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Related papers: Topological phases in interacting spin-1 systems

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Topological invariants such as Chern classes are by now a standard way to classify topological phases. Introducing and varying parameters in such systems leads to phase diagrams, where the Chern classes may jump when crossing a critical…

Mathematical Physics · Physics 2025-05-21 Ralph M. Kaufmann , Mohamad Mousa , Birgit Wehefritz-Kaufmann

We investigate dissipative phase transitions in an open central spin system. In our model the central spin interacts coherently with the surrounding many-particle spin environment and is subject to coherent driving and dissipation. We…

Topological phases exhibit a plethora of striking phenomena including disorder-robust localization and propagation of waves of various nature. Of special interest are the transitions between the different topological phases which are…

By decreasing the transversal confinement potential in interacting one-dimensional spinless electrons and populating the second energetically lowest sub-band, for not too strong interactions system transitions into a quasi-one-dimensional…

Strongly Correlated Electrons · Physics 2016-05-25 G. Sun , T. Vekua

An interesting route to the realization of topological Chern bands in ultracold atomic gases is through the use of optical flux lattices. These models differ from the tight-binding real-space lattice models of Chern insulators that are…

Quantum Gases · Physics 2015-04-24 A. Sterdyniak , B. Andrei Bernevig , Nigel R. Cooper , N. Regnault

Based on density matrix renormalization group method, we investigate the spin-orbit coupled Fermi gas with attractive interactions in one-dimensional optical lattice and present a complete phase diagram for a quarter-filling system with…

Strongly Correlated Electrons · Physics 2015-11-06 Haiping Hu , Chen Cheng , Yucheng Wang , Hong-Gang Luo , Shu Chen

Magnetic nanographenes are emerging as versatile building blocks for artificial spin lattices, enabling the exploration of flagship one-dimensional quantum-magnetism models with unprecedented control. The spin-1 Heisenberg model, including…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 João C. G. Henriques , Yelko del Castillo , Ricardo Segundo , Jan Phillips , Joaquín Fernández-Rossier

Topological phases supported by quasi-periodic spin-chain models and their bulk-boundary principles are investigated by numerical and K-theoretic methods. We show that, for both the un-correlated and correlated phases, the operator algebras…

Strongly Correlated Electrons · Physics 2024-02-13 Yifei Liu , Lea F. Santos , Emil Prodan

Here we study the emergence of different Symmetry-Protected Topological (SPT) phases in a spin-2 quantum chain. We consider a Heisenberg-like model with bilinear, biquadratic, bicubic, and biquartic nearest-neighbor interactions, as well as…

Strongly Correlated Electrons · Physics 2015-05-20 Augustine Kshetrimayum , Hong-Hao Tu , Roman Orus

The recent experimental realization of spin-orbit (SO) coupling for ultracold bosons and fermions opens an exciting avenue for engineering quantum matter that may be challenging to realize in solid state materials such as SO coupled spin-1…

Quantum Gases · Physics 2020-05-13 Junpeng Hou , Haiping Hu , Chuanwei Zhang

We construct a model Hamiltonian for S = 2 spin chain, where a variable parameter $\alpha$ is introduced. The edge spin is S = 1 for $\alpha = 0$, and S = 3/2 for $\alpha = 1$. Due to the topological distinction of the edge states, these…

Strongly Correlated Electrons · Physics 2014-11-20 Jiadong Zang , Hong-Chen Jiang , Zheng-Yu Weng , Shou-Cheng Zhang

Non-Hermitian systems have attracted considerable interest in recent years owing to their unique topological properties that are absent in Hermitian systems. While such properties have been thoroughly characterized in free fermion models,…

Quantum Physics · Physics 2023-09-14 Yuchen Guo , Ruohan Shen , Shuo Yang

The natural existence of crystalline symmetry in real materials manifests the importance of understanding crystalline symmetry-protected topological (SPT) phases, especially for interacting systems. In this paper, we systematically…

Strongly Correlated Electrons · Physics 2024-06-19 Jian-Hao Zhang , Shang-Qiang Ning , Yang Qi , Zheng-Cheng Gu

$Z_{2}$ and Chern topological phases such as newly discovered quantum spin Hall and original quantum Hall states hardly both co--exist in a single material due to their contradictory requirement on the time--reversal symmetry (TRS). We show…

Mesoscale and Nanoscale Physics · Physics 2016-03-15 Shu-Ting Pi , Sergey Savrasov

Topological quantum states cannot be created from product states with local quantum circuits of constant depth and are in this sense more entangled than topologically trivial states, but how entangled are they? Here we quantify the…

Quantum Physics · Physics 2015-05-27 Yichen Huang , Xie Chen

We study a bipartite collective spin-$1$ model with exchange interaction between the spins. The bipartite nature of the model manifests itself by the spins being divided into two equal-sized subsystems; within each subsystem the spin-spin…

Statistical Mechanics · Physics 2021-07-07 Dávid Jakab , Zoltán Zimborás

We propose a superconducting circuit platform for simulating spin-1 models. To this purpose we consider a chain of N ultrastrongly coupled qubit-resonator systems interacting through a grounded SQUID. The anharmonic spectrum of the…

Quantum Physics · Physics 2018-02-07 F. Albarrán-Arriagada , L. Lamata , E. Solano , G. Romero , J. C. Retamal

The ability to manipulate single atoms has opened up the door to constructing interesting and useful quantum structures from the ground up. On the one hand, nanoscale arrangements of magnetic atoms are at the heart of future quantum…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 R. Toskovic , R. van den Berg , A. Spinelli , I. S. Eliens , B. van den Toorn , B. Bryant , J. -S. Caux , A. F. Otte

Combining strong electron correlations [1-4] and nontrivial electronic topology [5] holds great promise for discovery. So far, this regime has been rarely accessed and systematic studies are much needed to advance the field. Here we…

We theoretically investigate one-dimensional three-component spin-orbit-coupled Fermi gases in the presence of Zeeman field. By solving the Bogoliubov-de-Gennes equations, we obtain the phase diagram at given chemical potential and order…

Quantum Gases · Physics 2014-08-26 Jie Chen , Hui Hu , Gao Xianlong
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