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This thesis predicts that two types of material families could be a solution to the challenges in spintronics: complex oxides and bismuth based materials. We derive a general approach for constructing an effective spin-orbit Hamiltonian,…

Mesoscale and Nanoscale Physics · Physics 2015-11-18 Cüneyt Şahin

Motivated by recent neutron and x-ray observations in V$_2$O$_3$, we derive the effective Hamiltonian in the strong coupling limit of an Hubbard model with three degenerate t_{2g} states containing two electrons coupled to spin S = 1, and…

Strongly Correlated Electrons · Physics 2025-04-14 S. Di Matteo , N. B. Perkins , C. R. Natoli

We present an ab initio derivation method for effective low-energy Hamiltonians of material with strong spin-orbit interactions. The effective Hamiltonian is described in terms of the Wannier function in the spinor form, and effective…

We discuss a general framework to address spin decoherence resulting from fluctuations in a spin Hamiltonian. We performed a systematic study on spin decoherence in the compound K$_6$[V$_{15}$As$_6$O$_{42}$(D$_2$O)] $\cdot$ 8D$_2$O, using…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 M. Martens , G. Franco , N. S. Dalal , S. Bertaina , I. Chiorescu

The nature of the effective spin Hamiltonian and magnetic order in the honeycomb iridates is explored by considering a trigonal crystal field effect and spin-orbit coupling. Starting from a Hubbard model, an effective spin Hamiltonian is…

Strongly Correlated Electrons · Physics 2012-07-10 Subhro Bhattacharjee , Sung-Sik Lee , Yong Baek Kim

By utilizing a multi-orbital periodic Anderson model with parameters obtained from \textit{ab initio} band structure calculations, combined with degenerate perturbation theory, we derive effective Kondo-Heisenberg and spin Hamiltonians that…

When topological insulators possess rotational symmetry their spin lifetime is tied to the scattering time. We show that in anisotropic TIs this tie can be broken and the spin lifetime can be very large. Two different mechanisms can obtain…

Mesoscale and Nanoscale Physics · Physics 2012-11-19 Vincent E. Sacksteder , Stefan Kettemann , QuanSheng Wu , Xi Dai , Zhong Fang

We derive a spin chain Hamiltonian from a fast spinning string in the marginally deformed AdS(3)X S(3). This corresponds to a closed trajectory swept out by the SU(2) or SL(2) spin vector on the surface of one-parameter deformed two-sphere…

High Energy Physics - Theory · Physics 2008-11-26 Wen-Yu Wen

Understanding the quantum dynamics of spin defects and their coherence properties requires accurate modeling of spin-spin interaction in solids and molecules, for example by using spin Hamiltonians with parameters obtained from…

Materials Science · Physics 2021-02-02 Krishnendu Ghosh , He Ma , Mykyta Onizhuk , Vikram Gavini , Giulia Galli

A general concept for the derivation of symmetry-based pseudo spin Hamiltonians is described. It systematically bridges the gap between the atomistic basis and various pseudo spin models presented in literature. It thus allows the…

Condensed Matter · Physics 2007-05-23 Boris Neubert , Michel Pleimling , Rolf Siems

We present a systematic derivation of effective lattice spin Hamiltonians derived from a rotationally invariant multi-orbital Hubbard model including a term ensuring Hund's rule coupling. The Hamiltonians are derived down-folding the…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 Markus Hoffmann , Stefan Blügel

Doped ZnO is a promising material for spintronics applications. For such applications, it is important to understand the spin dynamics and particularly the spin coherence of this II-VI semiconductor. The spin lifetime $\tau_{s}$ has been…

Materials Science · Physics 2009-11-13 N. J. Harmon , W. O. Putikka , R. Joynt

We address the low-energy effective Hamiltonian of electron doped d0 perovskite semiconductors in cubic and tetragonal phases using the k*p method. The Hamiltonian depends on the spin-orbit interaction strength, on the temperature-dependent…

Materials Science · Physics 2013-05-29 R. Bistritzer , G. Khalsa , A. H. MacDonald

The effective Hamiltonian for perovskite titanates is derived by taking into account the three-fold degeneracy of $t_{2g}$ orbitals and the strong electron-electron interactions. The magnetic and orbital ordered phases are studied in the…

Strongly Correlated Electrons · Physics 2009-11-07 S. Ishihara , T. Hatakeyama , S. Maekawa

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

Two dimensional electron gases based on SrTiO$_3$ are an intriguing platform for exploring mesoscopic superconductivity combined with spin-orbit coupling, offering electrostatic tunability from insulator to metal to superconductor within a…

Mesoscale and Nanoscale Physics · Physics 2021-10-25 Evgeny Mikheev , Ilan T. Rosen , Marc A. Kastner , David Goldhaber-Gordon

Spin-orbit coupling in crystals is known to lead to unusual direction dependent exchange interactions, however understanding of the consequeces of such effects in molecular crystals is incomplete. Here we perform four component relativistic…

Strongly Correlated Electrons · Physics 2017-04-19 A. C. Jacko , A. L. Khosla , J. Merino , B. J. Powell

A systematic method is presented for constructing effective Hamiltonians for general phonon-related structural transitions. The key feature is the application of group theoretical methods to identify the subspace in which the effective…

mtrl-th · Physics 2009-10-28 K. M. Rabe , U. V. Waghmare

We derive a spin-orbital Hamiltonian for a triangular lattice of e_g orbital degenerate (Ni^{3+}) transition metal ions interacting via 90 degree superexchange involving (O^{2-}) anions, taking into account the on-site Coulomb interactions…

Strongly Correlated Electrons · Physics 2009-11-11 Albert J. W. Reitsma , Louis F. Feiner , Andrzej M. Oles'

Heterostructures made of transition metal oxides are new tailor-made materials which are attracting much attention. We have constructed a 6-band k.p Hamiltonian and used it within the envelope function method to calculate the subband…

Mesoscale and Nanoscale Physics · Physics 2014-01-09 L. W. van Heeringen , G. A. de Wijs , A. McCollam , J. C. Maan , A. Fasolino
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