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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…
Quantum order by disorder in Frustrated Spin Nanotubes
João C. Getelina, Zekun Zhuang, Premala Chandra +3
We investigate quantum order by disorder in a frustrated spin nanotube formed by wrapping a - Heisenberg model at 45 around a cylinder. Using Schwinger boson theo…
Hydrodynamics of quantum spin liquids
Vir B. Bulchandani, Benjamin Hsu, Christopher P. Herzog +1
Quantum spin liquids are topological states of matter that arise in frustrated quantum magnets at low temperatures. At low energies, such states exhibit emergent gauge fields and f…
Theory of competing excitonic orders in insulating WTe monolayers
Yves H. Kwan, T. Devakul, S. L. Sondhi +1
We develop a theory of the excitonic phase recently proposed as the zero-field insulating state observed near charge neutrality in monolayer WTe. Using a Hartree-Fock approxima…
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…
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…
Floating topological phases
Trithep Devakul, S. L. Sondhi, S. A. Kivelson +1
While quasi-two-dimensional (layered) materials can be highly anisotropic, their asymptotic long-distance behavior generally reflects the properties of a fully three dimensional ph…
Comment on "Quantum Time Crystals from Hamiltonians with Long-Range Interactions"
Vedika Khemani, Roderich Moessner, S. L. Sondhi
In a recent paper (Phys. Rev. Lett. 123, 210602), Kozin and Kyriienko claim to realize "genuine" ground state time crystals by studying models with long-ranged and infinite-body in…
A Brief History of Time Crystals
Vedika Khemani, Roderich Moessner, S. L. Sondhi
The idea of breaking time-translation symmetry has fascinated humanity at least since ancient proposals of the perpetuum mobile. Unlike the breaking of other symmetries, such as sp…
Twisted bilayer graphene in a parallel magnetic field
Yves H. Kwan, S. A. Parameswaran, S. L. Sondhi
We study the effect of an in-plane magnetic field on the non-interacting dispersion of twisted bilayer graphene. Our analysis is rooted in the chirally symmetric continuum model, w…
Topology and Broken Symmetry in Floquet Systems
Fenner Harper, Rahul Roy, Mark S. Rudner +1
Floquet systems are governed by periodic, time-dependent, Hamiltonians. Prima facie they should absorb energy from the external drives involved in modulating their couplings and he…
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…
Topology- and symmetry-protected domain wall conduction in quantum Hall nematics
Kartiek Agarwal, Mallika T. Randeria, A. Yazdani +2
We consider domain walls in nematic quantum Hall ferromagnets predicted to form in multivalley semiconductors, recently probed by scanning tunnelling microscopy experiments on Bi(1…
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…
Fractal Symmetric Phases of Matter
Trithep Devakul, Yizhi You, F. J. Burnell +1
We study spin systems which exhibit symmetries that act on a fractal subset of sites, with fractal structures generated by linear cellular automata. In addition to the trivial symm…
Symmetry breaking and localization in a random Schwinger model with commensuration
A. A. Akhtar, Rahul M. Nandkishore, S. L. Sondhi
We numerically investigate a lattice regularized version of quantum electrodynamics in one spatial dimension (Schwinger model). We work at a density where lattice commensuration ef…
Subsystem symmetry protected topological order
Yizhi You, Trithep Devakul, F. J. Burnell +1
In this work, we introduce a new type of topological order which is protected by subsystem symmetries which act on lower dimensional subsets of lattice many-body system, e.g. along…
Correlation function diagnostics for type-I fracton phases
Trithep Devakul, S. A. Parameswaran, S. L. Sondhi
Fracton phases are recent entrants to the roster of topological phases in three dimensions. They are characterized by subextensively divergent topological degeneracy and excitation…
Many body localization with long range interactions
Rahul M. Nandkishore, S. L. Sondhi
Many body localization (MBL) has emerged as a powerful paradigm for understanding non-equilibrium quantum dynamics. Folklore based on perturbative arguments holds that MBL only ari…
Operator hydrodynamics, OTOCs, and entanglement growth in systems without conservation laws
Curt von Keyserlingk, Tibor Rakovszky, Frank Pollmann +1
Thermalization and scrambling are the subject of much recent study from the perspective of many-body quantum systems with locally bounded Hilbert spaces (`spin chains'), quantum fi…
Density-Matrix Renormalization Group study of Many-Body Localization in Floquet Eigenstates
Carolyn Zhang, Frank Pollmann, S. L. Sondhi +1
We generalize the recently introduced Density-Matrix Renormalization Group (DMRG-X) [Khemani et al, PRL 2016] algorithm to obtain Floquet eigenstates of one-dimensional, periodical…
Evidence of a fractional quantum Hall nematic phase in a microscopic model
N. Regnault, J. Maciejko, S. A. Kivelson +1
At small momenta, the Girvin-MacDonald-Platzman (GMP) mode in the fractional quantum Hall (FQH) effect can be identified with gapped nematic fluctuations in the isotropic FQH liqui…
1D Many-body localized Floquet systems II: Symmetry-Broken phases
C. W. von Keyserlingk, S. L. Sondhi
Recent work suggests that a sharp definition of `phase of matter' can be given for periodically driven `Floquet' quantum systems exhibiting many-body localization. In this work we…
Phase Structure of 1d Interacting Floquet Systems I: Abelian SPTs
C. W. von Keyserlingk, S. L. Sondhi
Recent work suggests that a sharp definition of `phase of matter' can be given for some quantum systems out of equilibrium---first for many-body localized systems with time indepen…