Generalized Wen-Zee terms

Han, Bo; Wang, Huajia; Ye, Peng

doi:10.1103/physrevb.99.205120

Cited by 39 publications

(25 citation statements)

References 66 publications

(86 reference statements)

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“…The authors of Ref. [358] indicate a good agreement between predictions of their impurity model and the low-energy neutron data that reveal a small spin gap of ∼ 0.7 meV after subtraction of the impurity signal. The same model is also able to explain the divergent response in the dynamic spin susceptibility below 1 meV [356] and is consistent with the NMR and specific-heat data [317].…”

Section: Herbertsmithite and Related S = 1/2 Kagome-layer Antiferromamentioning

confidence: 76%

“…Another important ingredient influencing the dynamical spin structure factor is chemical disorder, which can lead to a randomness-induced quantum spin liquid behaviour (randomsinglet state) above a certain critical value [357]. In a more recent work, Han et al [358] argued that the low-energy magnetic fluctuations also contain a considerable contribution from antiferromagnetically correlated magnetic Cu impurities on the nominally nonmagnetic Zn intersites. According to single-crystal 2 D NMR [359] and resonant x-ray diffraction measurements [360], the concentration of such weakly interacting Cu 2+ defect spins reaches 15%.…”

Section: Herbertsmithite and Related S = 1/2 Kagome-layer Antiferromamentioning

confidence: 99%

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Quantum magnetism in minerals

Inosov

2018

Advances in Physics

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The discovery of magnetism by the ancient Greeks was enabled by the natural occurrence of lodestone -a magnetized version of the mineral magnetite. Nowadays, natural minerals continue to inspire the search for novel magnetic materials with quantum-critical behaviour or exotic ground states such as spin liquids. The recent surge of interest in magnetic frustration and quantum magnetism was largely encouraged by crystalline structures of natural minerals realizing pyrochlore, kagome, or triangular arrangements of magnetic ions. As a result, names like azurite, jarosite, volborthite, and others, which were barely known beyond the mineralogical community a few decades ago, found their way into cutting-edge research in solid-state physics. In some cases, the structures of natural minerals are too complex to be synthesized artificially in a chemistry lab, especially in single-crystalline form, and there is a growing number of examples demonstrating the potential of natural specimens for experimental investigations in the field of quantum magnetism. On many other occasions, minerals may guide chemists in the synthesis of novel compounds with unusual magnetic properties. The present review attempts to embrace this quickly emerging interdisciplinary field that bridges mineralogy with low-temperature condensed-matter physics and quantum chemistry. PACS: 75.30.-m -intrinsic properties of magnetically ordered materials; 75.10.Jm -models of magnetic ordering, including quantum spin frustration; 91.60.Pn -magnetic properties of minerals.

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Section: Herbertsmithite and Related S = 1/2 Kagome-layer Antiferromamentioning

confidence: 76%

Section: Herbertsmithite and Related S = 1/2 Kagome-layer Antiferromamentioning

confidence: 99%

Quantum magnetism in minerals

Inosov

2018

Advances in Physics

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“…In the presence of a Chern number, and/or non-trivial rotation invariants this flux traps charge. A similar effect is known in the quantum Hall effect literature where the U (1) electromagnetic field can couple, in the presence of continuous rotation symmetry, to the geometric spin-connection field with the Wen-Zee term [52][53][54][55]…”

Section: Fractional Disclination Charge For Tcis With Chern Numbermentioning

confidence: 84%

Fractional disclination charge in two-dimensional Cn -symmetric topological crystalline insulators

et al. 2020

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Robust fractional charge localized at disclination defects has been recently found as a topological response in C6 symmetric 2D topological crystalline insulators (TCIs). In this article, we thoroughly investigate the fractional charge on disclinations in Cn symmetric TCIs, with or without time reversal symmetry, and including spinless and spin-1 2 cases. We compute the fractional disclination charges from the Wannier representations in real space and use band representation theory to construct topological indices of the fractional disclination charge for all 2D TCIs that admit a (generalized) Wannier representation. We find the disclination charge is fractionalized in units of e n for Cn symmetric TCIs; and for spin-1 2 TCIs, with additional time reversal symmetry, the disclination charge is fractionalized in units of 2e n . We extend our results to interacting phases and prove that the fractional disclination charge determined by our topological indices is robust against electronelectron interactions that preserve the Cn symmetry and many-body bulk gap. Moreover, we use an algebraic technique to generalize the indices for TCIs with non-zero Chern numbers, where a Wannier representation is not applicable. With the inclusion of the Chern number, our generalized fractional disclination indices apply for all Cn symmetric TCIs. Finally, we briefly discuss the connection between the Chern number dependence of our generalized indices and the Wen-Zee term.

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“…In [32], it was pointed out that the mixed gravitational anomaly, albeit consistent, cannot be canceled by the inflow of a relativistic classical action if the boundary (1+1)d spin connection is to be matched with the bulk (2+1)d spin connection. However, a non-relativistic inflow is possible using the renowned Wen-Zee topological term [33,34]. In this paper, we propose a relativistic inflow that matches the boundary (1+1)d spin connection with a bulk SO(2) gauge field.…”

Section: Introductionmentioning

confidence: 99%

On exotic consistent anomalies in (1+1)$d$: A ghost story

Chang

Lin

2021

SciPost Phys.

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We revisit ’t Hooft anomalies in (1+1)dd non-spin quantum field theory, starting from the consistency and locality conditions, and find that consistent U(1) and gravitational anomalies cannot always be canceled by properly quantized (2+1)dd classical Chern-Simons actions. On the one hand, we prove that certain exotic anomalies can only be realized by non-reflection-positive or non-compact theories; on the other hand, without insisting on reflection-positivity, the exotic anomalies present a caveat to the inflow paradigm. For the mixed U(1) gravitational anomaly, we propose an inflow mechanism involving a mixed U(1)\times×SO(2) classical Chern-Simons action with a boundary condition that matches the SO(2) gauge field with the (1+1)dd spin connection. Furthermore, we show that this mixed anomaly gives rise to an isotopy anomaly of U(1) topological defect lines. The isotopy anomaly can be canceled by an extrinsic curvature improvement term, but at the cost of creating a periodicity anomaly. We survey the holomorphic bcbc ghost system which realizes all the exotic consistent anomalies, and end with comments on a subtlety regarding the anomalies of finite subgroups of U(1).

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Generalized Wen-Zee terms

Cited by 39 publications

References 66 publications

Quantum magnetism in minerals

Quantum magnetism in minerals

Fractional disclination charge in two-dimensional Cn -symmetric topological crystalline insulators

On exotic consistent anomalies in (1+1)$d$: A ghost story

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