349 citations · 2k across the 39 of their papers we have counts for
39 papers
Exotic quantum liquids in Bose-Hubbard models with spatially-modulated symmetries
Pablo Sala, Yizhi You, Johannes Hauschild +1
We investigate the effect that spatially modulated continuous conserved quantities can have on quantum ground states. We do so by introducing a family of one-dimensional local quan…
Topological order and Fractons from Gauging Exponential Symmetries
Guilherme Delfino, Claudio Chamon, Yizhi You
We broaden the scope of quantum field theory by introducing a general class of discrete gauge theories that realize either topological order or fracton behavior across dimensions.…
Anomalous flux state in higher-order topological superconductors
Yizhi You
We investigate the anomalous flux state of interacting higher-order topological superconductors (HOTSC) protected by rotation symmetries. By introducing a superconducting flux…
Aspects of rank-2 gauge theory in dimensions: construction schemes, holonomies, and sublattice one-form symmetries
Yun-Tak Oh, Salvatore D. Pace, Jung Hoon Han +2
Rank-2 toric code (R2TC), a prototypical archetype of the discrete rank-2 symmetric gauge theory, has properties that differ from those of the standard toric code. Specifically, it…
Interaction Enabled Fractonic Higher-Order Topological Phases
Julian May-Mann, Yizhi You, Taylor L. Hughes +1
In this work, we present a collection of three-dimensional higher-order symmetry protected topological phases (HOSPTs) with gapless hinge modes that exist only in strongly interact…
Fractonic plaquette-dimer liquid beyond renormalization
Yizhi You, Roderich Moessner
We consider close-packed tiling models of geometric objects -- a mixture of hardcore dimers and plaquettes -- as a generalisation of the familiar dimer models. Specifically, on an…
Fractonic critical point proximate to a higher-order topological insulator: How does UV blend with IR?
Yizhi You, Julian Bibo, Taylor L. Hughes +1
We propose an unconventional topological quantum phase transition connecting a higher-order topological insulator (HOTI) and a featureless Mott insulator sharing the same symmetry…
Visualizing Quasiparticles from Quantum Entanglement for general 1D phases
Elisabeth Wybo, Frank Pollmann, S. L. Sondhi +1
In this work, we present a quantum information framework for the entanglement behavior of the low energy quasiparticle (QP) excitations in various quantum phases in one-dimensional…
Fracton Critical Point in Higher-Order Topological Phase Transition
Yizhi You, Julian Bibo, Frank Pollmann +1
The theory of quantum phase transitions separating different phases with distinct symmetry patterns at zero temperature is one of the foundations of modern quantum many-body physic…
Observing Quasiparticles through the Entanglement Lens
Yizhi You, Elisabeth Wybo, Frank Pollmann +1
The low energy physics of interacting quantum systems is typically understood through the identification of the relevant quasiparticles or low energy excitations and their quantum…
Higher-Order Entanglement and Many-Body Invariants for Higher-Order Topological Phases
Yizhi You, Julian Bibo, Frank Pollmann
We discuss how strongly interacting higher-order symmetry protected topological (HOSPT) phases can be characterized from the entanglement perspective: First, we introduce a topolog…
Fracton Phases of Matter
Michael Pretko, Xie Chen, Yizhi You
Fractons are a new type of quasiparticle which are immobile in isolation, but can often move by forming bound states. Fractons are found in a variety of physical settings, such as…
Fractional corner charges in a 2D super-lattice Bose-Hubbard model
Julian Bibo, Izabella Lovas, Yizhi You +2
We study a two dimensional super-lattice Bose-Hubbard model with alternating hoppings in the limit of strong on-site interactions. We evaluate the phase diagram of the model around…
Lieb-Schultz-Mattis type constraints on Fractonic Matter
Huan He, Yizhi You, Abhinav Prem
The Lieb-Schultz-Mattis (LSM) theorem and its descendants impose strong constraints on the low-energy behavior of interacting quantum systems. In this paper, we formulate LSM-type…
Multipolar Topological Field Theories: Bridging Higher Order Topological Insulators and Fractons
Yizhi You, F. J. Burnell, Taylor L. Hughes
Two new recently proposed classes of topological phases, namely fractons and higher order topological insulators (HOTIs), share at least superficial similarities. The wide variety…
Emergent fractons and algebraic quantum liquid from plaquette melting transitions
Yizhi You, Zhen Bi, Michael Pretko
Paramagnetic spin systems with spontaneously broken spatial symmetries, such as valence bond solid (VBS) phases, can host topological defects carrying non-trivial quantum numbers,…
Higher-order topological phase without crystalline symmetry
Yizhi You
A wide variety of higher-order symmetry protected topological phase(HOSPT) with gapless corners or hinges had been proposed as a descendant of topological crystalline insulator pro…
Fractonic Chern-Simons and BF theories
Yizhi You, Trithep Devakul, S. L. Sondhi +1
Fracton order is an intriguing new type of order which shares many common features with topological order, such as topology-dependent ground state degeneracies, and excitations wit…
Non-Abelian defects in Fracton phase of matter
Yizhi You
Fracton phase of matter host fractionalized topological quasiparticles with restricted mobility. A wide variety of fracton models with abelian excitations had been proposed and ext…
Majorana Quantum Lego, a Route Towards Fracton Matter
Yizhi You, Felix von Oppen
Fracton topological phases host fractionalized topological quasiparticles with restricted mobility, with promising applications to fault-tolerant quantum computation. While a varie…
Higher order topological superconductors as generators of quantum codes
Yizhi You, Daniel Litinski, Felix von Oppen
We show that interactions can drive a class of higher order topological superconductors (HOTSC) into symmetry enriched topologically ordered phases exemplified by topological quant…
Higher order symmetry-protected topological states for interacting bosons and fermions
Yizhi You, Trithep Devakul, F. J. Burnell +1
Higher-order topological insulators have a modified bulk-boundary correspondence compared to other topological phases: instead of gapless edge or surface states, they have gapped e…
Classification of subsystem symmetry-protected topological phases
Trithep Devakul, Dominic J. Williamson, Yizhi You
We consider symmetry-protected topological (SPT) phases in 2D protected by linear subsystem symmetries, i.e. those that act along rigid lines. There is a distinction between a "str…
Symmetric Fracton Matter: Twisted and Enriched
Yizhi You, Trithep Devakul, F. J. Burnell +1
In this paper, we explore the interplay between symmetry and fracton order, motivated by the analogous close relationship for topologically ordered systems. Specifically, we consid…