@article {ISI:000461964300002,
title = {Braiding and gapped boundaries in fracton topological phases},
journal = {Phys. Rev. B},
volume = {99},
number = {12},
year = {2019},
month = {MAR 19},
pages = {125132},
publisher = {AMER PHYSICAL SOC},
type = {Article},
abstract = {We study gapped boundaries of Abelian type-I fracton systems in three spatial dimensions. Using the X-cube model as our motivating example, we give a conjecture, with partial proof, of the conditions for a boundary to be gapped. In order to state our conjecture, we use a precise definition of fracton braiding and show that bulk braiding of fractons has several features that make it insufficient to classify gapped boundaries. Most notable among these is that bulk braiding is sensitive to geometry and is {\textquoteleft}{\textquoteleft}nonreciprocal{{\textquoteright}{\textquoteright}}; that is, braiding an excitation a around b need not yield the same phase as braiding b around a. Instead, we define fractonic {\textquoteleft}{\textquoteleft}boundary braiding,{{\textquoteright}{\textquoteright}} which resolves these difficulties in the presence of a boundary. We then conjecture that a boundary of an Abelian fracton system is gapped if and only if a {\textquoteleft}{\textquoteleft}boundary Lagrangian subgroup{{\textquoteright}{\textquoteright}} of excitations is condensed at the boundary; this is a generalization of the condition for a gapped boundary in two spatial dimensions, but it relies on boundary braiding instead of bulk braiding. We also discuss the distinctness of gapped boundaries and transitions between different topological orders on gapped boundaries.},
issn = {2469-9950},
doi = {10.1103/PhysRevB.99.125132},
author = {Bulmash, Daniel and Iadecola, Thomas}
}
@article {ISI:000476695900010,
title = {Exact Localized and Ballistic Eigenstates in Disordered Chaotic Spin Ladders and the Fermi-Hubbard Model},
journal = {Phys. Rev. Lett.},
volume = {123},
number = {3},
year = {2019},
month = {JUL 16},
pages = {036403},
publisher = {AMER PHYSICAL SOC},
type = {Article},
abstract = {We demonstrate the existence of exact atypical many-body eigenstates in a class of disordered, interacting one-dimensional quantum systems that includes the Fermi-Hubbard model as a special case. These atypical eigenstates, which generically have finite energy density and are exponentially many in number, are populated by noninteracting excitations. They can exhibit Anderson localization with area-law eigenstate entanglement or, surprisingly, ballistic transport at any disorder strength. These properties differ strikingly from those of typical eigenstates nearby in energy, which we show give rise to diffusive transport as expected in a chaotic quantum system. We discuss how to observe these atypical eigenstates in cold-atom experiments realizing the Fermi-Hubbard model, and comment on the robustness of their properties.},
issn = {0031-9007},
doi = {10.1103/PhysRevLett.123.036403},
author = {Iadecola, Thomas and Znidaric, Marko}
}
@article {ISI:000473018400004,
title = {Ground-state degeneracy of non-Abelian topological phases from coupled wires},
journal = {Phys. Rev. B},
volume = {99},
number = {24},
year = {2019},
month = {JUN 20},
pages = {245138},
publisher = {AMER PHYSICAL SOC},
type = {Article},
abstract = {We construct a family of two-dimensional non-Abelian topological phases from coupled wires using a non-Abelian bosonization approach. We then demonstrate how to determine the nature of the non-Abelian topological order (in particular, the anyonic excitations and the topological degeneracy on the torus) realized in the resulting gapped phases of matter. This paper focuses on the detailed case study of a coupled-wire realization of the bosonic su(2)(2) Moore-Read state, but the approach we outline here can be extended to general bosonic su(2)(k) topological phases described by non-Abelian Chern-Simons theories. We also discuss possible generalizations of this approach to the construction of three-dimensional non-Abelian topological phases.},
issn = {2469-9950},
doi = {10.1103/PhysRevB.99.245138},
author = {Iadecola, Thomas and Neupert, Titus and Chamon, Claudio and Mudry, Christopher}
}
@article {ISI:000465163400005,
title = {Hierarchical Majoranas in a programmable nanowire network},
journal = {Phys. Rev. B},
volume = {99},
number = {15},
year = {2019},
month = {APR 19},
pages = {155138},
publisher = {AMER PHYSICAL SOC},
type = {Article},
abstract = {We propose a hierarchical architecture for building {\textquoteleft}{\textquoteleft}logical{{\textquoteright}{\textquoteright}} Majorana zero modes using {\textquoteleft}{\textquoteleft}physical{{\textquoteright}{\textquoteright}} Majorana zero modes at the Y-junctions of a hexagonal network of semiconductor nanowires. Each Y-junction contains three {\textquoteleft}{\textquoteleft}physical{{\textquoteright}{\textquoteright}} Majoranas, which hybridize when placed in close proximity, yielding a single effective Majorana mode near zero energy. The hybridization of effective Majorana modes on neighboring Y-junctions is controlled by applied gate voltages on the links of the honeycomb network. This gives rise to a tunable tight-binding model of effective Majorana modes. We show that selecting the gate voltages that generate a Kekule vortex pattern in the set of hybridization amplitudes yields an emergent {\textquoteleft}{\textquoteleft}logical{{\textquoteright}{\textquoteright}} Majorana zero mode bound to the vortex core. The position of a logical Majorana can be tuned adiabatically, without moving any of the {\textquoteleft}{\textquoteleft}physical{{\textquoteright}{\textquoteright}} Majoranas or closing any energy gaps, by programming the values of the gate voltages to change as functions of time. A nanowire network supporting multiple such {\textquoteleft}{\textquoteleft}logical{{\textquoteright}{\textquoteright}} Majorana zero modes provides a physical platform for performing adiabatic non-Abelian braiding operations in a fully controllable manner.},
issn = {2469-9950},
doi = {10.1103/PhysRevB.99.155138},
author = {Yang, Zhi-Cheng and Iadecola, Thomas and Chamon, Claudio and Mudry, Christopher}
}
@article { ISI:000449292600001,
title = {Configuration-controlled many-body localization and the mobility emulsion},
journal = {PHYSICAL REVIEW B},
volume = {98},
number = {17},
year = {2018},
month = {NOV 2},
pages = {174201},
issn = {2469-9950},
doi = {10.1103/PhysRevB.98.174201},
author = {Schecter, Michael and Iadecola, Thomas and S. Das Sarma}
}
@article { ISI:000433040400001,
title = {Floquet Supersymmetry},
journal = {PHYSICAL REVIEW LETTERS},
volume = {120},
number = {21},
year = {2018},
month = {MAY 24},
pages = {210603},
issn = {0031-9007},
doi = {10.1103/PhysRevLett.120.210603},
author = {Iadecola, Thomas and Hsieh, Timothy H.}
}
@article { ISI:000439729800001,
title = {Many-body spectral reflection symmetry and protected infinite-temperature degeneracy},
journal = {PHYSICAL REVIEW B},
volume = {98},
number = {3},
year = {2018},
month = {JUL 25},
pages = {035139},
issn = {2469-9950},
doi = {10.1103/PhysRevB.98.035139},
author = {Schecter, Michael and Iadecola, Thomas}
}
@article { ISI:000447918000003,
title = {Quantum inverse freezing and mirror-glass order},
journal = {PHYSICAL REVIEW B},
volume = {98},
number = {14},
year = {2018},
month = {OCT 22},
pages = {144204},
issn = {2469-9950},
doi = {10.1103/PhysRevB.98.144204},
author = {Iadecola, Thomas and Schecter, Michael}
}