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A detailed Linear Combination of Atomic Orbitals (LCAO) tight-binding model is developed for the layered High-Temperature Superconductor cuprates. The band structure of these materials is described using a sigma-band Hamiltonian employing…

Superconductivity · Physics 2009-11-07 T. M. Mishonov , J. P. Wallington , E. S. Penev , J. O. Indekeu

The canonical front form Hamiltonian for non-Abelian SU(N) gauge theory in 3+1 dimensions is mapped non-perturbatively on an effective Hamiltonian which acts only in the Fock space of a quark and an antiquark. The approach is based on the…

High Energy Physics - Theory · Physics 2007-05-23 H. C. Pauli

We start from a six-band model describing the transition-metal t2g orbitals of half-metallic double perovskite systems, such as Sr2FeMoO6, in which only one of the transition metal ions (Fe) contains important intratomic repulsion Ufe. By…

Strongly Correlated Electrons · Physics 2009-11-07 P. Petrone , A. A. Aligia

We study the low-lying energy clustering patterns of quantum antiferromagnets with p sublattices (in particular p=4). We treat each sublattice as a large spin, and using second-order degenerate perturbation theory, we derive the effective…

Strongly Correlated Electrons · Physics 2009-11-07 N. G. Zhang , C. L. Henley , C. Rischel , K. Lefmann

We investigate heavy fermion behaviors in the vanadium spinel LiV_2O_4. We start from a three-orbital Hubbard model on the pyrochlore lattice and derive its low-energy effective Hamiltonian by an approach of real-space renormalization group…

Strongly Correlated Electrons · Physics 2009-11-13 Kazumasa Hattori , Hirokazu Tsunetsugu

This paper presents a renormalization approach to many-particle systems. By starting from a bare Hamiltonian ${\cal H}= {\cal H}_0 +{\cal H}_1$ with an unperturbed part ${\cal H}_0$ and a perturbation ${\cal H}_1$,we define an effective…

Strongly Correlated Electrons · Physics 2009-11-07 K. W. Becker , A. Huebsch , T. Sommer

The present paper reviews recent achievements on the ab initio determination of effective model Hamiltonians aimed at the description of strongly correlated materials. These models (Heisenberg, $t-J$, extended Hubbard, Kondo, etc) are…

Strongly Correlated Electrons · Physics 2007-05-23 Marie-Bernadette Lepetit

In this paper a multi-band envelope-function Hamiltonian for lattice-matched semiconductor heterostructures is derived from first-principles norm-conserving pseudopotentials. The theory is applicable to isovalent or heterovalent…

Materials Science · Physics 2007-05-23 Bradley A. Foreman

Based on experimental data on the newly synthesized iron-based superconductors and the relevant band structure calculations, we propose a minimal two-band BCS-type Hamiltonian with the interband Hubbard interaction included. We illustrate…

Superconductivity · Physics 2009-11-13 Q. Han , Y. Chen , Z. D. Wang

We present a self-consistent approach for computing the correlated quasiparticle spectrum of charged excitations in iterative $\mathcal{O}[N^5]$ computational time. This is based on the auxiliary second-order Green's function approach [O.…

Chemical Physics · Physics 2020-10-05 Oliver J. Backhouse , George H. Booth

Although iron-based superconductors are multi-orbital systems with complicated band structures, we demonstrate that the low energy physics which is responsible for high-$T_c$ superconductivity is essentially governed by one effective…

Superconductivity · Physics 2012-06-05 Jiangping Hu , Ningning Hao

We derive the effective single-band Hamiltonian in the flat NiO$_2$ planes for nickelate compounds Nd$_{1-x}$Sr$_x$NiO$_2$. We first implement the first-principles calculation to study electronic structures of nickelates using the…

Superconductivity · Physics 2020-03-04 Hu Zhang , Lipeng Jin , Shanmin Wang , Bin Xi , Xingqiang Shi , Fei Ye , Jia-Wei Mei

We examine the origin of the formation of narrow bands in LK-99 (Pb$_{9}$Cu(PO$_4$)$_6$O) and the parent compound without the Cu doping using density functional theory calculations and model Hamiltonian studies. Explicit analytical…

Superconductivity · Physics 2023-08-28 Mayank Gupta , S. Satpathy , B. R. K. Nanda

Quantum dot hybrid qubits formed from three electrons in double quantum dots represent a promising compromise between high speed and simple fabrication for solid state implementations of single qubit and two qubits quantum logic ports. We…

Quantum Physics · Physics 2018-09-05 E. Ferraro , M. De Michielis , G. Mazzeo , M. Fanciulli , E. Prati

High-temperature superconductivity occurs in strongly correlated materials such as copper oxides and iron-based superconductors. Numerous experimental and theoretical works have been done to identify the key parameters that induce…

Superconductivity · Physics 2023-05-02 Kota Ido , Yuichi Motoyama , Kazuyoshi Yoshimi , Takahiro Misawa

A generalised extraction procedure for magnetic interactions using effective Hamiltonians is presented that is applicable to systems with more than two sites featuring local spins $S_i \geq 1$. To this end, closed, non-recursive expressions…

Chemical Physics · Physics 2025-06-03 Arta A. Safari , Nikolay A. Bogdanov

We derive a low-energy effective $\mathbf{k}\cdot\mathbf{p}$ Hamiltonians for monolayer C$_{3}$N at the $ \Gamma $ and $ M $ points of the Brillouin zone where the band edge in the conduction and valence band can be found. Our analysis of…

Mesoscale and Nanoscale Physics · Physics 2025-04-04 Mohsen Shahbazi , Jamal Davoodi , Arash Boochani , Hadi Khanjani , Andor Kormányos

We present studies of an effective model which is a simple generalization of the standard model of a local pair superconductor with on-site pairing (i.e., the model of hard core bosons on a lattice) to the case of finite pair binding…

Strongly Correlated Electrons · Physics 2013-07-30 Konrad Kapcia

Accurate orthogonal tight-binding Hamiltonians are constructed for ferromagnetic SrRuO$_3$ and the layered perovskite superconductor, Sr$_2$RuO$_4$ by fitting to all-electron full-potential local density band structures obtained by the…

Materials Science · Physics 2009-10-31 I. I. Mazin , D. A. Papaconstantopoulos , D. J. Singh

We theoretically explore the electronic structure of holes in cylindrical Germanium/Silicon core/shell nanowires using a perturbation theory approach. The approach yields a set of interpretable and transferable effective low-energy models…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 Sebastian Miles , A. Mert Bozkurt , Dániel Varjas , Michael Wimmer