225 citations · 1.7k across the 39 of their papers we have counts for
39 papers
Topological characterization of multifold band degeneracies in Altland-Zirnbauer symmetry classes
Askar Iliasov, Zoltán Guba, Tsuneya Yoshida +2
Topological degeneracies of energy bands in crystalline matter are conventionally characterized by invariants computed on an enclosing sphere over which the spectrum remains gapped…
Lieb-Schultz-Mattis anomalies and web of dualities induced by gauging in quantum spin chains
Ömer M. Aksoy, Christopher Mudry, Akira Furusaki +1
Lieb-Schultz-Mattis (LSM) theorems impose non-perturbative constraints on the zero-temperature phase diagrams of quantum lattice Hamiltonians (always assumed to be local in this pa…
Symmetry fractionalization, mixed-anomalies and dualities in quantum spin models with generalized symmetries
Heidar Moradi, Ömer M. Aksoy, Jens H. Bardarson +1
We investigate the gauging of higher-form finite Abelian symmetries and their sub-groups in quantum spin models in spatial dimensions and 3. Doing so, we naturally uncover ga…
Single monkey-saddle singularity of a Fermi surface and its instabilities
Ömer M. Aksoy, Anirudh Chandrasekaran, Apoorv Tiwari +3
Fermi surfaces can undergo sharp transitions under smooth changes of parameters. Such transitions can have a topological character, as is the case when a higher-order singularity,…
Higher categorical symmetries and gauging in two-dimensional spin systems
Clement Delcamp, Apoorv Tiwari
We present a framework to systematically investigate higher categorical symmetries in two-dimensional spin systems. Though exotic, such generalised symmetries have been shown to na…
Non-Invertible Symmetry Webs
Lakshya Bhardwaj, Lea E. Bottini, Sakura Schafer-Nameki +1
Non-invertible symmetries have by now seen numerous constructions in higher dimensional Quantum Field Theories (QFT). In this paper we provide an in depth study of gauging 0-form s…
Unifying Constructions of Non-Invertible Symmetries
Lakshya Bhardwaj, Sakura Schafer-Nameki, Apoorv Tiwari
In the past year several constructions of non-invertible symmetries in Quantum Field Theory in have appeared. In this paper we provide a unified perspective on these cons…
Interacting topological quantum chemistry of Mott atomic limits
Martina O. Soldini, Nikita Astrakhantsev, Mikel Iraola +6
Topological quantum chemistry (TQC) is a successful framework for identifying (noninteracting) topological materials. Based on the symmetry eigenvalues of Bloch eigenstates at maxi…
Topological Holography: Towards a Unification of Landau and Beyond-Landau Physics
Heidar Moradi, Seyed Faroogh Moosavian, Apoorv Tiwari
We outline a holographic framework that attempts to unify Landau and beyond-Landau paradigms of quantum phases and phase transitions. Leveraging a modern understanding of symmetrie…
Marginal quenches and drives in Tomonaga-Luttinger liquids
Shouvik Datta, Bastien Lapierre, Per Moosavi +1
We study Tomonaga-Luttinger liquids thrown out of equilibrium by marginal deformations in the form of interaction modulations. This is modeled by quenching or periodically driving…
Thermal and dissipative effects on the heating transition in a driven critical system
Kenny Choo, Bastien Lapierre, Clemens Kuhlenkamp +3
We study the dissipative dynamics of a periodically driven inhomogeneous critical lattice model in one dimension. The closed system dynamics starting from pure initial states is we…
Non-Invertible Higher-Categorical Symmetries
Lakshya Bhardwaj, Lea E. Bottini, Sakura Schafer-Nameki +1
We sketch a procedure to capture general non-invertible symmetries of a d-dimensional quantum field theory in the data of a higher-category, which captures the local properties of…
Anomalous gapped boundaries between surface topological orders in higher-order topological insulators and superconductors with inversion symmetry
Ming-Hao Li, Titus Neupert, S. A. Parameswaran +1
We show that the gapless boundary signatures - namely, chiral/helical hinge modes or localized zero modes - of three-dimensional higher-order topological insulators and superconduc…
Dephasing enhanced strong Majorana zero modes in 2D and 3D higher-order topological superconductors
Loredana M. Vasiloiu, Apoorv Tiwari, Jens H. Bardarson
The 1D Kitaev model in the topological phase, with open boundary conditions, hosts strong Majorana zero modes. These are fermion parity-odd operators that almost commute with the H…
Non-Hermitian topology in monitored quantum circuits
Christoph Fleckenstein, Alberto Zorzato, Daniel Varjas +3
We demonstrate that genuinely non-Hermitian topological phases and corresponding topological phase transitions can be naturally realized in monitored quantum circuits, exemplified…
Hilbert space fragmentation in a 2D quantum spin system with subsystem symmetries
Alexey Khudorozhkov, Apoorv Tiwari, Claudio Chamon +1
We consider a 2D quantum spin model with ring-exchange interaction that has subsystem symmetries associated to conserved magnetization along rows and columns of a square lattice, w…
Higher-order topological superconductors from Weyl semimetals
Ammar Jahin, Apoorv Tiwari, Yuxuan Wang
We propose that doped Weyl semimetals with four Weyl points are natural candidates to realize higher-order topological superconductors, which exhibit a fully gapped bulk while the…
Lieb-Schultz-Mattis type theorems for Majorana models with discrete symmetries
Ömer M. Aksoy, Apoorv Tiwari, Christopher Mudry
We prove two Lieb-Schultz-Mattis type theorems that apply to any translationally invariant and local fermionic -dimensional lattice Hamiltonian for which fermion-number conserva…
Towards a Topological Quantum Chemistry description of correlated systems: the case of the Hubbard diamond chain
Mikel Iraola, Niclas Heinsdorf, Apoorv Tiwari +9
The recently introduced topological quantum chemistry (TQC) framework has provided a description of universal topological properties of all possible band insulators in all space gr…
Broken-Symmetry Ground States of the Heisenberg model on the Pyrochlore Lattice
Nikita Astrakhantsev, Tom Westerhout, Apoorv Tiwari +5
The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram. Besides hosting several ordered phases, the…
Unconventional transverse transport above and below the magnetic transition temperature in Weyl semimetal EuCdAs
Y. Xu, L. Das, J. Z. Ma +10
As exemplified by the growing interest in the quantum anomalous Hall effect, the research on topology as an organizing principle of quantum matter is greatly enriched from the inte…
The fine structure of heating in a quasiperiodically driven critical quantum system
Bastien Lapierre, Kenny Choo, Apoorv Tiwari +3
We study the heating dynamics of a generic one dimensional critical system when driven quasiperiodically. Specifically, we consider a Fibonacci drive sequence comprising the Hamilt…
Chiral Dirac Superconductors: Second-order and Boundary-obstructed Topology
Apoorv Tiwari, Ammar Jahin, Yuxuan Wang
We analyze the topological properties of a chiral superconductor for a two-dimensional metal/semimetal with four Dirac points. Such a system has been proposed to realize…
Transport across twist angle domains in moiré graphene
Bikash Padhi, Apoorv Tiwari, Titus Neupert +1
Many of the experiments in twisted bilayer graphene (TBG) differ from each other in terms of the details of their phase diagrams. Few controllable aspects aside, this discrepancy i…