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Higher-order topological quantum paramagnets

delete2022-01-06
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Daniel González-Cuadra *
DOI:10.1103/PhysRevB.105.L020403delete
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Abstract

Abstract

En 中文
Quantum paramagnets are strongly correlated phases of matter where competing interactions frustrate magnetic order down to zero temperature. In certain cases, quantum fluctuations instead induce topological order, supporting fractionalized quasiparticles. In this Letter, we investigate paradigmatic spin models and show how magnetic frustration can also give rise to higher-order topological properties. We first study the frustrated Heisenberg model in a square lattice, where a plaquette valence bond solid appears through the spontaneous breaking of translational invariance. Despite the amount of effort that has been devoted to study this phase, its topological nature has so far been overlooked. By means of tensor network simulations, we establish how such a state belongs to a higher-order symmetry-protected topological phase, where long-range plaquette order and nontrivial topology coexist. Through this interplay, we uncover excitations that would be absent otherwise, such as cornerlike bulk states bound to dynamical topological defects. Finally, we demonstrate how this higher-order topological quantum paramagnet is also induced by dipolar interactions, indicating the possibility to directly observe this phase using atomic quantum simulators.
Keywords:
NEAREST-NEIGHBOR INTERACTION
EXCHANGE INTERACTIONS
MATTER
REALIZATION
INSULATOR
GASES
PHASE
ATOMS

Journal

Physical Review B cover
Physical Review B
IF:
3.7
Papers:
15.4W
Citations:
41.0W

Organization

B
barcelona institute of science & technology
Scholars:
1.2W
Papers: 9.7K
Citations: 36