87 citations · 361 across the 20 of their papers we have counts for
20 papers
Stability of topological superconducting qubits with number conservation
Matthew F. Lapa, Michael Levin
The study of topological superconductivity is largely based on the analysis of simple mean-field models that do not conserve particle number. A major open question in the field is…
Stability of ground state degeneracy to long-range interactions
Matthew F. Lapa, Michael Levin
We show that some gapped quantum many-body systems have a ground state degeneracy that is stable to long-range (e.g., power-law) perturbations, in the sense that any ground state e…
Momentum occupation number bounds for interacting fermions
Matthew F. Lapa
We derive rigorous bounds on the average momentum occupation numbers in the Hubbard and Kondo models in the ground state and at non-zero temperatur…
Symmetry-protected gates of Majorana qubits in a high- superconductor platform
Matthew F. Lapa, Meng Cheng, Yuxuan Wang
We propose a platform for braiding Majorana non-Abelian anyons based on a heterostructure between a -wave high- superconductor and a quantum spin-Hall insulator. It has bee…
Topology of superconductors beyond mean-field theory
Matthew F. Lapa
The study of topological superconductivity is largely based on the analysis of mean-field Hamiltonians that violate particle number conservation and have only short-range interacti…
Rigorous results on topological superconductivity with particle number conservation
Matthew F. Lapa, Michael Levin
Most theoretical studies of topological superconductors and Majorana-based quantum computation rely on a mean-field approach to describe superconductivity. A potential problem with…
Anomaly indicators for topological orders with and time-reversal symmetry
Matthew F. Lapa, Michael Levin
We study anomalies in time-reversal () and symmetric topological orders. In this context, an anomalous topological order is one that cannot be realized in a…
A note on the parity anomaly from the Hamiltonian point of view
Matthew F. Lapa
We review the parity anomaly of the massless Dirac fermion in dimensions from the Hamiltonian, as opposed to the path integral, point of view. We have two main goals for this…
Semi-classical wave packet dynamics in non-uniform electric fields
Matthew F. Lapa, Taylor L. Hughes
We study the semi-classical theory of wave packet dynamics in crystalline solids extended to include the effects of a non-uniform electric field. In particular, we derive a correct…
Geometric quench in the fractional quantum Hall effect: exact solution in quantum Hall matrix models and comparison with bimetric theory
Matthew F. Lapa, Andrey Gromov, Taylor L. Hughes
We investigate the recently introduced geometric quench protocol for fractional quantum Hall (FQH) states within the framework of exactly solvable quantum Hall matrix models. In th…
Hall Viscosity in the Non-Abelian Quantum Hall Matrix Model
Matthew F. Lapa, Carl Turner, Taylor L. Hughes +1
Quantum Hall matrix models are simple, solvable quantum mechanical systems which capture the physics of certain fractional quantum Hall states. Recently, it was shown that the Hall…
Hall viscosity and geometric response in the Chern-Simons matrix model of the Laughlin states
Matthew F. Lapa, Taylor L. Hughes
We study geometric aspects of the Laughlin fractional quantum Hall (FQH) states using a description of these states in terms of a matrix quantum mechanics model known as the Chern-…
Arctic Curves in path models from the Tangent Method
Philippe Di Francesco, Matthew F. Lapa
Recently, Colomo and Sportiello introduced a powerful method, known as the \emph{Tangent Method}, for computing the arctic curve in statistical models which have a (non- or weakly-…
Perturbative and global anomalies in bosonic analogues of integer quantum Hall and topological insulator phases
Matthew F. Lapa, Taylor L. Hughes
We study perturbative and global anomalies at the boundaries of bosonic analogues of integer quantum Hall (BIQH) and topological insulator (BTI) phases using a description of the b…
Canonical quantization of nonlinear sigma models with theta term, with applications to symmetry-protected topological phases
Matthew F. Lapa, Taylor L. Hughes
We canonically quantize nonlinear sigma models (NLSMs) with theta term on arbitrary smooth, closed, connected, oriented -dimensional spatial manifolds , wi…
Topological Electromagnetic Responses of Bosonic Quantum Hall, Topological Insulator, and Chiral Semi-Metal phases in All Dimensions
Matthew F. Lapa, Chao-Ming Jian, Peng Ye +1
We calculate the topological part of the electromagnetic response of Bosonic Integer Quantum Hall (BIQH) phases in odd (spacetime) dimensions, and Bosonic Topological Insulator (BT…
A Bosonic Analog of a Topological Dirac Semi-Metal: Effective Theory, Neighboring Phases, and Wire Construction
Matthew F. Lapa, Gil Young Cho, Taylor L. Hughes
We construct a bosonic analog of a two-dimensional topological Dirac Semi-Metal (DSM). The low-energy description of the most basic 2D DSM model consists of two Dirac cones at posi…
Interaction Enabled Topological Crystalline Phases
Matthew F. Lapa, Jeffrey C. Y. Teo, Taylor L. Hughes
In this article we provide a general mechanism for generating interaction-enabled fermionic topological phases. We illustrate the mechanism with crystalline symmetry-protected topo…
Swimming at Low Reynolds Number in Fluids with Odd (Hall) Viscosity
Matthew F. Lapa, Taylor L. Hughes
We apply the geometric theory of swimming at low Reynolds number to the study of nearly circular swimmers in two-dimensional fluids with non-vanishing Hall, or "odd", viscosity. Th…
Ground States of the Classical Antiferromagnet on the Pyrochlore Lattice
Matthew F. Lapa, Christopher L. Henley
We study the classical ground states of the exchange-coupled Heisenberg antiferromagnet on the Pyrochlore lattice, a non-Bravais lattice made of corner-sharing tetrahedra. In parti…