Abstract
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 the conformal anomaly. Equivalently, the leading low-temperature correction to the free energy of a one-dimensional quantum system is -(π/6)cL(kTħv, where v is the effective ‘‘velocity of light.’’ The latter formula is used to check recently derived critical theories of spin-s quantum chains against Bethe-Ansatz solutions.
- Received 6 December 1985
DOI:https://doi.org/10.1103/PhysRevLett.56.746
©1986 American Physical Society