# Insulators and Metals With Topological Order and Discrete Symmetry Breaking

@article{Chatterjee2017InsulatorsAM, title={Insulators and Metals With Topological Order and Discrete Symmetry Breaking}, author={Shubhayu Chatterjee and Subir Sachdev}, journal={Physical Review B}, year={2017}, volume={95}, pages={205133} }

Numerous experiments have reported discrete symmetry breaking in the high temperature pseudogap phase of the hole-doped cuprates, including breaking of one or more of lattice rotation, inversion, or time-reversal symmetries. In the absence of translational symmetry breaking or topological order, these conventional order parameters cannot explain the gap in the charged fermion excitation spectrum in the anti-nodal region. Zhao et al. (1601.01688) and Jeong et al. (arXiv:1701.06485) have also…

## 23 Citations

Orbital currents in insulating and doped antiferromagnets

- PhysicsPhysical Review B
- 2018

We describe square lattice spin liquids which break time-reversal symmetry, while preserving translational symmetry. The states are distinguished by the manner in which they transform under mirror…

Topological order in the pseudogap metal

- Physics, MedicineProceedings of the National Academy of Sciences
- 2018

It is shown that a theory of a metal with topological order and emergent gauge fields can model much of the numerical data and derive a modified, nonperturbative version of the Luttinger theorem that holds in the Higgs phase.

Topological order, emergent gauge fields, and Fermi surface reconstruction.

- Physics, MedicineReports on progress in physics. Physical Society
- 2019

This review describes how topological order associated with the presence of emergent gauge fields can reconstruct Fermi surfaces of metals, even in the absence of translational symmetry breaking. We…

Topological order and Fermi surface reconstruction

- Physics
- 2018

This review describes how topological order can reconstruct Fermi surfaces of metals, even in the absence of translational symmetry breaking. We begin with an introduction to topological order using…

Intertwining Topological Order and Broken Symmetry in a Theory of Fluctuating Spin-Density Waves.

- Physics, MedicinePhysical review letters
- 2017

A SU(2) gauge theory of quantum fluctuations of magnetically ordered states which appear in a classical theory of square lattice antiferromagnets, in a spin-density wave mean field theory of thesquare lattice Hubbard model, and in a CP^{1} theory of spinons is presented.

Thermal and electrical transport in metals and superconductors across antiferromagnetic and topological quantum transitions

- Materials Science, Physics
- 2017

We study thermal and electrical transport in metals and superconductors near a quantum phase transition where antiferromagnetic order disappears. The same theory can also be applied to quantum phase…

Emergent Gapless Fermions in Strongly-Correlated Phases of Matter and Quantum Critical Points

- Physics
- 2018

States with gapless degrees of freedom are typically more complicated and less wellunderstood than systems possessing a gap. In this thesis, we study strongly-correlated systems described by gapless…

Thermal Hall effect in square-lattice spin liquids: A Schwinger boson mean-field study

- Physics, Materials SciencePhysical Review B
- 2019

Motivated by recent transport measurements in high-${T}_{c}$ cuprate superconductors in a magnetic field, we study the thermal Hall conductivity in materials with topological order, focusing on the…

Triangular antiferromagnetism on the honeycomb lattice of twisted bilayer graphene

- Physics, Materials SciencePhysical Review B
- 2018

We present the electronic band structures of states with the same symmetry as the three-sublattice planar antiferromagnetic order of the triangular lattice. Such states can also be defined on the…

Thermodynamic signatures of quantum criticality in cuprate superconductors

- Physics, MedicineNature
- 2019

It is concluded that the pseudogap phase of cuprates ends at a quantum critical point, the associated fluctuations of which are probably involved in d-wave pairing and the anomalous scattering of charge carriers.

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