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For two-dimensional Lieb lattice, while intrinsic spin-orbit coupling is responsible for opening the gap that exhibits the quantum spin Hall effect, topological phase transitions are driven by a real next-nearest-neighbor (NNN) hopping. In…

Disordered Systems and Neural Networks · Physics 2026-01-19 Yue Heng Liu , Zi-Xiang Hu , Qi Li

We consider the model of strongly-correlated system of electrons described by an extended Falicov-Kimball Hamiltonian where the stability of some axial and diagonal striped phases was proved. Introducing a next-nearest-neighbor hopping,…

Strongly Correlated Electrons · Physics 2009-11-11 V. Derzhko

Besides the chemical constituents, it is the lattice geometry that controls the most important material properties. In many interesting compounds, the arrangement of elements leads to pronounced anisotropies, which reflect into a varying…

Strongly Correlated Electrons · Physics 2021-01-27 Benjamin Klebel , Thomas Schäfer , Alessandro Toschi , Jan M. Tomczak

We present a detailed study of the spin Hall conductivity on a two-dimensional triangular lattice in the presence of Rashba spin-orbit coupling. In particular, we focus part of our attention on the effect of the anisotropy of the nearest…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Paul Wenk , Stefan Kettemann , Georges Bouzerar

Adsorbates on graphene can create resonances that lead to efficient electron scattering and strongly affect the electronic conductivity. Therefore a proper description of these resonances is important to get a good insight of their effect…

Mesoscale and Nanoscale Physics · Physics 2014-01-07 Guy Trambly de Laissardière , Didier Mayou

We investigate the magneto-conductance (MC) anisotropy in the variable range hopping regime, caused by quantum interference effects in three dimensions. When no spin-orbit scattering is included, there is an increase in the localization…

Condensed Matter · Physics 2009-10-28 Ernesto Medina , Mehran Kardar , Rafael Rangel

Allowing a single electron to hop to next-nearest neighbours (NNN) in addition to the closest atomic sites in the Holstein model, a modified Trugman method is applied to exactly calculate the effect on the polaronic effective mass in one,…

Strongly Correlated Electrons · Physics 2016-09-07 Carl J. Chandler , Christian Prosko , F. Marsiglio

It have been demonstrated that the zigzag honeycomb nanoribbons exhibit an intriguing edge magnetism. Here the effect of the anisotropy on the edge magnetism in zigzag honeycomb nanoribbons is investigated by using two kinds of large-scale…

Strongly Correlated Electrons · Physics 2019-05-21 Baoyue Li , Yifeng Cao , Lin Xu , Guang Yang , Zhi Ma , Miao Ye , Tianxing Ma

We calculate the magnetic phase diagram of the Hubbard model for a Bethe lattice with nearest neighbour (NN) hopping $t_1$ and next nearest neighbour (NNN) hopping $t_2$ in the limit of infinite coordination. We use the amplitude $t_2/t_1$…

Strongly Correlated Electrons · Physics 2015-05-13 Robert Peters , Thomas Pruschke

We report combined first-principle and tight-binding (TB) calculations to simulate the effects of chemical edge modifications on structural and electronic properties. The C-C bond lengths and bond angles near the GNR edge have considerable…

Materials Science · Physics 2007-05-23 Z. F. Wang , Qunxiang Li. Huaixiu Zheng , Hao Ren , Haibin Su , Q. W. Shi , Jie Chen

In typical flat-band models, defined as nearest-neighbor tight-binding models, flat bands are usually pinned to the special energies, such as top or bottom of dispersive bands, or band-crossing points. In this paper, we propose a simple…

Strongly Correlated Electrons · Physics 2019-06-12 Tomonari Mizoguchi , Masafumi Udagawa

Correlated electron systems with competing interactions provide a valuable platform for examining exotic magnetic phases. Theoretical models often focus on nearest-neighbor interactions, although long-range interactions can have a…

Strongly Correlated Electrons · Physics 2025-03-28 Sudip Mandal , Sandip Halder , Kalpataru Pradhan

In this paper we study the effect of next-nearest-neighbor hopping on the dynamics of a single hole in an antiferromagnetic (N\'{e}el) background. In the framework of large dimensions the Green function of a hole can be obtained exactly.…

Condensed Matter · Physics 2009-10-22 Avraham Schiller , Pradeep Kumar , Rainer Strack , Dieter Vollhardt

We propose a size effect which leads to the negative magnetoresistance in granular metal-insulator materials in which the hopping between two nearest neighbor clusters is the main transport mechanism. We show that the hopping probability…

Condensed Matter · Physics 2007-05-23 X. R. Wang , X. C. Xie

The equilibrium properties and interminiband transitions for Hartree-interacting two-dimensional electron gas in a one-dimensional chain of planar quantum rings subjected to a transverse homogeneous magnetic field are examined theoretically…

Mesoscale and Nanoscale Physics · Physics 2024-10-03 Armen Harutyunyan , Vram Mughnetsyan , Albert Kirakosyan , Vidar Gudmundsson

We present exact results on certain electronic properties of an anisotropic Sierpinski gasket fractal. We use a tight binding Hamiltonian and work within the formalism of a real space renormalization group (RSRG) method. The anisotropy is…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Supriya Jana , Arunava Chakrabarti , Samar Chattopadhyay

We present a detailed calculation of the magnetic couplings between nearest-neighbor and next-nearest-neighbor coppers in the edge-sharing geometry, ubiquitous in many cuprates. In this geometry, the interaction between nearest neighbor…

Materials Science · Physics 2009-10-31 S. Tornow , O. Entin-Wohlman , A. Aharony

We determine theoretically the effect of spin-orbit coupling on the magnetic excitation spectrum of itinerant multi-orbital systems, with specific application to iron-based superconductors. Our microscopic model includes a realistic…

Superconductivity · Physics 2018-07-24 Daniel D. Scherer , Brian M. Andersen

The effects of electron interaction on the magnetoconductance of graphene nanoribbons (GNRs) are studied within the Hartree approximation. We find that a perpendicular magnetic field leads to a suppression instead of an expected improvement…

Mesoscale and Nanoscale Physics · Physics 2014-02-12 A. A. Shylau , I. V. Zozoulenko , H. Xu , T. Heinzel

We study the 3D Hubbard model with anisotropic nearest neighbor tunneling amplitudes using the dynamical cluster approximation and compare the results with a quantum simulation experiment using ultracold fermions in an optical lattice,…

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