal invariance and non-universality in quantum spin chains with a defect
The authors study quantum analogues of two-dimensional Ising models with a linear defect. Conformal invariance and scaling arguments are used to relate the exponent eta * (of the time correlation
The Ashkin-teller Quantum Chain and Conformal Invariance
The authors study the finite-size effects for the fourth-state one-dimensional quantum chain introduced by Kohmoto et al. (1981) using different boundary conditions. From the corrections to the
Superconformal invariance in the Ashkin-Teller quantum chain with free boundary conditions
The finite-size limit of the lower part of the spectrum of the Ashkin-Teller chain with free boundary conditions is studied numerically and interpreted from the point of view of conformal invariance.
Conformal invariance, the central charge, and universal finite-size amplitudes at criticality.
We show that for conformally invariant two-dimensional systems, the amplitude of the finite-size corrections to the free energy of an infinitely long strip of width L at criticality is linearly
Determination of an Operator Algebra for the Two-Dimensional Ising Model
A previous publication showed how the critical indices for the two-dimensional Ising model could be derived from an assumed form of an operator algebra which describes how the product of two
Universal Term in the Free Energy at a Critical Point and the Conformal Anomaly
We show that the leading finite-size correction to lnZ for a two-dimensional system at a conformally invariant critical point on a strip of length L, width β (β L ), is (π/6) c ( L /β), where c is
...
...