Thermodynamic electric quadrupole moments of nematic phases from first-principles calculations

Kitamura, Taisei; Ishizuka, Jun; Daido, Akito; Yanase, Youichi

doi:10.1103/physrevb.103.245114

Cited by 11 publications

(7 citation statements)

References 106 publications

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“…In this paper, we show that the anapole superconductivity is a ubiquitous feature more than revealed in the previous paper 28 , considering the quantum geometry extensively studied in various fields 37,38,[47][48][49][50][51][52][53][54][55][56][57][58] . Recently, an essential role of the quantum geometry in the superfluid weight, namely, the second-order derivative of the free energy, has been revealed [59][60][61][62] .…”

Section: Introductionmentioning

confidence: 61%

“…In this paper we dealt with a simplified model for UTe 2 , where the orbital degree of freedom, electron correlation effect, detailed band structure and so on are neglected for simplicity. For a precise prediction it is desirable to study a more realistic model for UTe 2 , as we have carried out for FeSe based on the first-principles calculation 58,62 . Such studies are beyond the scope of this paper and left for a future work.…”

Section: Summary and Discussionmentioning

confidence: 99%

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Quantum-geometry-induced anapole superconductivity

Kitamura¹,

Kanasugi²,

Chazono³

et al. 2022

Preprint

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Anapole superconductivity recently proposed for multiband superconductors [Commun. Phys. 5, 39 (2022)] is a key feature of time-reversal (T )-symmetry-broken polar superconductors. The anapole moment was shown to arise from the asymmetric Bogoliubov spectrum, which induces a finite center of mass momenta of Cooper pairs at the zero magnetic field. In this paper, we show an alternative mechanism of anapole superconductivity: the quantum geometry induces the anapole moment when the interband pairing and Berry connection are finite. Thus, the anapole superconductivity is a ubiquitous feature of T -broken multiband polar superconductors. Applying the theory to a minimal model of UTe2, we demonstrate the quantum-geometry-induced anapole superconductivity. Furthermore, we show the Bogoliubov Fermi surfaces (BFS) in an anapole superconducting state and predict an unusual temperature dependence of BFS due to the quantum geometry. Experimental verification of these phenomena may clarify the superconducting state in UTe2 and reveal the ubiquitous importance of quantum geometry in exotic superconductors.

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Section: Introductionmentioning

confidence: 61%

Section: Summary and Discussionmentioning

confidence: 99%

Quantum-geometry-induced anapole superconductivity

Kitamura¹,

Kanasugi²,

Chazono³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Quantization of this quadrupole invariant in more general situations and how to resolve the gauge redundancy of the quadrupole invariant will be addressed in future studies, though we have provided arguments of plausibility for our choice. Since the quadrupole moment is related to the quantum metric tensor [47,54,58], which has attracted attention in recent studies [48,49,59,60], the relation between the higher-order topology and the underlying quantum geometry also requires further investigation.…”

Section: Discussionmentioning

confidence: 99%

“…In this paper, we would like to find a more straightforward definition of the bulk quadrupole moments for the same purpose. In analogy to the dipole moment, which can be simply calculated by taking the expectation of the position operator in the localized Wannier functions at the central unit cell, we find that the bulk quadrupole can be defined in an alternative way by evaluating the expectation value of the square position operator in the same functions [45][46][47][48][49][50][51]. We introduce the alternative expression as follows…”

Section: Corner Charges and The Bulk Quadrupole Invariantmentioning

confidence: 99%

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Wannier Topology and Quadrupole Moments for a generalized Benalcazar-Bernevig-Hughes Model

Yang¹,

Principi²,

Walet³

2022

Preprint

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We analyze a chiral-symmetric model with a topological quadrupole moment, extending the Benalcazar-Bernevig-Hughes model [Science 357, 61 (2017)]. Using a Wilson loop formalism, we give an exact expression for Wannier centers, polarizations, and quadrupole moments and find these are connected to the winding numbers of the constitutive one-dimensional chains. We prove the model's Wannier topology can be characterized by a Z × Z invariant protected by chiral symmetry. It is shown that an alternative expression for the bulk quadrupole moments, calculated from the position of the localized Wannier functions at the central point of the lattice, can be used to make the bulk-boundary correspondence explicit. This invariant allows a physical interpretation of the nature of the usual definition of the quadrupole moment. It can be used to reveal the relationship between zero-energy states at the boundary, charge localization, and the bulk topological properties of the system.

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Magnetic parity violation and parity-time-reversal-symmetric magnets

Watanabe,

Yanase

2024

J. Phys.: Condens. Matter

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Parity-time-reversal symmetry ( PT symmetry), a symmetry for the combined operations of space inversion ( P ) and time reversal ( T ), is a fundamental concept of physics and characterizes the functionality of materials as well as P and T symmetries. In particular, the PT -symmetric systems can be found in the centrosymmetric crystals undergoing the parity-violating magnetic order which we call the odd-parity magnetic multipole order. While this spontaneous order leaves PT symmetry intact, the simultaneous violation of P and T symmetries gives rise to various emergent responses that are qualitatively different from those allowed by the nonmagnetic P -symmetry breaking or by the ferromagnetic order. In this review, we introduce candidates hosting the intriguing spontaneous order and overview the characteristic physical responses. Various off-diagonal and/or nonreciprocal responses are identified, which are closely related to the unusual electronic structures such as hidden spin-momentum locking and asymmetric band dispersion.

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Thermodynamic electric quadrupole moments of nematic phases from first-principles calculations

Cited by 11 publications

References 106 publications

Quantum-geometry-induced anapole superconductivity

Quantum-geometry-induced anapole superconductivity

Wannier Topology and Quadrupole Moments for a generalized Benalcazar-Bernevig-Hughes Model

Magnetic parity violation and parity-time-reversal-symmetric magnets

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