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Unconventional Spin Dynamics and Supersolid Excitations in the Triangular-Lattice XXZ Model
Rafael Flores-Calder\'on, Roderich Moessner, Frank Pollmann
https://arxiv.org/abs/2506.15516

Unconventional Spin Dynamics and Supersolid Excitations in the Triangular-Lattice XXZ Model
Motivated by recent experiments, we investigate the spin-1/2 XXZ model on the triangular lattice with strong Ising anisotropy, combining large-scale numerical simulations and analytical methods to uncover unconventional spin dynamics. First, we compute the dynamical spin structure factor using density matrix renormalization group (DMRG) simulations and find excellent agreement with inelastic neutron scattering data on the layered compound $\text{K}_2\text{Co}(\text{SeO}_3)_2$. The low-energy sp…

This https://arxiv.org/abs/2407.01227 has been replaced.
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Non-intersecting paths and the determinant of the distance matrix of a tree
We present the first combinatorial proof of the Graham-Pollak Formula for the determinant of the distance matrix of a tree, via sign-reversing involutions and the Lindström-Gessel-Viennot Lemma. Our approach provides a cohesive and unified framework for the understanding of the existing generalizations and $q$-analogues of the Graham-Pollak Formula, and facilitates the derivation of a natural simultaneous generalizations for them.

Entanglement Holography in Quantum Phases via Twisted R\'enyi-N Correlators
Pablo Sala, Frank Pollmann, Masaki Oshikawa, Yizhi You
https://arxiv.org/abs/2506.10076

Entanglement Holography in Quantum Phases via Twisted Rényi-N Correlators
We introduce a holographic framework for the entanglement Hamiltonian in symmetry-protected topological (SPT) phases with area-law entanglement, whose reduced density matrix $ρ\propto e^{-H_e}$ can be treated as a lower-dimensional mixed state. By replicating $ρ$, we reconstruct the fixed-point SPT wavefunction, establishing an exact correspondence between the bulk strange correlator of the (d+1)-dimensional SPT state and the twisted Rényi-N operator of the d-dimensional reduced density matr…