175 citations · 296 across the 13 of their papers we have counts for
5 papers · 1 filter
Families of planar lattices with arbitrarily high for the ferromagnetic Ising model
Davidson Noby Joseph, Connor M. Walsh, Igor Boettcher
We construct families of periodic tessellations of the plane with arbitrarily high critical temperature, , for the classical nearest-neighbor ferromagnetic Ising model.…
Coherent-state ansatz for the Holstein polaron in one and two dimensions
Connor M. Walsh, Igor Boettcher, Frank Marsiglio
The Holstein model often serves as an archetype for electron-phonon interactions and polaron formation in solids. However, precise descriptions of the Holstein polaron are difficul…
Universality classes split by strong and weak symmetries
Jongjun M. Lee, Myung-Joong Hwang, Igor Boettcher
Dissipative phase transitions are strongly shaped by the symmetries of the Liouvillian, yet a clear understanding of the quantitative impact of weak and strong symmetries on critic…
Discrete holography and density of states in the crossover from hyperbolic to Euclidean lattices
Mireia Tolosa-Simeón, Igor Boettcher
We study tight-binding models in the crossover from hyperbolic to Euclidean lattices, realized through the successive insertion of Euclidean defects into hyperbolic lattices. We an…
Exact critical-temperature bounds for two-dimensional Ising models
Davidson Noby Joseph, Igor Boettcher
We derive exact critical-temperature bounds for the classical ferromagnetic Ising model on two-dimensional periodic tessellations of the plane. For any such tessellation or lattice…