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Related papers: Topological Lifshitz transitions

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Topological phases are characterised by a topological invariant that remains unchanged by deformations in the Hamiltonian. Materials exhibiting topological phases include topological insulators, superconductors exhibiting strong spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2019-07-08 Dimitrie Culcer , Attila Geresdi

A first-order-like resistivity hysteresis is induced by a subtle structural transition under hydrostatic pressure in the topological nodal-line superconductor PbTaSe$_2$. This structure transition is quickly suppressed to zero at pressure…

Superconductivity · Physics 2017-09-06 C. Q. Xu , R. Sankar , W. Zhou , Bin Li , Z. D. Han , B. Qian , J. H. Dai , Hengbo Cui , A. F. Bangura , F. C. Chou , Xiaofeng Xu

Topology in momentum space is the main characteristics of the ground states of a system at zero temperature, the quantum vacua. The gaplessness of fermions in bulk, on the surface or inside the vortex core is protected by topology.…

High Energy Physics - Phenomenology · Physics 2013-08-30 G. E. Volovik

The reduced system in the Clebsch problem of the motion of a rigid body in fluid treated as the motion of a rigid body about its fixed mass center in a central Newtonian field with zero value of the area integral is a completely integrable…

Exactly Solvable and Integrable Systems · Physics 2014-08-27 Mikhail P. Kharlamov

Based on the two-dimensional lattice fermion model, we discuss transitions between different pairing states. Each phase is labeled by an integer which is a topological invariant and characterized by vortices of the Bloch wavefunction. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Y. Morita , Y. Hatsugai

One of the important characteristics of topological phases of matter is the topology of the underlying manifold on which they are defined. In this paper, we present the sensitivity of such phases of matter to the underlying topology, by…

Strongly Correlated Electrons · Physics 2021-10-05 Amit Jamadagni , Arpan Bhattacharyya

Light-induced phase transitions offer a method to dynamically modulate topological states in bulk complex materials. Yet, next-generation devices demand nanoscale architectures with contact resistances near the quantum limit and precise…

We study theoretically the topological quantum phase transition in Cavity QED lattice. We predict the condition for non-topological phase to the topological phase transition conditions for three different model Hamiltonians in cavity QED…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Chandan GN , N. Banerjee , Sujit Sarkar

We present a dynamical approach to detect changes in Fermi surface topology in a two-band model. Specifically, we show that the system's response to a low intensity light pulse can precisely identify topological Lifshitz transitions. At a…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Debamalya Dutta , Kush Saha

We study the relationship between the pseudogap and Fermi-surface topology in the two-dimensional Hubbard model by means of the cellular dynamical mean-field theory. We find two possible mean-field metallic solutions on a broad range of…

Strongly Correlated Electrons · Physics 2018-02-12 Helena Braganca , Shiro Sakai , M. C. O. Aguiar , Marcello Civelli

As phenomena that necessarily emerge from the collective behavior of interacting particles, phase transitions continue to be difficult to predict using statistical thermodynamics. A recent proposal called the topological hypothesis suggests…

Statistical Mechanics · Physics 2023-06-08 O. B. Ericok , J. K. Mason

Topological phase transitions in band models are usually associated to the gap closing between the highest valance band and the lowest conduction band, which can give rise to different types of nodal structures, such as Dirac/Weyl points,…

Mesoscale and Nanoscale Physics · Physics 2024-04-05 Giandomenico Palumbo

The topological invariant responsible for the stability of Fermi point/Fermi surface in homogeneous systems is expressed through the one particle Green function, which depends on momentum. It is given by an integral over the 3D hypersurface…

Mesoscale and Nanoscale Physics · Physics 2025-10-07 M. A. Zubkov

The Kosterlitz-Thouless and the Hexatic phase transitions are celebrated examples of dipole (vortex, dislocation) induced transitions in condensed matter physics. For very clear reasons, these important ``topological" transitions are…

Statistical Mechanics · Physics 2025-07-16 Itamar Procaccia , Tuhin Samanta

Topological order in strongly correlated systems, including quantum spin liquids, quantum Hall states in lattices and topological superconductivity is treated. Various metallic non-Fermi-liquid states are discussed, including fractionalized…

Strongly Correlated Electrons · Physics 2022-09-12 V. Yu. Irkhin , Yu. N. Skryabin

We consider the possibility of topological quantum phase transitions of ultracold fermions in optical lattices, which can be studied as a function of interaction strength or atomic filling factor (density). The phase transitions are…

Strongly Correlated Electrons · Physics 2008-08-12 R. W. Cherng , C. A. R. Sá de Melo

We study electron correlation effects on quantum criticalities of Lifshitz transitions at zero temperature, using the mean-field theory based on a preexisting symmetry-broken order, in two-dimensional systems. In the presence of…

Strongly Correlated Electrons · Physics 2007-05-23 Youhei Yamaji , Takahiro Misawa , Masatoshi Imada

We extend a top-down holographic model of a Weyl semimetal to finite charge density and compute the fermionic spectral function by introducing two probe fermions of opposite chirality. The model is controlled by the boundary fermion mass M…

High Energy Physics - Theory · Physics 2025-10-01 Cheng-Yuan Lu , Xian-Hui Ge , Sang-Jin Sin

Topology plays a cardinal role in explaining phases and quantum phase transitions beyond the Landau-Ginzburg-Wilson paradigm. In this study, we formulate a set of models of Dirac fermions in 2+1 dimensions with…

Strongly Correlated Electrons · Physics 2025-07-15 Gabriel Rein , Marcin Raczkowski , Zhenjiu Wang , Toshihiro Sato , Fakher F. Assaad

A topological approach to the theory of equilibrium phase transitions in statistical physics is based on the Topological Hypothesis (TH), which claims that phase transitions are due to changes of the topology of suitable submanifolds in the…

Algebraic Topology · Mathematics 2015-03-17 Michael Farber , Viktor Fromm