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Topological quantum phase transitions are characterised by changes in global topological invariants. These invariants classify many body systems beyond the conventional paradigm of local order parameters describing spontaneous symmetry…

强关联电子 · 物理学 2015-05-12 A. Amaricci , J. C. Budich , M. Capone , B. Trauzettel , G. Sangiovanni

Topological phase transitions challenge conventional paradigms in many-body physics by separating phases that are locally indistinguishable yet globally distinct. Using a quantum simulator of interacting erbium atoms in an optical lattice,…

A quantum phase transition in strongly correlated Fermi systems beyond the topological quantum critical point is studied within the Fermi liquid approach. The transition occurs between two topologically equivalent states, each with three…

强关联电子 · 物理学 2011-08-22 S. S. Pankratov , M. V. Zverev , M. Baldo

We investigate, by means of a field-theory analysis combined with the density-matrix renormalization group (DMRG) method, a theoretical model for a strongly correlated quantum system in one dimension realizing a topologically-ordered…

强关联电子 · 物理学 2016-10-17 Franco T. Lisandrini , Alejandro M. Lobos , Ariel O. Dobry , Claudio J. Gazza

We present an example for the phase transition between a topological non-trivial solid phase and a trivial solid phase in the quantum dimer model(QDM) on triangular lattice. Such a transition is beyond the Landau's paradigm of phase…

强关联电子 · 物理学 2018-07-10 Jianhua Yang , Tao Li

The order from quantum disorder (OFQD) phenomenon was first discovered in quantum spin systems in geometric frustrated lattice. Similar phenomenon was also discovered in interacting bosonic systems or quantum spin systems with spin-orbit…

量子气体 · 物理学 2023-03-14 Fadi Sun , Jinwu Ye

Topological states of matter are characterized by global topological invariants which change their value across a topological quantum phase transition. It is commonly assumed that the transition between topologically distinct noninteracting…

介观与纳米尺度物理 · 物理学 2017-04-19 Vladimir Juricic , D. S. L. Abergel , A. V. Balatsky

The interplay between non-trivial band topology and strong electronic correlations is a central challenge in modern condensed matter physics. We investigate this competition on a two-leg ladder model with a p-wave-like hybridisation between…

强关联电子 · 物理学 2025-11-13 Aminul Hussain , Nisa Ara , Rudranil Basu , Sudeshna Sen

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.…

强关联电子 · 物理学 2025-08-19 Wen-Hao Zhong , Hai-Qing Lin , Xue-Jia Yu

A quantum phase transition (QPT), including both topological and symmetry breaking types, is usually induced by the change of global parameters, such as external fields or global coupling constants. In this work, we demonstrate the…

量子物理 · 物理学 2016-12-26 C. Li , G. Zhang , S. Lin , Z. Song

Topological gapless phases of matter have been a recent interest among theoretical and experimental condensed matter physicists. Fermionic chains with extended nearest neighbor couplings have been observed to show unique topological…

量子物理 · 物理学 2025-04-08 Ranjith R Kumar , Hideaki Obuse

In this chapter we discuss aspects of the quantum critical behavior that occurs at a quantum phase transition separating a topological phase from a conventionally ordered one. We concentrate on a family of quantum lattice models, namely…

强关联电子 · 物理学 2015-05-14 Claudio Castelnovo , Simon Trebst , Matthias Troyer

We investigate a spinless Fermi gas trapped in a honeycomb optical lattice with attractive nearest-neighbor interactions. At zero temperature, mean-field theory predicts three quantum phase transitions, two being topological. At low…

量子气体 · 物理学 2015-05-19 Dario Poletti , Christian Miniatura , Benoit Gremaud

An exactly solvable Kitaev model in a two-dimensional square lattice exhibits a topological quantum phase transition which is different from the symmetry-breaking transition at zero temperature. When the ground state of a nonlinearly…

量子物理 · 物理学 2025-03-11 Leela Ganesh Chandra Lakkaraju , Sudip Kumar Haldar , Aditi Sen De

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…

强关联电子 · 物理学 2024-04-01 Yuchi He , Dante M. Kennes , Christoph Karrasch , Roman Rausch

Strongly interacting fermions represent the key constituent of several intriguing phases of matter. However, due to the inherent complexity of these systems, important regimes are still inaccessible. Here, we derive a realistic and flexible…

In this paper, we investigate signatures of topological phase transitions in interacting systems. We show that the key signature is the existence of a topologically protected level crossing, which is robust and sharply defines the…

强关联电子 · 物理学 2011-12-08 Christopher N. Varney , Kai Sun , Marcos Rigol , Victor Galitski

Quantum skyrmionic phase is modelled in a 2D helical spin lattice. This topological skyrmionic phase retains its nature in a large parameter space before moving to a ferromagnetic phase. Next nearest-neighbour interaction improves the…

强关联电子 · 物理学 2023-04-18 Vipin Vijayan , L. Chotorlishvili , A. Ernst , S. S. P. Parkin , M. I. Katsnelson , S. K. Mishra

The dynamics at the critical-point of a general first-order quantum phase transition in a finite system is examined, from an algebraic perspective. Suitable Hamiltonians are constructed whose spectra exhibit coexistence of states…

核理论 · 物理学 2014-11-18 A. Leviatan

We study the interplay between topological and conventional long range order of attractive fermions in a time reversal symmetric Hofstadter lattice using quantum Monte Carlo simulations, focussing on the case of one-third flux quantum per…

强关联电子 · 物理学 2014-11-11 Lei Wang , Hsiang-Hsuan Hung , Matthias Troyer
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