We consider the random dimer model in one space dimension with Bernoulli disorder. For sufficiently small disorder, we show that the entanglement entropy exhibits at least a logarithmically enhanced area law if the Fermi energy coincides with a critical energy of the model where the localisation length diverges.
Communications in Mathematical Physics
- Pub Date:
- August 2019
- Mathematical Physics;
- Mathematics - Spectral Theory;
- Quantum Physics;
- 29 pages, changes in v3: correction of an error in the appendix in Lemma A.2, typos corrected