36 citations · 116 across the 11 of their papers we have counts for
8 papers · 1 filter
Critical Behavior and Collective Modes at the Superfluid Transition in Amorphous Systems
Vishnu Pulloor Kuttanikkad, Martin Puschmann, Rajesh Narayanan +1
We investigate the critical behavior and the dynamics of the amplitude (Higgs) mode close to the superfluid-insulator quantum phase transition in an amorphous system (i.e., a syste…
Quartic multifractality and finite-size corrections at the spin quantum Hall transition
Martin Puschmann, Daniel Hernangómez-Pérez, Bruno Lang +2
The spin quantum Hall (or class C) transition represents one of the few localization-delocalization transitions for which some of the critical exponents are known exactly. Not know…
Green's functions on a renormalized lattice: An improved method for the integer quantum Hall transition
Martin Puschmann, Thomas Vojta
We introduce a performance-optimized method to simulate localization problems on bipartite tight-binding lattices. It combines an exact renormalization group step to reduce the spa…
Edge state critical behavior of the integer quantum Hall transition
Martin Puschmann, Philipp Cain, Michael Schreiber +1
The integer quantum Hall effect features a paradigmatic quantum phase transition. Despite decades of work, experimental, numerical, and analytical studies have yet to agree on a un…
Collective modes at a disordered quantum phase transition
Martin Puschmann, Jack Crewse, Jose A. Hoyos +1
We study the collective excitations, i.e., the Goldstone (phase) mode and the Higgs (amplitude) mode, near the superfluid--Mott glass quantum phase transition in a two-dimensional…
Integer quantum Hall transition on a tight-binding lattice
Martin Puschmann, Philipp Cain, Michael Schreiber +1
Even though the integer quantum Hall transition has been investigated for nearly four decades its critical behavior remains a puzzle. The best theoretical and experimental results…
Multifractal analysis of electronic states on random Voronoi-Delaunay lattices
Martin Puschmann, Philipp Cain, Michael Schreiber +1
We consider the transport of non-interacting electrons on two- and three-dimensional random Voronoi-Delaunay lattices. It was recently shown that these topologically disordered lat…
Analysis of localization-delocalization transitions in corner-sharing tetrahedral lattices
Martin Puschmann, Philipp Cain, Michael Schreiber
We study the critical behavior of the Anderson localization-delocalization transition in corner-sharing tetrahedral lattices. We compare our results obtained by three different num…