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The interplay between electronic correlations and band topology is a central theme in modern condensed matter physics. In this work, we investigate the effects of on-site Hubbard interactions on the topological, magnetic, and quantum…

Strongly Correlated Electrons · Physics 2025-10-01 Abdiel de Jesús Espinosa-Champo , Gerardo G. Naumis

Topological phases are characterized by their entanglement properties, which is manifest in a direct relation between entanglement spectra and edge states discovered by Li and Haldane. We propose to leverage the power of synthetic quantum…

Quantum Gases · Physics 2022-05-04 Torsten V. Zache , Christian Kokail , Bhuvanesh Sundar , Peter Zoller

Equilibrium phase transitions may be defined as nonanalytic points of thermodynamic functions, e.g., of the canonical free energy. Given a certain physical system, it is of interest to understand which properties of the system account for…

Statistical Mechanics · Physics 2008-01-08 Michael Kastner

Interacting fermionic ladders are important platforms to study quantum phases of matter, such as different types of Mott insulators. In particular, the D-Mott and S-Mott states hold pre-formed fermion pairs and become paired-fermion liquids…

Strongly Correlated Electrons · Physics 2024-04-01 Yuchi He , Dante M. Kennes , Christoph Karrasch , Roman Rausch

Among many types of quantum entanglement properties, the entanglement spectrum provides more abundant information than other observables. Exact diagonalization and density matrix renormalization group method could handle the system in…

Strongly Correlated Electrons · Physics 2025-03-05 Weilun Jiang , Xiaofan Luo , Bin-Bin Mao , Zheng Yan

We consider a helical spin liquid system which shows majorana fermion modes at the edge. The interaction between the quasiparticles in this system induces phase transition, Majorana-Ising transition. We comply the density matrix…

Strongly Correlated Electrons · Physics 2017-08-02 Dayasindhu Dey , Sudip Kumar Saha , P. Singha Deo , Manoranjan Kumar , Sujit Sarkar

We demonstrate that dynamical probes provide direct means of detecting the topological phase transition (TPT) between conventional and topological phases, which would otherwise be difficult to access because of loss or heating processes. We…

Quantum Gases · Physics 2015-11-06 F. Setiawan , K. Sengupta , I. B. Spielman , Jay D. Sau

The Haldane model is a standard tight-binding model describing electrons hopping on a hexagonal lattice subject to a transverse, dipolar magnetic field. We consider its interacting version for values of the interaction strength that are…

Strongly Correlated Electrons · Physics 2025-10-13 Simone Fabbri , Alessandro Giuliani , Robin Reuvers

Topological edge states are recently attracting intense interest due to their robustness in the presence of disorder and defects. However, most approaches for manipulating such states require global modulations of the system's Hamiltonian.…

Quantum Physics · Physics 2023-09-26 Xian-Liang Lu , Ze-Liang Xiang

We propose a general scheme for diagnosing interaction-driven topological phases in the weak interaction regime using exact diagonalization (ED). The scheme comprises the analysis of eigenvalues of the point-group operators for the…

Strongly Correlated Electrons · Physics 2016-08-09 Han-Qing Wu , Yuan-Yao He , Chen Fang , Zi Yang Meng , Zhong-Yi Lu

Gapped phases of noninteracting fermions, with and without charge conservation and time-reversal symmetry, are classified using Bott periodicity. The symmetry and spatial dimension determines a general universality class, which corresponds…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Alexei Kitaev

Topological phases of matters are of fundamental interest and have promising applications. Fascinating topological properties of light have been unveiled in classical optical materials. However, the manifestation of topological physics in…

Optics · Physics 2015-08-06 Da-Wei Wang , Han Cai , Luqi Yuan , Shi-Yao Zhu , Ren-Bao Liu

Quantum entanglement can be an effective diagnostic tool for probing topological phases protected by global symmetries. Recently, the notion of nontrivial topology in critical systems has been proposed and is attracting growing attention.…

Strongly Correlated Electrons · Physics 2025-08-19 Wen-Hao Zhong , Hai-Qing Lin , Xue-Jia Yu

Time has entered the domain of topological phases in the field of non-Hermitian physics. Previous studies have relied on periodic modulation in time to make an intuitive connection to established spatial topological invariants, albeit with…

Materials with non-trivial topology in their electronic structures enforce the existence of helical Dirac fermionic surface states. We discovered emergent topological phases in the stacked structures of topological insulator and band…

Materials Science · Physics 2012-06-15 Jeongwoo Kim , Jinwoong Kim , Ki-Seok Kim , Seung-Hoon Jhi

The elsewhere surmised topological origin of phase transitions is given here new important evidence through the analytic study of an exactly solvable model for which both topology and thermodynamics are worked out. The model is a mean-field…

Statistical Mechanics · Physics 2009-11-10 Luca Angelani , Lapo Casetti , Marco Pettini , Giancarlo Ruocco , Francesco Zamponi

Topological superconductors differ from topologically trivial ones for the presence of topologically protected zero-energy modes. To date, experimental evidence of topological superconductivity in nanostructures has been mainly obtained by…

Mesoscale and Nanoscale Physics · Physics 2016-07-22 Pasquale Marra , Roberta Citro , Alessandro Braggio

Lifshitz transitions are topological transitions of a Fermi surface, whose signatures typically appear in the conduction properties of a host metal. Here, we demonstrate, using an extended Falicov- Kimball model of a two-flavor fermion…

Strongly Correlated Electrons · Physics 2024-01-09 Adam Eaton , Dibya Mukherjee , Herbert Fertig

Topological mosaic pattern (TMP) can be formed in two-dimensional (2D) moir\'e superlattices, a set of periodic and spatially separated domains with distinct topologies give rise to periodic edge states on the domain walls. In this study,…

Materials Science · Physics 2023-07-12 Haonan Wang , Li Yang

Topological phases of matter that depend for their existence on interactions are fundamentally interesting and potentially useful as platforms for future quantum computers. Despite the multitude of theoretical proposals the only…

Mesoscale and Nanoscale Physics · Physics 2015-09-02 D. I. Pikulin , Ching-Kai Chiu , Xiaoyu Zhu , M. Franz