Relevant work on MPS for excited states in MBL phase
Efficient Representation of Fully Many-Body Localized Systems Using Tensor Networks, Thorsten B. Wahl, Arijeet Pal, and Steven H. Simon, Phys. Rev. X 7, 021018 (2017).
Signatures of the many-body localized regime in two dimensions, Thorsten B. Wahl, Arijeet Pal and Steven H. Simon, Nature Physics, 15, 164(2019).
Encoding the structure of many-body localization with matrix product operators, David Pekker and Bryan K. Clark, Phys. Rev. B 95, 035116 (2017).
Finding Matrix Product State Representations of Highly Excited Eigenstates of Many-Body Localized Hamiltonians, Xiongjie Yu, David Pekker, and Bryan K. Clark, Phys. Rev. Lett. 118, 017201 (2017).
Obtaining Highly Excited Eigenstates of Many-Body Localized Hamiltonians by the Density Matrix Renormalization Group Approach, Vedika Khemani, Frank Pollmann, and S. L. Sondhi, Phys. Rev. Lett. 116, 247204 (2016).
Obtaining highly excited eigenstates of the localized XX chain via DMRG-X, Trithep Devakul, Vedika Khemani, Frank Pollmann, David Huse, Shivaji Sondhi, arXiv:1702.07721.
Density‐matrix renormalization group study of many‐body localization in floquet eigenstates,
Carolyn Zhang, Frank Pollmann, S. L. Sondhi, Roderich Moessner, adp 529, 7, 1600294 (2017).
One‐particle density matrix characterization of many‐body localization, Soumya Bera, Thomas Martynec, Henning Schomerus, Fabian Heidrich‐Meisner and Jens H. Bardarson, andp 529, 7, 1600356 (2017).
Construction of Many-Body-Localized Models where all the eigenstates are Matrix-Product-States,arXiv:1910.12500.
Time evolution of many-body localized systems in two spatial dimensions, arXiv:1910.11359. iPEPS, restore translational symmetry from disorder