315 citations · 3.1k across the 59 of their papers we have counts for
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Exact solution of corner-modified banded block-Toeplitz eigensystems
Emilio Cobanera, Abhijeet Alase, Gerardo Ortiz +1
Motivated by the challenge of seeking a rigorous foundation for the bulk-boundary correspondence for free fermions, we introduce an algorithm for determining exactly the spectrum a…
Staircase of crystal phases of hard-core bosons on the Kagome lattice
Daniel Huerga, Sylvain Capponi, Jorge Dukelsky +1
We study the quantum phase diagram of a system of hard-core bosons on the Kagome lattice with nearest-neighbor repulsive interactions, for arbitrary densities, by means of the hier…
Unveiling causal activity of complex networks
Rashid V. Williams-Garcia, John M. Beggs, Gerardo Ortiz
We introduce a novel tool for analyzing complex network dynamics, allowing for cascades of causally-related events, which we call causal webs (c-webs), to be separated from other n…
Exact Solution of Quadratic Fermionic Hamiltonians for Arbitrary Boundary Conditions
Abhijeet Alase, Emilio Cobanera, Gerardo Ortiz +1
We present a procedure for exactly diagonalizing finite-range quadratic fermionic Hamiltonians with arbitrary boundary conditions in one of D dimensions, and periodic in the remain…