activity
20112024
most citedEmergent Symmetry at the Néel to Valence-Bond-Solid Transition

189 citations · 700 across the 12 of their papers we have counts for

collaborators

12 papers

cond-mat.str-el2024

Worldsheet patching, 1-form symmetries, and "Landau-star" phase transitions

Pablo Serna, Andrés M. Somoza, Adam Nahum

The analysis of phase transitions of gauge theories has relied heavily on simplifications that arise at the boundaries of phase diagrams, where certain excitations are forbidden. T…

cond-mat.stat-mech2021

3D Unoriented loop models and the sigma model

Pablo Serna

We study a completely-packed loop model with crossings in a three-dimensional lattice and confirm it is described by sigma field theories. We use Monte Carlo si…

cond-mat.stat-mech2020★ 2 cited

Self-dual criticality in three-dimensional gauge theory with matter

Andrés M. Somoza, Pablo Serna, Adam Nahum

The simplest topologically ordered phase in 2+1D is the deconfined phase of gauge theory, realized for example in the toric code. This phase permits a duality that exchanges…

cond-mat.dis-nn2019★ 54 cited

From ergodic to non-ergodic chaos in Rosenzweig-Porter model

M. Pino, J. Tabanera, P. Serna

The Rosenzweig-Porter model is a one-parameter family of random matrices with three different phases: ergodic, extended non-ergodic and localized. We characterize numerically each…

cond-mat.str-el2018★ 64 cited

Emergence and spontaneous breaking of approximate O(4) symmetry at a weakly first-order deconfined phase transition

Pablo Serna, Adam Nahum

We investigate approximate emergent nonabelian symmetry in a class of weakly first order `deconfined' phase transitions using Monte Carlo simulations and a renormalization group an…

cond-mat.str-el2015★ 189 cited

Emergent Symmetry at the Néel to Valence-Bond-Solid Transition

Adam Nahum, P. Serna, J. T. Chalker +2

We show numerically that the `deconfined' quantum critical point between the Néel antiferromagnet and the columnar valence-bond-solid, for a square lattice of spin-1/2s, has an eme…

cond-mat.stat-mech2015★ 5 cited

Topological Constraints in Directed Polymer Melts

Pablo Serna, Guy Bunin, Adam Nahum

Polymers in a melt may be subject to topological constraints, as in the example of unlinked polymer rings. How to do statistical mechanics in the presence of such constraints remai…

cond-mat.str-el2015★ 178 cited

Deconfined Quantum Criticality, Scaling Violations, and Classical Loop Models

Adam Nahum, J. T. Chalker, P. Serna +2

Numerical studies of the Néel to valence-bond solid phase transition in 2D quantum antiferromagnets give strong evidence for the remarkable scenario of deconfined criticality, but…

cond-mat.stat-mech2013★ 32 cited

Length Distributions in Loop Soups

Adam Nahum, J. T. Chalker, P. Serna +2

Statistical lattice ensembles of loops in three or more dimensions typically have phases in which the longest loops fill a finite fraction of the system. In such phases it is natur…

cond-mat.stat-mech2013★ 52 cited

Phase transitions in 3D loop models and the model

Adam Nahum, J. T. Chalker, P. Serna +2

We consider the statistical mechanics of a class of models involving close-packed loops with fugacity on three-dimensional lattices. The models exhibit phases of two types as a…

cond-mat.stat-mech2013★ 53 cited

Loop models with crossings

Adam Nahum, P. Serna, A. M. Somoza +1

The universal behaviour of two-dimensional loop models can change dramatically when loops are allowed to cross. We study models with crossings both analytically and with extensive…

cond-mat.stat-mech2011★ 71 cited

3D loop models and the CP^{n-1} sigma model

Adam Nahum, J. T. Chalker, P. Serna +2

Many statistical mechanics problems can be framed in terms of random curves; we consider a class of three-dimensional loop models that are prototypes for such ensembles. The models…