21 citations · 50 across the 6 of their papers we have counts for
6 papers
Order-by-disorder and long-range interactions in the antiferromagnetic transverse-field Ising model on the triangular lattice -- A perturbative point of view
J. A. Koziol, M. Mühlhauser, K. P. Schmidt
We study the low-field ground-state (GS) properties of the antiferromagnetic transverse-field Ising model with long-range interactions (afLRTFIM) on the triangular lattice. We use…
Incorporating non-local anyonic statistics into a graph decomposition
M. Mühlhauser, V. Kott, K. P. Schmidt
In this work we describe how to systematically implement a full graph decomposition to set up a linked-cluster expansion for the topological phase of Kitaev's toric code in a field…
Linked Cluster Expansions via Hypergraph Decompositions
M. Mühlhauser, K. P. Schmidt
We propose a hypergraph expansion which facilitates the direct treatment of quantum spin models with many-site interactions via perturbative linked cluster expansions. The main ide…
Quantum phase transitions in the -layer Ising toric code
L. Schamriss, L. Lenke, M. Mühlhauser +1
We investigate the quantum phase diagram of the -layer Ising toric code corresponding to layers of two-dimensional toric codes coupled by Ising interactions. While for small…
High-order series expansion of non-Hermitian quantum spin models
L. Lenke, M. Mühlhauser, K. P. Schmidt
We investigate the low-energy physics of non-Hermitian quantum spin models with -symmetry. To this end we consider the one-dimensional Ising chain and the two-dimensional toric…
Competing topological orders in three dimensions: X-cube versus toric code
M. Mühlhauser, K. P. Schmidt, J. Vidal +1
We study the competition between two different topological orders in three dimensions by considering the X-cube model and the three-dimensional toric code. The corresponding Hamilt…