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Haldane's tight-binding model, which describes a Chern insulator in a two-dimensional hexagonal lattice, exhibits quantum Hall conductivity without an external magnetic field. Here, we explore an $\alpha -T_{3}$ lattice subjected to…

Mesoscale and Nanoscale Physics · Physics 2025-12-23 Othmane Benhaida , El Hassan Saidi , L. B. Drissi

Scaling aspects of Gaussian topological phase-transitions in quantum spin chains are investigated using the prototypical one-dimensional spin-1 XXZ Heisenberg model with uniaxial single-ion anisotropy $D$. This model presents a critical…

Statistical Mechanics · Physics 2021-07-14 Luan M. Veríssimo , Maria S. S. Pereira , Marcelo L. Lyra

We study the phase diagram of coupled spin-1/2 chains with bilinear and (chiral) three-spin exchange interactions in a magnetic field. The model is soluble on a one-parametric line in the space of coupling constants connecting the limiting…

Strongly Correlated Electrons · Physics 2009-10-31 Holger Frahm , Claus Rödenbeck

The realization and detection of topological phases with ultracold atomic gases is at the frontier of current theoretical and experimental research. Here, we identify cold atoms in optical ladders subjected to synthetic magnetic fields as…

Quantum Gases · Physics 2015-06-16 Dario Hügel , Belén Paredes

In this paper, we determine the geometric phase for the one-dimensional $XXZ$ Heisenberg chain with spin-$1/2$, the exchange couple $J$ and the spin anisotropy parameter $\Delta$ in a longitudinal field(LF) with the reduced field strength…

Statistical Mechanics · Physics 2020-04-22 Yi Liao , Xiao-Bo Gong , Chu Guo , Ping-Xing Chen

We analytically study the ground-state quantum phase transition between the Haldane phase and the large-$D$ (LD) phase of the $S=1/2$ ferromagnetic-antiferromagnetic alternating Heisenberg chain with on-site anisotropy. We transform this…

Condensed Matter · Physics 2009-10-28 Kiyomi Okamoto

We study the effect of sublattice symmetry breaking on the electronic, magnetic and transport properties of two dimensional graphene as well as zigzag terminated one and zero dimensional graphene nanostructures. The systems are described…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 D. Soriano , J. Fernández-Rossier

The seminal Haldane model brings up a paradigm beyond the quantum Hall effect to look for a plethora of topological phases in the honeycomb and other lattices. Here we dwell into this model considering a full parameter space in the presence…

Mesoscale and Nanoscale Physics · Physics 2025-03-04 Tanay Nag , Saptarshi Mandal

We study the entanglement structure and the topological edge states of the ground state of the spin-1/2 XXZ model with bond alternation. We employ parity-density matrix renormalization group with periodic boundary conditions. The…

Quantum Physics · Physics 2016-05-25 Yu-Chin Tzeng , Li Dai , M. -C. Chung , Luigi Amico , Leong-Chuan Kwek

We present an extensive overview of the phase diagram, spin-wave excitations, and finite-temperature transitions of the anisotropic-exchange magnets on an ideal nearest-neighbor triangular lattice. We investigate transitions between five…

Strongly Correlated Electrons · Physics 2022-02-23 P. A. Maksimov , Zhenyue Zhu , Steven R. White , A. L. Chernyshev

The condensed matter Haldane and Kane-Mele models revolutionized the understanding of what is an "insulator", as they unveiled novel classes of media that behave as metals near the surface, but are insulating in the bulk. Here, we propose…

Optics · Physics 2020-02-13 Sylvain Lannebère , Mário G. Silveirinha

We calculate dynamical structure factors of the S=1 bond-alternating Heisenberg chain with a single-ion anisotropy in transverse magnetic fields, using a continued fraction method based on the Lanczos algorithm. In the Haldane-gap phase and…

Strongly Correlated Electrons · Physics 2009-11-11 Takahumi Suzuki , Sei-ichiro Suga

The ground state phase diagram of the alternating spin-1/2 chains with anisotropic ferromagnetic coupling under the influence of a symmetry breaking transverse magnetic field is studied. We have used the exact diagonalization technique. In…

Strongly Correlated Electrons · Physics 2008-03-31 Saeed Mahdavifar , Alireza Akbari

We investigate the properties of a three-leg quantum spin tube using several techniques such as the density matrix renormalization group method, strong coupling approaches and the non linear sigma model. For integer spins S, the model…

Strongly Correlated Electrons · Physics 2011-03-01 D. Charrier , S. Capponi , M. Oshikawa , P. Pujol

We show that resonant dipole-dipole interactions between Rydberg atoms in a triangular lattice can give rise to artificial magnetic fields for spin excitations. We consider the coherent dipole-dipole coupling between $np$ and $ns$ Rydberg…

Atomic Physics · Physics 2017-01-17 Martin Kiffner , Edward O'Brien , Dieter Jaksch

The recent synthesis of two-dimensional staggered materials opens up burgeoning opportunities to study optical spin-orbit interactions in semiconducting Dirac-like systems. We unveil topological phase transitions in the photonic spin Hall…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 W. J. M. Kort-Kamp

We investigate the new quantum phases on the extended Kane-Mele-Hubbard model of honeycomb lattice in the Hofstadter regime. In this regime, orbital motion of the electrons can induce various topological phases with spontaneously broken…

Strongly Correlated Electrons · Physics 2018-12-19 Archana Mishra , SungBin Lee

The concept of swapping the two most important spin interactions -- exchange and spin-orbit coupling -- is proposed based on two-dimensional multilayer van der Waals heterostructures. Specifically, we show by performing realistic ab initio…

Mesoscale and Nanoscale Physics · Physics 2020-11-05 Klaus Zollner , Martin Gmitra , Jaroslav Fabian

Topological Kondo insulators are strongly correlated materials, where itinerant electrons hybridize with localized spins giving rise to a topologically non-trivial band structure. Here we use non-perturbative bosonization and…

Strongly Correlated Electrons · Physics 2015-06-03 Alejandro M. Lobos , Ariel O. Dobry , Victor Galitski

We calculate the excitation spectrum and spectral weights of the alternating antiferromagnetic-ferromagnetic spin-half Heisenberg chain with exchange couplings $J$ and $-|\lambda|J$ as a power series in $\lambda$. For small $|\lambda|$, the…

Strongly Correlated Electrons · Physics 2007-05-23 Weihong Zheng , Chris Hamer , Rajiv Singh