26,738 research outputs found
Topological Response Theory of Abelian Symmetry-Protected Topological Phases in Two Dimensions
It has been shown that the symmetry-protected topological (SPT) phases with
finite Abelian symmetries can be described by Chern-Simons field theory. We
propose a topological response theory to uniquely identify the SPT orders,
which allows us to obtain a systematic scheme to classify bosonic SPT phases
with any finite Abelian symmetry group. We point out that even for finite
Abelian symmetry, there exist bosonic SPT phases beyond the current
Chern-Simons theory framework. We also apply the theory to fermionic SPT phases
with symmetry and find the classification of SPT phases depends
on the parity of : for even there are classes, out of which is
intrinsically fermionic SPT phases and can not be realized in any bosonic
system. Finally we propose a classification scheme of fermionic SPT phases for
any finite, Abelian symmetry.Comment: published versio
Rotation Symmetry-Protected Topological Phases of Fermions
We study classification of interacting fermionic symmetry-protected
topological (SPT) phases with both rotation symmetry and Abelian internal
symmetries in one, two, and three dimensions. By working out this
classification, on the one hand, we demonstrate the recently proposed
correspondence principle between crystalline topological phases and those with
internal symmetries through explicit block-state constructions. We find that
for the precise correspondence to hold it is necessary to change the central
extension structure of the symmetry group by the fermion parity.
On the other hand, we uncover new classes of intrinsically fermionic SPT phases
that are only enabled by interactions, both in 2D and 3D with four-fold
rotation. Moreover, several new instances of Lieb-Schultz-Mattis-type theorems
for Majorana-type fermionic SPTs are obtained and we discuss their
interpretations from the perspective of bulk-boundary correspondence.Comment: are welcom
Quantum Spin Liquid with Even Ising Gauge Field Structure on Kagome Lattice
Employing large-scale quantum Monte Carlo simulations, we study the extended
model on the kagome lattice. A quantum spin liquid phase
with effective even Ising gauge field structure emerges from the delicate
balance among three symmetry-breaking phases including stripe solid, staggered
solid and ferromagnet. This spin liquid is stabilized by an
extended interaction related to the Rokhsar-Kivelson potential in the quantum
dimer model limit. The phase transitions from the staggered solid to a spin
liquid or ferromagnet are found to be first order and so is the transition
between the stripe solid and ferromagnet. However, the transition between a
spin liquid and ferromagnet is found to be continuous and belongs to the 3D
universality class associated with the condensation of spinons. The
transition between a spin liquid and stripe solid appears to be continuous and
associated with the condensation of visons.Comment: 7 pages, 8 figure
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