37 citations · 116 across the 6 of their papers we have counts for
5 papers · 1 filter
A quantum monomer-dimer model on Penrose tilings
Jeet Shah, Gautam Nambiar, Alexey V. Gorshkov +1
We define a quantum monomer-dimer model in the space of maximal dimer coverings of quasicrystalline Penrose tilings. Since Penrose tilings do not admit perfect dimer coverings, as…
Quantized charge polarization as a many-body invariant in (2+1)D crystalline topological states and Hofstadter butterflies
Yuxuan Zhang, Naren Manjunath, Gautam Nambiar +1
We show how to define a quantized many-body charge polarization for (2+1)D topological phases of matter, even in the presence of non-zero Chern number and magne…
Monopole Josephson Effects in a Dirac Spin Liquid
Gautam Nambiar, Daniel Bulmash, Victor Galitski
Dirac Spin liquids (DSLs) are gapless featureless states, yet interesting by virtue of the effective field theory describing them -- (2+1)-dimensional quantum electrodynamics (QED$…
Fractional disclination charge and discrete shift in the Hofstadter butterfly
Yuxuan Zhang, Naren Manjunath, Gautam Nambiar +1
In the presence of crystalline symmetries, topological phases of matter acquire a host of invariants leading to non-trivial quantized responses. Here we study a particular invarian…
Extended degeneracy and order by disorder in the square lattice J-J-J model
Bimla Danu, Gautam Nambiar, R. Ganesh
The square lattice antiferromagnet with frustrating next nearest neighbour coupling continues to generate tremendous interest, with an elusive quantum disordered phase in the vicin…