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

@article{Chatterjee2017IntertwiningTO,
  title={Intertwining Topological Order and Broken Symmetry in a Theory of Fluctuating Spin-Density Waves.},
  author={Shubhayu Chatterjee and Subir Sachdev and Mathias S. Scheurer},
  journal={Physical review letters},
  year={2017},
  volume={119 22},
  pages={
          227002
        }
}
The pseudogap metal phase of the hole-doped cuprate superconductors has two seemingly unrelated characteristics: a gap in the electronic spectrum in the "antinodal" region of the square lattice Brillouin zone and discrete broken symmetries. We present 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 the square lattice Hubbard model, and in a CP^{1} theory… 

Figures, Tables, and Topics from this paper

Gauge theory for the cuprates near optimal doping
We describe the phase diagram of a 2+1 dimensional SU(2) gauge theory of fluctuating incommensurate spin density waves for the hole-doped cuprates. Our primary assumption is that all low energy
Topological order in the pseudogap metal
TLDR
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.
Triangular antiferromagnetism on the honeycomb lattice of twisted bilayer graphene
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
Long-range Coulomb interaction effects on the topological phase transitions between semimetals and insulators
Topological states may be protected by a lattice symmetry in a class of topological semi-metals. In three spatial dimensions, the Berry flux around gapless excitations in momentum space defines a
Effective gauge theories of superfluidity with topological order
A bstractWe discuss the low-energy dynamics of superfluidity with topological order in (3 + 1) spacetime dimensions. We generalize a topological BF theory by introducing a non-square K matrix, and
Thermal Hall effect in square-lattice spin liquids: A Schwinger boson mean-field study
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
Fermionic spinon theory of square lattice spin liquids near the N\'eel state
Quantum fluctuations of the N\'eel state of the square lattice antiferromagnet are usually described by a $\mathbb{CP}^1$ theory of bosonic spinons coupled to a U(1) gauge field, and with a global
Pseudogap and Fermi surface topology in the two-dimensional Hubbard model.
One of the distinctive features of hole-doped cuprate superconductors is the onset of a `pseudogap' below a temperature $T^*$. Recent experiments suggest that there may be a connection between the
Confinement transition of ℤ2 gauge theories coupled to massless fermions: Emergent quantum chromodynamics and SO(5) symmetry
TLDR
This work develops a field theory description of the direct transition involving an emergent nonabelian [SU(2)] gauge theory and a matrix Higgs field and finds numerical evidence for an enlarged SO(5) symmetry rotating between antiferromagnetism and valence bond solid orders proximate to criticality.
Topological order, emergent gauge fields, and Fermi surface reconstruction.
  • S. Sachdev
  • Physics, Medicine
    Reports 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
...
1
2
3
...

References

SHOWING 1-10 OF 68 REFERENCES
Hartree-Fock theory of spiral magnetic order in the 2-d Hubbard model
The magnetic order in the 2-d Hubbard model is investigated within Hartree-Fock theory. For the class of states with uniform particle density and spiral arrangement of spins the phase diagram is
Fluctuating spin density waves in metals
Recent work has used a U(1) gauge theory to describe the physics of Fermi pockets in the presence of fluctuating spin density wave order. We generalize this theory to an arbitrary band structure and
Doping-induced incommensurate antiferromagnetism in a Mott-Hubbard insulator.
Properties of incommensurate spiral spin phases are calculated at the mean-field level for a single-band Hubbard Hamiltonian with variable hole density, by adapting both the Hartree-Fock decoupling
Mean-field theory of spin-liquid states with finite energy gap and topological orders.
  • Wen
  • Physics, Medicine
    Physical review. B, Condensed matter
  • 1991
The mean-field theory of a T- and P-symmetric spin-liquid state is developed. The quasiparticle excitations in the spin-liquid state are shown to be spin-1/2 neutral fermions (the spinons) and charge
Higgs criticality in a two-dimensional metal
We analyze a candidate theory for the strange metal near optimal hole-doping in the cuprate superconductors. The theory contains a quantum phase transition between metals with large and small Fermi
Two-step restoration of SU(2) symmetry in a frustrated ring-exchange magnet.
We demonstrate the existence of a spin-nematic, moment-free phase in a quantum four-spin ring-exchange model on the square lattice. This unusual quantum state is created by the interplay of
Fractionalized fermi liquids.
In spatial dimensions d>or=2, Kondo lattice models of conduction and local moment electrons can exhibit a fractionalized, nonmagnetic state (FL(*)) with a Fermi surface of sharp electronlike
Insulators and Metals With Topological Order and Discrete Symmetry Breaking
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
Superconductivity from a confinement transition out of a fractionalized Fermi liquid with Z2 topological and Ising-nematic orders
The Schwinger-boson theory of the frustrated square lattice antiferromagnet yields a stable, gapped $\mathbb{Z}_2$ spin liquid ground state with time-reversal symmetry, incommensurate spin
Fermi Surface Reconstruction and Drop in the Hall Number due to Spiral Antiferromagnetism in High-T_{c} Cuprates.
We show that a Fermi surface reconstruction due to spiral antiferromagnetic order may explain the rapid change in the Hall number as recently observed near optimal doping in cuprate superconductors
...
1
2
3
4
5
...