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

Chatterjee, Shubhayu; Sachdev, Subir; Scheurer, Mathias S.

doi:10.1103/physrevlett.119.227002

Cited by 40 publications

(90 citation statements)

References 55 publications

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“…Depending on whether the reflection symmetry along a Cu-O bond or along a diagonal Cu-Cu bond is present, these states are referred to as patterns A and B in Ref. 9; they also appeared in studies of Z 2 spin liquids using bosonic [6,8] and fermionic [39] spinons. However, as will be shown below, both these ansätze lead to spinon bands which are topologically trivial, prompting the consideration of other patterns to procure nonzero Chern numbers.…”

Section: Spin Liquid Ansätze With Time-reversal Symmetry Breakingmentioning

confidence: 99%

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

et al. 2019

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Motivated by recent transport measurements in high-Tc cuprate superconductors in a magnetic field, we study the thermal Hall conductivity in materials with topological order, focusing on the contribution from neutral spinons. Specifically, different Schwinger boson mean-field ansätze for the Heisenberg antiferromagnet on the square lattice are analyzed. We allow for both Dzyaloshinskii-Moriya interactions, and additional terms associated with scalar spin chiralities that break timereversal and reflection symmetries, but preserve their product. It is shown that these scalar spin chiralities, which can either arise spontaneously or are induced by the orbital coupling of the magnetic field, can lead to spinon bands with nontrivial Chern numbers and significantly enhanced thermal Hall conductivity. Associated states with zero-temperature magnetic order, which is thermally fluctuating at any T > 0, also show a similarly enhanced thermal Hall conductivity. arXiv:1812.08792v2 [cond-mat.str-el]

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Section: Spin Liquid Ansätze With Time-reversal Symmetry Breakingmentioning

confidence: 99%

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

et al. 2019

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“…Although we do not have a complete consensus about the definition of topological order in gapless systems, let us temporarily consider it in this paper as a quantum system which has deconfined gauge fields in addition to local gapless excitations. Such theoretical models have been recently studied in the context of quantum criticality of high-T c cuprates, using gauged GL model [17][18][19][20]. There is also an example of such description in the physics of QCD [21][22][23][24].…”

Section: Contentsmentioning

confidence: 99%

Effective gauge theories of superfluidity with topological order

Hirono

Tanizaki

2019

J. High Energ. Phys.

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We discuss the low-energy dynamics of superfluidity with topological order in (3 + 1) spacetime dimensions. We generalize a topological BF theory by introducing a nonsquare K matrix, and this generalized BF theory can describe massless Nambu-Goldstone bosons and anyonic statistics between vortices and quasiparticles. We discuss the general structure of discrete and continuous higher-form symmetries in this theory, which can be used to classify quantum phases. We describe how to identify the appearance of topological order in such systems and discuss its relation to a mixed 't Hooft anomaly between discrete higher-form symmetries. We apply this framework to the color-flavor locked phase of dense QCD, which shows anyonic particle-vortex statistics while no topological order appears. An explicit example of superfluidity with topological order is discussed.

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“…An important consequence is that states with different topological order cannot be continuously connected and there should be a quantum phase transition between them. In recent years, the role of topology for gappless quantum systems is also gradually taken into account, and it potentially has an impact for understanding cuprate superconductors [17,18].…”

Section: Introductionmentioning

confidence: 99%

Quark-Hadron Continuity beyond the Ginzburg-Landau Paradigm

Hirono

Tanizaki

2019

Phys. Rev. Lett.

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Quark-hadron continuity is a scenario that hadronic matter is continuously connected to color superconductor without phase transitions as the baryon chemical potential increases. This scenario is based on Landau's classification of phases since they have the same symmetry breaking pattern. We address the question whether this continuity is true as quantum phases of matter, which requires the treatment beyond Ginzburg-Landau description. To examine the topological nature of color superconductor, we derive a dual effective theory for U (1) Nambu-Goldstone (NG) bosons and vortices of the color-flavor locked phase, and discuss the fate of emergent higher-form symmetries. The theory has the form of a topological BF theory coupled to NG bosons, and fractional statistics of test quarks and vortices arises as a result of an emergent Z3 two-form symmetry. We find that this symmetry cannot be spontaneously broken, indicating that quark-hadron continuity is still a consistent scenario.1 Earlier works along this direction include [25,26], in which the effects of color holonomies are not considered. In Ref.[27], Aharonov-Bohm (AB) scattering of quark off color magnetic fluxes is studied in the 2SC phase, in which vortices are not topologically stable. In Ref.[28], scattering of color-neutral particles off CFL vortices is discussed.

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

Cited by 40 publications

References 55 publications

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

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

Effective gauge theories of superfluidity with topological order

Quark-Hadron Continuity beyond the Ginzburg-Landau Paradigm

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