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20112026
most citedFermionic Symmetry Protected Topological Phases and Cobordisms

356 citations · 2.7k across the 47 of their papers we have counts for

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quant-ph2026

A thermally and perturbatively stable classical spin model in two dimensions

Shankar Balasubramanian, Margarita Davydova, Ting-Chun Lin +1

We show that the 2D classical spin model constructed in arXiv:2605.10943 hosts many metastable states at non-zero temperature which are stable to arbitrary Hamiltonian perturbation…

cond-mat.str-el2026

Disentangling the Toric Code

Lei Gioia, Salvatore D. Pace, Ruben Verresen +2

Commuting-projector Hamiltonians with integer spectrum such as the 1+1d Ising ferromagnet and the 2+1d toric code may be regarded as the generators of non-on-site symmetries…

math-ph2026

Quantum cellular automata and invertible phases of matter

Corey Jones, Nikita Sopenko, Ryan Thorngren

We introduce and study (fermionic and bosonic) invertible quasi-local algebras over uniformly locally finite metric spaces with infinite-dimensional local von Neumann algebras.…

cond-mat.str-el2026

Correlation versus Causation in Quantum Criticality

Conrad Wichmann, Ryan Thorngren, Ruben Verresen

Correlation functions reveal scaling dimensions through spatial decay. We instead consider static susceptibility, the change in $\langle O_1(x) \ran…

quant-ph2026

Perturbatively Stable Self-Correcting Classical Memory from Gauge Averaging

Ryan Thorngren

We show that the self-correcting memory in 3d Wegner gauge theory is stable to arbitrary small enough perturbations of the Hamiltonian. Our proof relies on a new method we dub ``ga…

quant-ph2026

Translation symmetry-enforced long-range entanglement in mixed states

Ryan Thorngren, Lei Gioia, Carolyn Zhang

We show by a counting argument that even though translation symmetry admits symmetric short-range entangled (SRE) eigenstates, there are not enough such SRE eigenstates to span the…