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Nambu-Goto model is investigated by using the canonical Monte Carlo simulations on fixed connectivity surfaces of spherical topology. Three distinct phases are found: crumpled, tubular, and smooth. The crumpled and the tubular phases are…

Statistical Mechanics · Physics 2009-11-10 Hiroshi Koibuchi , Zion Sasaki , Keisuke Shinohara

We apply the self-consistent renormalized perturbation theory to the Hubbard model on the square lattice, at finite temperatures in order to study the evolution of the Fermi-surface (FS) as a function of temperature and doping. Previously,…

Strongly Correlated Electrons · Physics 2018-12-07 Sergey Slizovskiy , Pablo Rodriguez-Lopez , Joseph J. Betouras

We consider a two-dimensional generalization of the Su-Schrieffer-Heeger model which is known to possess a non-trivial topological band structure. For this model, which is characterized by a single parameter, the hopping ratio $0 \leq r\leq…

Superconductivity · Physics 2023-03-29 Ying Wang , Gautam Rai , Stephan Haas , Anuradha Jagannathan

The practical use of non-Hermitian (i.e., typically, PT-symmetric) phenomenological quantum Hamiltonians is discussed as requiring an explicit reconstruction of the {\em ad hoc} Hilbert-space metrics which would render the time-evolution…

Quantum Physics · Physics 2013-06-27 Miloslav Znojil

The analogue of a Mott-Hubbard transition is discussed, which appears at an incommensurate filling in a model of a two-dimensional plane, randomly tiled with CuO_4 `molecules', simulating the copper-oxide planes of high-T_c superconductors.…

Strongly Correlated Electrons · Physics 2007-05-23 D. K. Sunko

The topological hypothesis claims that phase transitions in a classical statistical mechanical system are related to changes in the topology of the level sets of the Hamiltonian. So far, the study of this hypothesis has been restricted to…

Statistical Mechanics · Physics 2019-05-01 David Cimasoni , Robin Delabays

The extended Hubbard model with an attractive density-density interaction, positive pair hopping, or both, is shown to host topological phases, with a doubly degenerate entanglement spectrum and interacting edge spins. This constitutes a…

Strongly Correlated Electrons · Physics 2020-08-11 Roman Rausch , Matthias Peschke

We explore the phase structure of nonlinear sigma models with target spaces corresponding to compact quotients of hyperbolic space, focusing on the case of a hyperbolic genus-2 Riemann surface. The continuum theory of these models can be…

High Energy Physics - Theory · Physics 2016-07-20 Steven Gubser , Zain H. Saleem , Samuel S. Schoenholz , Bogdan Stoica , James Stokes

Topological materials hold immense promise for exhibiting exotic quantum phenomena, yet achieving controllable topological phase transitions remains challenging. Here, we demonstrate a structurally driven, reversible topological phase…

A symmetry-protected topological phase has nontrivial surface states in the presence of certain symmetries, which can either be gapless or be degenerate. In this work, we study the physical consequence of such gapless surface states at the…

Strongly Correlated Electrons · Physics 2017-03-01 Long Zhang , Fa Wang

We study symmetry-protected topological (SPT) phase transitions induced by stacking two gapped one-dimensional subsystems in BDI symmetry class. The topological invariant of the entire system is a sum of three topological invariants: two…

Mesoscale and Nanoscale Physics · Physics 2023-06-09 Sang-Jun Choi , Björn Trauzettel

We demonstrate the existence of topological phase transitions in interacting, symmetry-protected quantum matter at finite temperatures. Using a combined numerical and analytical approach, we study a one-dimensional Su-Schrieffer-Heeger…

Quantum Gases · Physics 2025-02-11 Ze-Min Huang , Sebastian Diehl

Reconstructing the surfaces of deformable objects from correspondences between a 3D template and a 2D image is well studied under Shape-from-Template (SfT) methods; however, existing approaches break down when topological changes accompany…

Computer Vision and Pattern Recognition · Computer Science 2025-11-06 Kevin Manogue , Tomasz M Schang , Dilara Kuş , Jonas Müller , Stefan Zachow , Agniva Sengupta

We present examples of partially hyperbolic and topologically transitive local diffeomorphisms defined as skew products over a horseshoe which exhibit rich phase transitions for the topological pressure. This phase transition follows from a…

Dynamical Systems · Mathematics 2015-05-28 Lorenzo J. Díaz , Katrin Gelfert , Michał Rams

Surfaces of $d$-wave superconductors may host a substantial density of zero-energy Andreev states. The zero-energy flat band appears due to a topological constraint, but comes with a cost in free energy. We have recently found that an…

Superconductivity · Physics 2019-05-29 P. Holmvall , A. Vorontsov , M. Fogelstrom , T. Lofwander

In this work we generalize the idea of a gravitational phase transition or GPT at late times to allow for a modified gravity scenario in the early universe as well. The original GPT was shown to simultaneously relax the $H_0$ and $\sigma_8$…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-14 Nima Khosravi , Marzieh Farhang

Using a prototype model for proximity induced superconductivity on a bilayer square lattice, we show that interlayer tunneling can drive change in topology of the Bogoliubov quasiparticle bands. Starting with topologically trivial…

Superconductivity · Physics 2021-07-15 Navketan Batra , Swagatam Nayak , Sanjeev Kumar

This article presents a phenomenological dynamic phase transition theory -- modeling and analysis -- for superfluids. As we know, although the time-dependent Ginzburg-Landau model has been successfully used in superconductivity, and the…

Statistical Mechanics · Physics 2009-03-12 Tian Ma , Shouhong Wang

For a generalized Su-Schrieffer-Heeger model the energy zero is always critical and hyperbolic in the sense that all reduced transfer matrices commute and have their spectrum off the unit circle. Disorder driven topological phase…

Mathematical Physics · Physics 2023-05-03 Joris De Moor , Christian Sadel , Hermann Schulz-Baldes

We revisit phase transitions in Twin Higgs (TH) models. We show that strong first-order phase transitions (FOPTs) can occur provided that appropriate source of $\mathbb{Z}_2$ symmetry breaking between the twin and Standard Model (SM)…

High Energy Physics - Phenomenology · Physics 2023-03-22 Marcin Badziak , Ignacy Nałęcz