Inverse-current quantum electro-oscillations in a charge-density wave insulator

Kavli Affiliate: Yi Zhou | First 5 Authors: Tian Le, Ruiyang Jiang, Linfeng Tu, Renji Bian, Yiwen Ma | Summary: Quantum magneto-oscillations have long been a vital subject in condensed matter physics, with ubiquitous quantum phenomena and diverse underlying physical mechanisms. Here, we demonstrate the intrinsic and reproducible DC-current-driven quantum electro-oscillations with a periodicity in […]


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Austere Matrices, Austere Submanifolds and Dupin Hypersurfaces

Kavli Affiliate: Yi Zhou | First 5 Authors: Jianquan Ge, Jianquan Ge, , , | Summary: Motivated by Bryant’s research on austere subspaces and Cartan’s isoparametric hypersurfaces with 3 distinct principal curvatures, we construct three families of austere submanifolds with flat normal bundle in unit spheres. From these examples we find three irreducible proper Dupin […]


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Chiral spin liquid in a $mathbb{Z}_3$ Kitaev model

Kavli Affiliate: Cheng Peng | First 5 Authors: Li-Mei Chen, Tyler D. Ellison, Meng Cheng, Peng Ye, Ji-Yao Chen | Summary: We study a $mathbb{Z}_3$ Kitaev model on the honeycomb lattice with nearest neighbor interactions. Based on matrix product state simulations and symmetry considerations, we find evidence that, with ferromagnetic isotropic couplings, the model realizes […]


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Chiral spin liquid in a $mathbb{Z}_3$ Kitaev model

Kavli Affiliate: Cheng Peng | First 5 Authors: Li-Mei Chen, Tyler D. Ellison, Meng Cheng, Peng Ye, Ji-Yao Chen | Summary: We study a $mathbb{Z}_3$ Kitaev model on the honeycomb lattice with nearest neighbor interactions. Based on matrix product state simulations and symmetry considerations, we find evidence that, with ferromagnetic isotropic couplings, the model realizes […]


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Variational Tensor Wavefunctions for the Interacting Quantum Spin Hall Phase

Kavli Affiliate: Shenghan Jiang | Summary:The quantum spin hall (QSH) phase, also known as the 2D topological insulator, is characterized by protected helical edge modes arising from time reversal symmetry. While initially proposed for band insulators, this phase can also manifest in strongly-correlated systems where conventional band theory fails. To overcome the challenge of simulating […]


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Two-dimensional Heisenberg models with materials-dependent superexchange interactions

Kavli Affiliate: Bo Gu | First 5 Authors: Jia-Wen Li, Zhen Zhang, Jing-Yang You, Bo Gu, Gang Su | Summary: The two-dimensional (2D) van der Waals ferromagnetic semiconductors, such as CrI$_3$ and Cr$_2$Ge$_2$Te$_6$, and the 2D ferromagnetic metals, such as Fe$_3$GeTe$_2$ and MnSe$_2$, have been obtained in recent experiments and attracted a lot of attentions. […]


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Global well-posedness for radial extremal hypersurface equation in $left(1+3 right)$-dimensional Minkowski space-time in critical Sobolev space

Kavli Affiliate: Yi Zhou | First 5 Authors: Sheng Wang, Yi Zhou, , , | Summary: In this article, we prove the global well-posedness in the critical Sobolev space $H_{rad}^2left(mathbb{R}^2right) times H_{rad}^1 left(mathbb{R}^2right)$ for the radial time-like extremal hypersurface equation in $left(1+3right)$- dimensional Minkowski space-time. This is achieved by deriving a new div-curl type lemma […]


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Null controllability of damped nonlinear wave equation

Kavli Affiliate: Yi Zhou | First 5 Authors: Yan Cui, Yan Cui, , , | Summary: In this paper, we investigate the null controllability of nonlinear wave systems. Initially, we employ a combination of the Galerkin method and a fixed point theorem to establish the null controllability for semi-linear wave equations with nonlinear functions that […]


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Causal shadow and non-local modular flow: from degeneracy to perturbative genesis by correlation

Kavli Affiliate: Huajia Wang | First 5 Authors: Liangyu Chen, Huajia Wang, , , | Summary: Causal shadows are bulk space-time regions between the entanglement wedges and the causal wedges, their existence encodes deep aspects of the entanglement wedge reconstruction in the context of subregion duality in AdS/CFT. In this paper, we study the perturbation […]


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$d$-wave Superconductivity, Pseudogap, and the Phase Diagram of $t$-$t’$-$J$ Model at Finite Temperature

Kavli Affiliate: Gang Su | First 5 Authors: Dai-Wei Qu, Bin-Bin Chen, Xin Lu, Qiaoyi Li, Shou-Shu Gong | Summary: Recently, a robust $d$-wave superconductivity has been unveiled in the ground state of the 2D $t$-$t’$-$J$ model — with both nearest-neighbor ($t$) and next-nearest-neighbor ($t’$) hoppings — through the density matrix renormalization group calculations in […]


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