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The one-dimensional interacting Bose-Fermi mixtures, exhibiting quantum phase transitions at zero temperature, are particularly valuable for the study of quantum critical phenomena. In the present paper, we analytically study quantum phase…

Quantum Gases · Physics 2012-02-20 Xiangguo Yin , Xi-Wen Guan , Yunbo Zhang , Shu Chen

The topological degeneracy is a characteristic of quantum phase diagram in an Ising chain with transverse field. We revisit the phase diagram at nonzero temperature of an Ising chain with two types of open boundary conditions. In this work,…

Strongly Correlated Electrons · Physics 2026-05-12 E. S. Ma , Z. Song

We present an unbiased numerical density-matrix renormalization group study of the one-dimensional Bose-Hubbard model supplemented by nearest-neighbor Coulomb interaction and bond dimerization. It places the emphasis on the determination of…

Quantum Gases · Physics 2019-01-30 Koudai Sugimoto , Satoshi Ejima , Florian Lange , Holger Fehske

Validity of modified finite-size scaling above the upper critical dimension is demonstrated for the quantum phase transition whose dynamical critical exponent is $z=2$. We consider the $N$-component Bose-Hubbard model, which is exactly…

Statistical Mechanics · Physics 2010-01-27 Yasuyuki Kato , Naoki Kawashima

The interplay between topology and interaction always plays an important role in condensed matter physics and induces many exotic quantum phases, while rare transition metal layered material (TMLM) has been proved to possess both. Here we…

A system with equal number of positive and negative charges confined in a box with a small but finite thickness is modeled as a function of temperature using mesoscale numerical simulations, for various values of the charges. The Coulomb…

Soft Condensed Matter · Physics 2023-01-09 A. Gama Goicochea , Z. Nussinov

Electrical currents in a quantum spin Hall insulator are confined to the boundary of the system. The charge carriers can be described as massless relativistic particles, whose spin and momentum are coupled to each other. While the helical…

We study multifractal spectra of critical wave functions at the integer quantum Hall plateau transition using the Chalker-Coddington network model. Our numerical results provide important new constraints which any critical theory for the…

Mesoscale and Nanoscale Physics · Physics 2008-12-18 H. Obuse , A. R. Subramaniam , A. Furusaki , I. A. Gruzberg , A. W. W. Ludwig

We investigate the interacting domain-wall model derived from the triangular-lattice antiferromagnetic Ising model with two next-nearest-neighbor interactions. The system has commensurate phases with a domain-wall density $q=2/3$ as well as…

Condensed Matter · Physics 2009-10-22 Jae Dong Noh , Doochul Kim

Topological phases of matter are among the most intriguing research directions in Condensed Matter Physics. It is known that superconductivity induced on a topological insulator's surface can lead to exotic Majorana modes, the main…

Strongly Correlated Electrons · Physics 2021-05-20 J. Herbrych , M. Środa , G. Alvarez , M. Mierzejewski , E. Dagotto

We investigate the boundary critical phenomena of the one-dimensional quantum Ashkin-Teller model using boundary conformal field theory and density matrix renormalization group (DMRG) simulations. Based on the $\mathbb{Z}_2$-orbifold of the…

Strongly Correlated Electrons · Physics 2026-05-13 Yifan Liu , Natalia Chepiga , Yoshiki Fukusumi , Masaki Oshikawa

It is expected that the interplay between non-trivial band topology and strong electron correlation will lead to very rich physics. Thus a controlled study of the competition between topology and correlation is of great interest. Here,…

Strongly Correlated Electrons · Physics 2016-04-04 Yuan-Yao He , Han-Qing Wu , Yi-Zhuang You , Cenke Xu , Zi Yang Meng , Zhong-Yi Lu

A system of coupled photonic cavities on a two-dimensional square lattice is systematically investigated using the stochastic series expansion quantum Monte Carlo method. The ground state phase diagram contains insulating phases with…

Other Condensed Matter · Physics 2008-08-18 Jize Zhao , Anders W. Sandvik , Kazuo Ueda

A central tenet in the theory of quantum phase transitions (QPTs) is that a nonanalyticity in the ground-state energy in the thermodynamic limit implies a QPT. Here we report on a finding that challenges this assertion. As a case study we…

Statistical Mechanics · Physics 2020-08-20 Mariana Malard , David Brandao , Paulo Eduardo de Brito , Henrik Johannesson

We calculate supercurrent across a two-dimensional topological insulator subjected to an external magnetic field. When the edge states of a narrow two-dimensional topological insulator are hybridized, an external magnetic field can close…

Mesoscale and Nanoscale Physics · Physics 2015-11-18 Alexander Zyuzin , Mohammad Alidoust , Jelena Klinovaja , Daniel Loss

We consider a theory for a two-dimensional interacting conduction electron system with strong spin-orbit coupling on the interface between a topological insulator and the magnetic (ferromagnetic or antiferromagnetic) layer. For the…

Strongly Correlated Electrons · Physics 2012-12-06 Flavio S. Nogueira , Ilya Eremin

Recent discoveries have spurred the theoretical prediction and experimental realization of novel materials that have topological properties arising from band inversion. Such topological insulators are insulating in the bulk but have…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 M. Kotulla , U. Zülicke

We have constructed a general theory describing the topological quantum phase transitions in 3D systems with broken inversion symmetry. While the consideration of the system's codimension generally predicts the appearance of a stable…

Strongly Correlated Electrons · Physics 2015-06-05 Bohm-Jung Yang , Mohammad Saeed Bahramy , Ryotaro Arita , Hiroki Isobe , Eun-Gook Moon , Naoto Nagaosa

We study superconducting quantum interference in a Josephson junction linked via edge states in two-dimensional (2D) insulators. We consider two scenarios in which the 2D insulator is either a topological or a trivial insulator supporting…

Mesoscale and Nanoscale Physics · Physics 2022-08-16 Tamás Haidekker Galambos , Silas Hoffman , Patrik Recher , Jelena Klinovaja , Daniel Loss

In this paper we explore the effects of quasiperiodicity in paradigmatic models of Chern insulators. We identify a plethora of topological phase transitions and characterize them based on spectral and localization properties. Contrary to…

Disordered Systems and Neural Networks · Physics 2022-12-16 Tiago S. Gonçalves , Miguel Gonçalves , Pedro Ribeiro , Bruno Amorim