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The discovery of topological phases has recently led to a paradigm shift in condensed matter physics, and facilitated breakthroughs in engineered photonics and acoustic metamaterials. Topological insulators (TIs) enable the generation of…

The development of nanomaterials with a large nonlinear susceptibility is essential for nonlinear nanophotonics. We show that transition-metal-dichalcogenide (TMD) nanotriangles have a large effective second-order susceptibility…

Optics · Physics 2021-04-07 F. Karimi , S. Soleimanikahnoj , I. Knezevic

Competition and cooperation among orders is at the heart of many-body physics in strongly correlated materials and leads to their rich physical properties. It is crucial to investigate what impact many-body physics has on extreme nonlinear…

Strongly Correlated Electrons · Physics 2022-04-06 K. Uchida , G. Mattoni , S. Yonezawa , F. Nakamura , Y. Maeno , K. Tanaka

We introduce three numerical methods for characterizing the topological phases of three-dimensional multiband Hubbard models based on twisted boundary conditions, Wilson loops, as well as the local topological marker. We focus on the…

Quantum Gases · Physics 2021-05-21 Bernhard Irsigler , Jun-Hui Zheng , Fabian Grusdt , Walter Hofstetter

The interplay between crystalline symmetry and band topology gives rise to unprecedented lower-dimensional boundary states in higher-order topological insulators (HOTIs). However, the measurement of the topological invariants of HOTIs…

Mesoscale and Nanoscale Physics · Physics 2024-12-06 Ling Lin , Chaohong Lee

We theoretically investigate the second harmonic generation (SHG) of topological insulator surface states in a perpendicular magnetic field. Our theory is based on the microscopic expression of the second-order magneto-optical conductivity…

Mesoscale and Nanoscale Physics · Physics 2024-11-27 Kainan Chang , Muhammad Zubair , Jin Luo Cheng , Wang-Kong Tse

Triangular lattice quasi-two-dimensional Mott insulators based on BEDT-TTF molecule and its analogies present a possibility to produce exotic phases by coupling charge and spin degrees of freedom. In this work we discuss magnetic properties…

In Mott insulators with a half-filled $t_{2g}$ shell the Hund's rule coupling induces a spin-3/2 orbital-singlet ground state. The spin-orbit interaction is not expected to qualitatively impact low-energy degrees of freedom in such systems.…

Strongly Correlated Electrons · Physics 2023-08-28 Leonid V. Pourovskii

We investigate the resonant two-magnon Raman scattering in the two-dimensional (2D) and ladder-type Mott insulators by using a half-filled Hubbard model in the strong coupling limit. By performing numerical diagonalization calculations for…

Strongly Correlated Electrons · Physics 2009-11-07 Hiroaki Onodera , Takami Tohyama , Sadamichi Maekawa

We provide the first unbiased evidence for a higher-order topological Mott insulator in three dimensions by numerically exact quantum Monte Carlo simulations. This insulating phase is adiabatically connected to a third-order topological…

Strongly Correlated Electrons · Physics 2021-10-26 Yuichi Otsuka , Tsuneya Yoshida , Koji Kudo , Seiji Yunoki , Yasuhiro Hatsugai

We present exactly solvable examples that topological Mott insulators can emerge from topologically trivial states due to strong interactions between atoms for atomic mixtures trapped in one-dimensional optical superlattice systems. The…

Quantum Gases · Physics 2013-07-22 Zhihao Xu , Shu Chen

A puzzling phenomenon has been recently revealed in terahertz nonlinear optical response experiments: A third harmonic generation (THG) signal, identified only in the superconducting (SC) phase in a conventional BCS superconductor, is found…

Strongly Correlated Electrons · Physics 2026-02-11 Xiang Li , Zheng-Yu Weng

We study the optical response of a Mott Hubbard system in the framework of the half--filled Extended Hubbard Model using the Density Matrix Renormalization Group (DMRG) method. We discuss the appearance of excitonic features inside the…

Strongly Correlated Electrons · Physics 2007-05-23 S. S. Kancharla , C. J. Bolech

We study nonlinear effects in two-dimensional photonic metasurfaces supporting topologically-protected helical edge states at the nanoscale. We observe strong third-harmonic generation mediated by optical nonlinearities boosted by…

We investigate the optical properties of one-dimensional (1D) dimerized Mott insulators using the 1D dimerized extended Hubbard model. Numerical calculations and a perturbative analysis from the decoupled-dimer limit clarify that there are…

Strongly Correlated Electrons · Physics 2009-11-13 Nobuya Maeshima , Kenji Yonemitsu

We calculate the rate of creation of double occupancies in a 3D Fermionic Mott insulator near half-filling by modulation of optical lattice potential. At high temperatures, incoherent holes lead to a broad response peaked at the Hubbard…

Other Condensed Matter · Physics 2015-05-13 Rajdeep Sensarma , David Pekker , Mikhail D. Lukin , Eugene Demler

To study excitonic effects on high-harmonic generation (HHG) in Mott insulators, we investigate pumped nonequilibrium dynamics in the one-dimensional extended Hubbard model. By employing time-dependent calculations based on the exact…

Strongly Correlated Electrons · Physics 2022-06-14 Mina Udono , Koudai Sugimoto , Tatsuya Kaneko , Yukinori Ohta

Femtosecond relaxation of photo-excited quasiparticles in the one dimensional Mott insulator ET-F2TCNQ are measured as a function of external pressure, which is used to tune the electronic structure. By fitting the static optical properties…

SU(N) Hubbard models exhibit a rich variety of phases, which may be realized through quantum simulation with ultracold atomic gases in optical lattices. In this work we study the Mott insulating phases of the SU(3) Hubbard model at…

Strongly Correlated Electrons · Physics 2025-06-18 Stijn V. Kleijweg , Philippe Corboz

Collective excitations contain rich information about photoinduced transient states in correlated systems. In a Mott insulator, charge degrees of freedom are frozen, but can be activated by photodoping. The energy-momentum distribution of…

Strongly Correlated Electrons · Physics 2020-04-23 Yao Wang , Yuan Chen , Chunjing Jia , Brian Moritz , Thomas P. Devereaux