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Identifying topological order through unsupervised machine learning
An unsupervised machine learning algorithm that identifies topological order is demonstrated and is shown to be capable of classifying samples of the two-dimensional XY model by winding number and capture the Berezinskii–Kosterlitz–Thouless transition.
Intertwining Topological Order and Broken Symmetry in a Theory of Fluctuating Spin-Density Waves.
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.
Orbital currents in insulating and doped antiferromagnets
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
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
Unsupervised Machine Learning and Band Topology.
An unsupervised machine learning approach that searches for and retrieves paths of adiabatic deformations between Hamiltonians, thereby clustering them according to their topological properties, which is general and readily applicable to any symmetry class.
Nonadiabatic processes in Majorana qubit systems
We investigate the non-adiabatic processes occurring during the manipulations of Majorana qubits in 1-D semiconducting wires with proximity induced superconductivity. Majorana qubits are usually
Nodeless superconductivity in the type-II Dirac semimetal PdTe2 : London penetration depth and pairing-symmetry analysis
Superconducting gap structure was probed in type-II Dirac semimetal PdTe$_2$ by measuring the London penetration depth using tunnel diode resonator technique. At low temperatures, the data for two
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
Phases of SU(2) gauge theory with multiple adjoint Higgs fields in 2+1 dimensions
A recent work [S. Sachdev et al., Phys. Rev. B 99, 054516 (2019)] proposed a SU(2) gauge theory for optimal doping criticality in the cuprate superconductors. The theory contains ${N}_{h}$ Higgs
Time-reversal symmetry breaking and multigap superconductivity in the noncentrosymmetric superconductor La7Ni3
The Th$_{7}$Fe$_{3}$ family of superconductors provides a rich playground for unconventional superconductivity. La$_7$Ni$_3$ is the latest member of this family, which we here investigate by means of