175 citations · 296 across the 13 of their papers we have counts for
14 papers
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…
Walking on Archimedean Lattices: Insights from Bloch Band Theory
Davidson Noby Joseph, Igor Boettcher
Returning walks on a lattice are sequences of moves that start at a given lattice site and return to the same site after steps. Determining the total number of returning walks…
Dimensional crossover of superfluid He in a magnetic field
Leyla Saraj, Daksh Malhotra, Aymar Muhikira +3
Motivated by recent experiments on superfluid He in nanoscale-confined geometries, we theoretically investigate the associated phase diagram in a slab geometry and perpendicula…
Simulating Holographic Conformal Field Theories on Hyperbolic Lattices
Santanu Dey, Anffany Chen, Pablo Basteiro +10
We demonstrate how table-top settings combining hyperbolic lattices with nonlinear dynamics universally encode aspects of the bulk-boundary-correspondence between gravity in anti-d…
Anderson localization transition in disordered hyperbolic lattices
Anffany Chen, Joseph Maciejko, Igor Boettcher
We study Anderson localization in disordered tight-binding models on hyperbolic lattices. Such lattices are geometries intermediate between ordinary two-dimensional crystalline lat…
Surface State Dissipation in Confined 3He-A
Alexander J. Shook, Emil Varga, Igor Boettcher +1
We have studied the power dependence of superfluid Helmholtz resonators in flat (750 and 1800 nm) rectangular channels. In the A-phase of superfluid 3He, we observe a non-linear re…
Superfluid phase transition of nanoscale-confined helium-3
Canon Sun, Adil Attar, Igor Boettcher
We theoretically investigate the superfluid phase transition of helium-3 under nanoscale confinement of one spatial dimension realized in recent experiments. Instead of the 3x3 com…
Realizing efficient topological temporal pumping in electrical circuits
Alexander Stegmaier, Hauke Brand, Stefan Imhof +11
Quantized adiabatic transport can occur when a system is slowly modulated over time. In most realizations however, the efficiency of such transport is reduced by unwanted dissipati…
Symmetry and topology of hyperbolic Haldane models
Anffany Chen, Yifei Guan, Patrick M. Lenggenhager +3
Particles hopping on a two-dimensional hyperbolic lattice feature unconventional energy spectra and wave functions that provide a largely uncharted platform for topological phases…
Observation of the Berezinskii-Kosterlitz-Thouless Phase Transition in an Ultracold Fermi Gas
P. A. Murthy, I. Boettcher, L. Bayha +7
We experimentally investigate the first-order correlation function of a trapped Fermi gas in the two-dimensional BEC-BCS crossover. We observe a transition to a low-temperature sup…