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Deconfined quantum critical points: symmetries and dualities
The deconfined quantum critical point (QCP), separating the Neel and valence bond solid phases in a 2D antiferromagnet, was proposed as an example of ð2 þ 1ÞD criticality fundamentally different from
Sachdev-Ye-Kitaev model and thermalization on the boundary of many-body localized fermionic symmetry-protected topological states
The Sachdev-Ye-Kitaev (SYK) model is a quantum mechanical model for randomly interaction fermions in a quantum dot. This paper studies the properties of the many-body spectrum of the SYK model and
Non-Fermi-liquid and topological states with strong spin-orbit coupling.
We argue that a class of strongly spin-orbit-coupled materials, including some pyrochlore iridates and the inverted band gap semiconductor HgTe, may be described by a minimal model consisting of the
Magnetic impurities on the surface of a topological insulator.
It is shown that a magnetic impurity opens up a local gap and suppresses the local density of states, and the case of quenched disorder through a renormalization group analysis is studied.
Self-dual Quantum Electrodynamics as Boundary State of the three dimensional Bosonic Topological Insulator
Inspired by the recent developments of constructing novel Dirac liquid boundary states of the $3d$ topological insulator, we propose one possible $2d$ boundary state of the $3d$ bosonic symmetry
Resonating plaquette phases in SU(4) Heisenberg antiferromagnet
Large spin cold atom systems can exhibit magnetic properties that do not appear in usual spin-$1∕2$ systems. We investigate the SU(4) resonating plaquette state in the three-dimensional cubic optical
Gapless bosonic excitation without symmetry breaking: An algebraic spin liquid with soft gravitons
A quantum ground state of matter is realized in a bosonic model on a three-dimensional fcc lattice with emergent low energy excitations. The phase obtained is a stable gapless boson liquid phase,
Emergent Gravity at a Lifshitz Point from a Bose Liquid on the Lattice
We propose a model with quantum bosons on the fcc lattice, which has a stable algebraic Bose liquid phase at low energy. We show that this phase is described by emergent quantum gravity at the
Stability of the quantum spin Hall effect: Effects of interactions, disorder, and Z 2 topology
The stability to interactions and disorder of the quantum spin Hall effect (QSHE) proposed for time-reversal-invariant 2D systems is discussed. The QSHE requires an energy gap in the bulk and gapless
Stable Gapless Bose Liquid Phases without any Symmetry
It is well-known that a stable algebraic spin liquid state (or equivalently an algebraic Bose liquid (ABL) state) with emergent gapless photon excitations can exist in quantum spin ice systems, or in