Topological crystalline semimetals in nonsymmorphic lattices

Chen, Yige; Kim, Heung Sik; Kee, Hae‐Young

doi:10.1103/physrevb.93.155140

Cited by 85 publications

(98 citation statements)

References 43 publications

(42 reference statements)

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“…Following Ref. 17, we consider the electrons hopping on the Kagome lattice as described by an extended Hubbard model at 1/6 electron filling. In this model, both the on-site and the nearestneighbor Coulomb interactions are included in addition to the electron hopping.…”

Section: Model and Quantum Monte Carlo Simulationsmentioning

confidence: 99%

“…17 The U(1) spin liquid state arises from a generic procedure where a mean-field decoupling of the charge and spin degrees of freedom in terms of a slave-rotor representation of the electron operators 20 is performed. In such an approach, the electron systems are mapped onto a spinon Hamiltonian coupled to a bosonic lattice model of the charge sector via mean-field parameters.…”

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confidence: 99%

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Tripartite entangled plaquette state in a cluster magnet

2017

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Using large-scale quantum Monte Carlo simulations we show that a spin-1/2 XXZ model on a two-dimensional anisotropic Kagome lattice exhibits a tripartite entangled plaquette state that preserves all of the Hamiltonian symmetries. It is connected via phase boundaries to a ferromagnet and a valence-bond solid that break U(1) and lattice translation symmetries, respectively. We study the phase diagram of the model in detail, in particular the transitions to the tripartite entangled plaquette state, which are consistent with conventional order-disorder transitions. Our results can be interpreted as a description of the charge sector dynamics of a Hubbard model applied to the description of the spin liquid candidate LiZn2Mo3O8, as well as a model of strongly correlated bosonic atoms loaded onto highly tunable trimerized optical Kagome lattices.

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Section: Model and Quantum Monte Carlo Simulationsmentioning

confidence: 99%

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confidence: 99%

Tripartite entangled plaquette state in a cluster magnet

2017

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“…However the symmetry is restricted to be symmorphic although some extension to combined symmetry is explored 15 . Recently, topological crystalline insulators are generalized further to include the nonsymmorphic symmetry, and called nonsymmorphic topological crystalline insulators [16][17][18][19][20][21][22][22][23][24][25][26][27][28][29] . A nonsymmorphic topological insulator was predicted in KHgSb by first-principles calculations 31,32 and experimentally observed by ARPES (Angle-Resolved PhotoEmisison Spectroscopy) 33 in the same material soon after.…”

Section: Introductionmentioning

confidence: 99%

Hourglass fermion surface states in stacked topological insulators with nonsymmorphic symmetry

Ezawa

2016

Phys. Rev. B

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Recently a nonsymmorphic topological insulator was predicted, where the characteristic feature is the emergence of a "hourglass fermion" surface state protected by the nonsymmorphic symmetry. Such a state has already been observed experimentally. We propose a simple model possessing the hourglass fermion surface state. The model is constructing by stacking the quantum-spin-Hall insulators with the interlayer coupling introduced so as to preserve the nonsymmorphic symmetry and the time reversal symmetry. The Dirac theory is also derived, whose analytical results reproduce the hourglass fermion surface state remarkably well. Furthermore, we discuss how the hourglass state is destroyed by introducing perturbations based on the symmetry analysis. Our results show that the hourglass fermion surface state is universal in the helical edge system with the nonsymmorphic symmetry.

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“…Iridium compounds display a particularly large spin-orbit coupling (SOC) of the order of 0.4 eV, which leads to the formation of novel J eff = 1/2 and J eff = 3/2 states 1 . The combination of this strong SOC and slight lattice distortions has recently drawn attention to SrIrO 3 as a promising candidate to realise topological (semi)metallic phases [2][3][4][5][6] . Perovskite SrIrO 3 is a member of the Pbnm space group, featuring two glide planes and a mirror plane which are crucial in determining its band structure 7,8 .…”

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Epitaxial growth and thermodynamic stability of SrIrO3/SrTiO3 heterostructures

Groenendijk

Manca

Mattoni

et al. 2016

Applied Physics Letters

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Obtaining high-quality thin films of 5d transition metal oxides is essential to explore the exotic semimetallic and topological phases predicted to arise from the combination of strong electron correlations and spin-orbit coupling. Here, we show that the transport properties of SrIrO 3 thin films, grown by pulsed laser deposition, can be optimized by considering the effect of laser-induced modification of the SrIrO 3 target surface. We further demonstrate that bare SrIrO 3 thin films are subject to degradation in air and are highly sensitive to lithographic processing. A crystalline SrTiO 3 cap layer deposited in-situ is effective in preserving the film quality, allowing us to measure metallic transport behavior in films with thicknesses down to 4 unit cells. In addition, the SrTiO 3 encapsulation enables the fabrication of devices such as Hall bars without altering the film properties, allowing precise (magneto)transport measurements on micro-and nanoscale devices.The intriguing electronic structure of 5d transition metal oxides arises from the delicate interplay between competing energy scales. Iridium compounds display a particularly large spin-orbit coupling (SOC) of the order of 0.4 eV, which leads to the formation of novel J eff = 1/2 and J eff = 3/2 states 1 . The combination of this strong SOC and slight lattice distortions has recently drawn attention to SrIrO 3 as a promising candidate to realise topological (semi)metallic phases 2-6 . Perovskite SrIrO 3 is a member of the Pbnm space group, featuring two glide planes and a mirror plane which are crucial in determining its band structure 7,8 . At atmospheric pressure, SrIrO 3 crystallises in a 6H-hexagonal structure, while its perovskite form can be obtained by applying high pressure and temperature and subsequent quenching 9 . This requires particular care due to the high volatility of iridium oxides and competition with other phases such as Sr 2 IrO 4 and Sr 3 Ir 2 O 7 10 . These extreme conditions can be avoided by resorting to thin film growth, where epitaxial constraint can be used to synthesize perovskite SrIrO 3 films 8,[11][12][13][14][15][16][17][18][19] . SrIrO 3 films are generally grown by pulsed laser deposition (PLD), where a relatively high oxygen pressure (0.01 -1 mbar) is required to control the Ir oxidation state19 . In such high pressure conditions, the interaction dynamics between the expanding plume and the background gas are very complex 20 . This can readily result in slight deviations from the ideal film stoichiometry, which can strongly affect the electrical properties through the formation of crystal defects. Electrical transport measurements of SrIrO 3 films reported in literature show a rather large variability, which brings to question the role of disorder and secondary phase formation on a) Electronic mail: d.j.groenendijk@tudelft.nl the film properties [13][14][15]21,22 .In this Letter, we identify key issues related to the growth and stability of SrIrO 3 thin films and study how these affect their electrical properties. F...

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Topological crystalline semimetals in nonsymmorphic lattices

Cited by 85 publications

References 43 publications

Tripartite entangled plaquette state in a cluster magnet

Tripartite entangled plaquette state in a cluster magnet

Hourglass fermion surface states in stacked topological insulators with nonsymmorphic symmetry

Epitaxial growth and thermodynamic stability of SrIrO3/SrTiO3 heterostructures

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