1.6k citations · 5.5k across the 28 of their papers we have counts for
28 papers
Infernal and Exceptional Edge Modes: Non-Hermitian Topology Beyond the Skin Effect
M. Michael Denner, Titus Neupert, Frank Schindler
The classification of point gap topology in all local non-Hermitian symmetry classes has been recently established. However, many entries in the resulting periodic table have only…
Hermitian Bulk -- Non-Hermitian Boundary Correspondence
Frank Schindler, Kaiyuan Gu, Biao Lian +1
Non-Hermitian band theory distinguishes between line gaps and point gaps. While point gaps can give rise to intrinsic non-Hermitian band topology without Hermitian counterparts, li…
Magnetic Flux Response of Non-Hermitian Topological Phases
M. Michael Denner, Frank Schindler
We derive the response of non-Hermitian topological phases with intrinsic point gap topology to localized magnetic flux insertions. In two spatial dimensions, we identify the neces…
Topological Zero-Dimensional Defect and Flux States in Three-Dimensional Insulators
Frank Schindler, Stepan S. Tsirkin, Titus Neupert +2
In insulating crystals, it was previously shown that defects with two fewer dimensions than the bulk can bind topological electronic states. We here further extend the classificati…
Trions in Twisted Bilayer Graphene
Frank Schindler, Oskar Vafek, B. Andrei Bernevig
The strong coupling phase diagram of magic angle twisted bilayer graphene (TBG) predicts a series of exact one particle charge gapped excitations on top of the integer-fill…
Exact Quantum Scars in the Chiral Non-Linear Luttinger Liquid
Frank Schindler, Nicolas Regnault, B. Andrei Bernevig
While the chiral linear Luttinger liquid is integrable via bosonization, its non-linear counterpart does not admit for an analytic solution. In this work, we find a sub-extensive n…
Superfluid weight bounds from symmetry and quantum geometry in flat bands
Jonah Herzog-Arbeitman, Valerio Peri, Frank Schindler +2
Flat-band superconductivity has theoretically demonstrated the importance of band topology to correlated phases. In two dimensions, the superfluid weight, which determines the crit…
Non-Compact Atomic Insulators
Frank Schindler, B. Andrei Bernevig
We study the conditions for Bloch bands to be spanned by symmetric and strictly compact Wannier states that have zero overlap with all lattice sites beyond a certain range. Similar…
Dislocation Non-Hermitian Skin Effect
Frank Schindler, Abhinav Prem
We demonstrate that crystal defects can act as a probe of intrinsic non-Hermitian topology. In particular, in point-gapped systems with periodic boundary conditions, a pair of disl…
Symmetry Indicators for Inversion-Symmetric Non-Hermitian Topological Band Structures
Pascal M. Vecsei, M. Michael Denner, Titus Neupert +1
We characterize non-Hermitian band structures by symmetry indicator topological invariants. Enabled by crystalline inversion symmetry, these indicators allow us to short-cut the ca…
Tutorial: Dirac Equation Perspective on Higher-Order Topological Insulators
Frank Schindler
In this tutorial, we pedagogically review recent developments in the field of non-interacting fermionic phases of matter, focussing on the low energy description of higher-order to…
Theory for the negative longitudinal magnetoresistance in the quantum limit of Kramers Weyl semimetals
Bo Wan, Frank Schindler, Ke Wang +4
Negative magnetoresistance is rare in non-magnetic materials. Recently, a negative magnetoresistance has been observed in the quantum limit of -AgSe, where only one band of…
Exceptional Topological Insulators
M. Michael Denner, Anastasiia Skurativska, Frank Schindler +4
We introduce the exceptional topological insulator (ETI), a non-Hermitian topological state of matter that features exotic non-Hermitian surface states which can only exist within…
Discovery of topological metamaterials by symmetry relaxation and smooth topological indicators
Cyrill Bösch, Tena Dubček, Frank Schindler +2
Robustness against small perturbations is a crucial feature of topological properties. This robustness is both a source of theoretical interest and a drive for technological applic…
Algorithms for Tensor Network Contraction Ordering
Frank Schindler, Adam S. Jermyn
Contracting tensor networks is often computationally demanding. Well-designed contraction sequences can dramatically reduce the contraction cost. We explore the performance of simu…
Pairing Obstructions in Topological Superconductors
Frank Schindler, Barry Bradlyn, Mark H. Fischer +1
The modern understanding of topological insulators is based on Wannier obstructions in position space. Motivated by this insight, we study topological superconductors from a positi…
Reciprocal skin effect and its realization in a topolectrical circuit
Tobias Hofmann, Tobias Helbig, Frank Schindler +11
A system is non-Hermitian when it exchanges energy with its environment and non-reciprocal when it behaves differently upon the interchange of input and response. Within the field…
Fractional corner charges in spin-orbit coupled crystals
Frank Schindler, Marta Brzezińska, Wladimir A. Benalcazar +5
We study two-dimensional spinful insulating phases of matter that are protected by time-reversal and crystalline symmetries. To characterize these phases we employ the concept of c…
Lecture Notes on Topological Crystalline Insulators
Titus Neupert, Frank Schindler
We give an introduction to topological crystalline insulators, that is, gapped ground states of quantum matter that are not adiabatically connected to an atomic limit without break…
Many-body localization and delocalization in large quantum chains
Elmer V. H. Doggen, Frank Schindler, Konstantin S. Tikhonov +4
We theoretically study the quench dynamics for an isolated Heisenberg spin chain with a random on-site magnetic field, which is one of the paradigmatic models of a many-body locali…
Spin-Orbital Excitations in CaRuO Revealed by Resonant Inelastic X-ray Scattering
L. Das, F. Forte, R. Fittipaldi +19
The strongly correlated insulator CaRuO is considered as a paradigmatic realization of both spin-orbital physics and a band-Mott insulating phase, characterized by orbita…
Higher-Order Topology in Bismuth
Frank Schindler, Zhijun Wang, Maia G. Vergniory +12
The mathematical field of topology has become a framework to describe the low-energy electronic structure of crystalline solids. A typical feature of a bulk insulating three-dimens…
Ultraquantum magnetoresistance in Kramers Weyl semimetal candidate -Ag2Se
Cheng-Long Zhang, Frank Schindler, Haiwen Liu +14
The topological semimetal -Ag2Se features a Kramers Weyl node at the origin in momentum space and a quadruplet of spinless Weyl nodes, which are annihilated by spin-orbit coupli…
Competing orders in the Hofstadter t-J model
Wei-Lin Tu, Frank Schindler, Titus Neupert +1
The Hofstadter model describes non-interacting fermions on a lattice in the presence of an external magnetic field. Motivated by the plethora of solid-state phases emerging from el…