86 citations · 449 across the 36 of their papers we have counts for
14 papers · 1 filter
Topological Phenomena Protected by Diabolical Textures
Sayantan Mandal, Neelima Pulletikurty, Abhishodh Prakash
We present a new class of topological phenomena in inhomogeneous systems arising from the adiabatic spatial embedding of parametrized families of quantum states such as charge pump…
Textured phase diagrams of featureless insulators
Sashank Singam, Nick G. Jones, Abhishodh Prakash
We study phase diagrams of charge-conserving `class A' non-interacting fermions, focusing on the trivial phase in various dimensions. Such phases are usually termed `featureless' t…
Continuum Fractons: Quantization and the Few Body Problem
Ylias Sadki, Abhishodh Prakash, S. L. Sondhi
We formulate a continuum quantum mechanics for non-relativistic, dipole-conserving fractons. Imposing symmetries and locality results in novel phenomena absent in ordinary quantum…
Charge pumps, pivot Hamiltonians and symmetry-protected topological phases
Nick. G. Jones, Ryan Thorngren, Ruben Verresen +1
Generalised charge pumps are topological obstructions to trivialising loops in the space of symmetric gapped Hamiltonians. We show that given mild conditions on such pumps, the ass…
Charge pumps, boundary modes, and the necessity of unnecessary criticality
Abhishodh Prakash, S. A. Parameswaran
We link the presence of "unnecessary" quantum critical surfaces within a single gapped phase of matter to the non-trivial topology of families of gapped Hamiltonians that encircle…
Universal Freezing Transitions of Dipole-Conserving Chains
Jonathan Classen-Howes, Riccardo Senese, Abhishodh Prakash
We demonstrate the existence of a universal phase diagram of quantum chains with range- interactions subject to the conservation of a total charge and its dipole moment. These s…
Symmetry-Enriched Criticality in a Coupled Spin-Ladder
Suman Mondal, Adhip Agarwala, Tapan Mishra +1
We study a one-dimensional ladder of two coupled XXZ spin chains and identify several distinct gapless symmetry-enriched critical phases. These have the same unbroken symmetries an…
Classical Non-Relativistic Fractons
Abhishodh Prakash, Alain Goriely, S. L. Sondhi
We initiate the study of the classical mechanics of non-relativistic fractons in its simplest setting - that of identical one dimensional particles with local Hamiltonians characte…
Multiversality and Unnecessary Criticality in One Dimension
Abhishodh Prakash, Michele Fava, S. A. Parameswaran
We present microscopic models of spin ladders which exhibit continuous critical surfaces whose properties and existence, unusually, cannot be inferred from those of the flanking ph…
Unwinding Fermionic SPT Phases: Supersymmetry Extension
Abhishodh Prakash, Juven Wang
We show how 1+1-dimensional fermionic symmetry-protected topological states (SPTs, i.e. nontrivial short-range entangled gapped phases of quantum matter whose boundary exhibits 't…
Boundary supersymmetry of 1+1 d fermionic SPT phases
Abhishodh Prakash, Juven Wang
We prove that the boundaries of all non-trivial 1+1 dimensional intrinsically fermionic symmetry-protected-topological phases, protected by finite on-site symmetries (unitary or an…
An elementary proof of 1D LSM theorems
Abhishodh Prakash
The Lieb-Schultz-Mattis (LSM) theorem and its generalizations forbids the existence of a unique gapped ground state in the presence of certain lattice and internal symmetries and t…
On the classification of topological defects and textures
J. P. Ang, Abhishodh Prakash
Ordered phases resulting from spontaneously broken continuous symmetries are effectively described by sigma models of maps to the coset space of Goldstone modes. A classic problem…
Detection of gapped phases of a 1D spin chain with onsite and spatial symmetries
Abhishodh Prakash, Colin G. West, Tzu-Chieh Wei
We investigate the phase diagram of a quantum spin-1 chain whose Hamiltonian is invariant under a global onsite , translation and lattice inversion symmetries. We detect diffe…