2000/02/29 by Florent Krząkała, F. Krzakala, Olivier Martin +1 · 4 citations
Computer Science · Physics and Astronomy · #Condensed matter physics #Excited state #Ground state #Lattice (music) #Photonic Crystals and Applications #Physics #Quantum mechanics #Spin (aerodynamics) #Spin glass #Theoretical and Computational Physics #Topological and Geometric Data Analysis #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.85.3013
published as Phys. Rev. Lett. 85, 3013 (2000) · Extra fits comparing TNT to mean field, summarized in a table
arxiv created 2000/09/05 · openalex publication_date 2000/10/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Excitations of three-dimensional spin glasses are computed numerically. We find that one can flip a finite fraction of an LxLxL lattice with an O(1) energy cost, confirming the mean-field picture of a nontrivial spin overlap distribution P(q). These low energy excitations are not domain-wall-like, rather they are topologically nontrivial and they reach out to the boundaries of the lattice. Their surface to volume ratios decrease as L increases and may asymptotically go to zero. If so, link and window overlaps between the ground state and these excited states become "trivial."