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Twisted two-dimensional bi-layers offer exquisite control on the electronic bandstructure through the interlayer rotation and coupling, enabling magic-angle flat-band superconductivity and moir\'e excitons. Here, we demonstrate how…

Rich functionalities of transition-metal oxides and their interfaces bear an enormous technological potential. Its realization in practical devices requires, however, a significant improvement of yet relatively low electron mobility in…

We present a systematic derivation of a minimal five-band tight-binding model for the description of the electronic structure of the recently discovered quasi one-dimensional superconductor K2Cr3As3. Taking as a reference the…

We present a theory of the collective orbital excitation termed orbital wave in perovskite titanates and vanadates with the triply degenerate $t_{2g}$ orbitals. The dispersion relations of the orbital waves for the orbital ordered LaVO$_3$,…

Strongly Correlated Electrons · Physics 2009-11-10 Sumio Ishihara

Typical Wannier-function downfolding starts with a mean-field or density functional set of bands to construct the Wannier functions. Here we carry out a controlled approach, using DMRG-computed natural orbital bands, to downfold the…

Strongly Correlated Electrons · Physics 2023-10-25 Shengtao Jiang , Douglas J. Scalapino , Steven R. White

Transition metal oxides with a wide variety of electronic and magnetic properties offer an extraordinary possibility to be a platform for developing future electronics based on unconventional quantum phenomena, for instance, the topology.…

We study the orbital magnetic quadrupole moment (MQM) in three dimensional higher-order topological phases. Much like electric quadrupole moment, which is associated with a charge response on the boundaries of a finite sample, the diagonal…

Mesoscale and Nanoscale Physics · Physics 2022-11-17 Jacopo Gliozzi , Mao Lin , Taylor L. Hughes

We initiate the axiomatic study of affine oriented matroids (AOMs) on arbitrary ground sets, obtaining fundamental notions such as minors, reorientations and a natural embedding into the frame work of Complexes of Oriented Matroids. The…

Combinatorics · Mathematics 2024-04-09 Emanuele Delucchi , Kolja Knauer

The construction of exponentially localized Wannier functions for a set of bands requires a choice of Bloch-like functions that span the space of the bands in question, and are smooth and periodic functions of k in the entire Brillouin…

Mesoscale and Nanoscale Physics · Physics 2016-02-03 Georg W. Winkler , Alexey A. Soluyanov , Matthias Troyer

We provide an exact construction of interaction Hamiltonians on a one-dimensional lattice which grow as a polynomial multiplied by an exponential with the lattice site separation as a matrix product operator (MPO), a type of one-dimensional…

Quantum Physics · Physics 2020-06-24 Michael L. Wall

One of the main challenges in 3d-3d correspondence is that no existent approach offers a complete description of 3d $N=2$ SCFT $T[M_3]$ --- or, rather, a "collection of SCFTs" as we refer to it in the paper --- for all types of 3-manifolds…

High Energy Physics - Theory · Physics 2020-09-29 Sungbong Chun , Sergei Gukov , Sunghyuk Park , Nikita Sopenko

Higher-order topological insulators have been introduced in the precursory Benalcazar-Bernevig-Hughes quadrupole model, but no electronic compound has been proposed to be a quadrupole topological insulator (QTI) yet. In this work, we…

Materials Science · Physics 2022-09-08 Zhaopeng Guo , Junze Deng , Yue Xie , Zhijun Wang

We develop a theoretical model, relying on the well established sp3 bond-orbital theory, to describe the strain-induced $\chi^{(2)}$ in tetrahedrally coordinated centrosymmetric covalent crystals, like silicon. With this approach we are…

Materials Science · Physics 2016-05-04 Pedro Damas , Delphine Marris-Morini , Eric Cassan , Laurent Vivien

Twistronics has received much attention as a new method to manipulate the properties of 2D van der Waals structures by introducing moir\'e patterns through a relative rotation between two layers. Here we begin a theoretical exploration of…

Orbital torque (OT) offers a highly efficient way for electrical magnetization manipulation. However, its potential in the emerging field of flexible spintronics remains largely unexplored. Here, we demonstrate a flexible and robust OT…

Materials Science · Physics 2025-08-27 Liguang Gong , Jian Song , Bin Lao , Run-Wei Li , Zhiming Wang

Moire engineering as a configuration method to twist van der Waals materials has delivered a series of advances in electronics, magnetics and optics. Yet these advances stem from peculiar moire superlattices which form at small specific…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 M. Chen , X. Lin , T. Dinh , Z. Zheng , J. Shen , Q. Ma , H. Chen , P. Jarillo-Herrero , S. Dai

We consider the orbital ordering in LaMnO3 and similar systems, proceeding from the band picture. We show that for the realistic magnetic structure of A-type there exists a complete nesting betweeen two e_g-bands. As a result there occurs…

Strongly Correlated Electrons · Physics 2009-11-10 D. V. Efremov , D. I. Khomskii

Maximally-localized Wannier functions are quantum wavefunctions resembling atomic orbitals that are used to describe electrons in condensed matter. Since their introduction in 1997, these functions have become ubiquitous in ab initio…

Computational Physics · Physics 2026-04-09 Sabyasachi Tiwari , Bruno Cucco , Viet-Anh Ha , Feliciano Giustino

Levin-Wen models are microscopic spin models for topological phases of matter in (2+1)-dimension. We introduce a generalization of such models to (3+1)-dimension based on unitary braided fusion categories, also known as unitary premodular…

Strongly Correlated Electrons · Physics 2011-04-29 Kevin Walker , Zhenghan Wang

Spin-orbit coupling in organic crystals is responsible for many spin-relaxation phenomena, going from spin diffusion to intersystem crossing. With the goal of constructing effective spin-orbit Hamiltonians to be used in multiscale…

Materials Science · Physics 2017-03-01 Subhayan Roychoudhury , Stefano Sanvito