Exact TBA expressions for impurity free energy and entropy in all four phases of the Heisenberg chain explain non-monotonic and negative impurity entropy via a split Hilbert space of excitation towers.
Our tower-summed TBA yields closed forms for Fimp(T ) and Simp(T ) with the correct T → 0, ∞ lim- its, in quantitative agreement with tensor network/ED benchmarks
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Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain
Exact TBA expressions for impurity free energy and entropy in all four phases of the Heisenberg chain explain non-monotonic and negative impurity entropy via a split Hilbert space of excitation towers.