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We study the phase diagram and quantum critical region of one of the fundamental models for electronic correlations: the periodic Anderson model. Employing the recently developed dynamical vertex approximation, we find a phase transition…

Strongly Correlated Electrons · Physics 2019-06-07 T. Schäfer , A. A. Katanin , M. Kitatani , A. Toschi , K. Held

Topological quantum phases cannot be characterized by local order parameters in the bulk. In this work however, we show that signatures of a topological quantum critical point do remain in local observables in the bulk, and manifest…

Statistical Mechanics · Physics 2017-01-25 Sthitadhi Roy , Roderich Moessner , Arnab Das

We study the logarithmic entanglement negativity of symmetry-protected topological (SPT) phases and quantum critical points (QCPs) of one-dimensional noninteracting fermions at finite temperatures. In particular, we consider a free fermion…

Strongly Correlated Electrons · Physics 2024-08-22 Wonjune Choi , Michael Knap , Frank Pollmann

Topological phononic insulators are the counterpart of three-dimensional quantum spin Hall insulators in phononic systems and, as such, their topological surfaces are characterized by Dirac cone-shaped gapless edge states arising as a…

Superconductivity · Physics 2022-08-17 Daniele Di Miceli , Chandan Setty , Alessio Zaccone

We provide a microscopic-level derivation of earlier results showing that, in the critical vicinity of the superconductor-to-insulator transition (SIT), disorder and localization become negligible and the structure of the emergent phases is…

Superconductivity · Physics 2021-06-02 M. C. Diamantini , C. A. Trugenberger , V. M. Vinokur

Topological quantum phase transitions (TQPTs) in a material induced by external perturbations are often characterized by band touching points in the Brillouin zone. The low-energy excitations near the degenerate band touching points host…

Materials Science · Physics 2018-05-07 Rinkle Juneja , Ravindra Shinde , Abhishek K. Singh

Recently, level crossings in the energy bands of crystals have been identified as a key signature for topological phase transitions. Using realistic models we show that the parameter space controlling the occurrence of level coincidences in…

Mesoscale and Nanoscale Physics · Physics 2012-11-19 R. Winkler , L. Y. Wang , Y. H. Lin , C. S. Chu

As the thickness of a three-dimensional (3D) topological insulator (TI) becomes comparable to the penetration depth of the surface states, quantum tunneling between surfaces turns their gapless Dirac electronic structure into a gapped…

Mesoscale and Nanoscale Physics · Physics 2020-04-13 Su Kong Chong , Lizhe Liu , Taylor D. Sparks , Feng Liu , Vikram V. Deshpande

We link the presence of "unnecessary" quantum critical surfaces within a single gapped phase of matter to the non-trivial topology of families of gapped Hamiltonians that encircle the critical surface. We study a specific set of…

Strongly Correlated Electrons · Physics 2026-01-05 Abhishodh Prakash , S. A. Parameswaran

The superconductor to insulator or metal transition in two dimensions (2D) provides a valuable platform for studying continuous quantum phase transitions (QPTs) and critical phenomena. Distinct theoretical models, including both fermionic…

We determine the quantum phase diagram of the Hubbard chain with electron-hole symmetric correlated hopping at 1/2- and 1/4-filling using geometric concepts and continuum limit field theory. The long distance behavior of various correlation…

Condensed Matter · Physics 2007-05-23 A. A. Aligia , K. Hallberg , C. D. Batista , G. Ortiz

Despite the fact that a complete theoretical description of critical phenomena in connection with phase transitions has been well-established through the renormalization group theory, the microscopic nature of the phase transitions remains…

Statistical Mechanics · Physics 2025-11-07 Yun-Tong Yang , Fu-Zhou Chen , Hong-Gang Luo

We outline here how strong light-matter interaction can be used to induce quantum phase transition between normal and topological phases in two-dimensional topological insulators. We consider the case of a HgTe quantum well, in which band…

Mesoscale and Nanoscale Physics · Physics 2017-11-17 Mehedi Hasan , Dmitry Yudin , Ivan Iorsh , Olle Eriksson , Ivan Shelykh

We consider two-dimensional ($d=2$) systems with short-ranged microscopic interactions, where interface unbinding (wetting) transitions occur in the limit of vanishing temperature $T$. For $T=0$ the transition is characterized by…

Statistical Mechanics · Physics 2015-06-23 Pawel Jakubczyk , Marek Napiórkowski , Federico Benitez

Interacting lattice bosons at integer filling can support two distinct insulating phases, which are separated by a critical point: the Mott insulator and the Haldane insulator[Phys. Rev. Lett. 97, 260401 (2006)]. The critical point can be…

Strongly Correlated Electrons · Physics 2011-03-29 Erez Berg , Michael Levin , Ehud Altman

Driving existing materials to exhibit topologically nontrivial state is of both scientific and technological interests. Using first-principle calculations, we propose the first demonstration of electron doping induced multiple quantum phase…

Materials Science · Physics 2016-04-25 Xiaoming Zhang , Mingwen Zhao , Feng Liu

When time reversal symmetry is present there is a sharp distinction between topological and trivial band insulators which ensures that, as parameters are varied, these phases are separated by a phase transition at which the bulk gap closes.…

Strongly Correlated Electrons · Physics 2015-06-05 Zohar Ringel , Ehud Altman

We present an analytic theory of quantum criticality in quasi one-dimensional topological Anderson insulators. We describe these systems in terms of two parameters $(g,\chi)$ representing localization and topological properties,…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Alexander Altland , Dmitry Bagrets , Alex Kamenev

The interplay of topology, disorder, and non-Hermiticity gives rise to phenomena beyond the conventional classification of quantum phases. We propose a one-dimensional non-Hermitian Su-Schrieffer-Heeger model with quasiperiodically…

Disordered Systems and Neural Networks · Physics 2026-05-14 Qi-Bo Zeng , Rong Lü

The discovery of topological insulators in non-interacting electron systems has motivated the community to search such topological states of matter in correlated electrons both theoretically and experimentally. In this paper we investigate…

Strongly Correlated Electrons · Physics 2013-05-30 Minh-Tien Tran , Tetsuya Takimoto , Ki-Seok Kim