Surface free energy for systems with integrable boundary conditions
arXiv:cond-mat/0508377 · doi:10.1088/0305-4470/38/50/001
Abstract
The surface free energy is the difference between the free energies for a system with open boundary conditions and the same system with periodic boundary conditions. We use the quantum transfer matrix formalism to express the surface free energy in the thermodynamic limit of systems with integrable boundary conditions as a matrix element of certain projection operators. Specializing to the XXZ spin 1/2 chain we introduce a novel `finite temperature boundary operator' which characterizes the thermodynamical properties of surfaces related to integrable boundary conditions.
17 pages
References in corpus (6)
- Integral representations for correlation functions of the XXZ chain at finite temperature
- Integral representation of the density matrix of the XXZ chain at finite temperatures
- Boundary susceptibility in the spin-1/2 chain: Curie like behavior without magnetic impurities
- Boundary contributions to specific heat and susceptibility in the spin-1/2 XXZ chain
- O(1) contribution of saddle point fluctuations to the free energy of Bethe Ansatz systems
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Cited by in corpus (13)
- Correlation functions of the open XXZ chain I
- Correlation functions of the open XXZ chain II
- Surface free energy of the open XXZ spin-1/2 chain
- Overlaps with arbitrary two-site states in the XXZ spin chain
- The open XXZ-chain: Bosonisation, Bethe ansatz and logarithmic corrections
- Delta-Bose gas on a half-line and the KPZ equation: boundary bound states and unbinding transitions
- Reflection algebra and functional equations
- Exact boundary free energy of the open XXZ chain with arbitrary boundary conditions
- Thermodynamic limit of the six-vertex model with reflecting end
- Quantum versus classical behavior in the boundary susceptibility of the ferromagnetic Heisenberg chain
- Anderson-like impurity in the one-dimensional t-J model: formation of local states and magnetic behaviour
- The one-dimensional Hubbard model with open ends: Universal divergent contributions to the magnetic susceptibility
- Boundary logarithmic corrections to the dynamical correlation functions of one-dimensional spin-1/2 chains