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In this paper, starting from a lattice model of topological insulators, we study the quantum phase transitions among different quantum states, including quantum spin Hall state, quantum anomalous Hall state and normal band insulator state…

Strongly Correlated Electrons · Physics 2010-01-22 Lan-Feng Liu , Su-Peng Kou

We develop a theory of a direct, continuous quantum phase transition between a bosonic Laughlin fractional quantum Hall (FQH) state and a superfluid, generalizing the Mott insulator to superfluid phase diagram of bosons to allow for the…

Strongly Correlated Electrons · Physics 2014-06-18 Maissam Barkeshli , John McGreevy

We study quantum phase transitions in Bose-Fermi mixtures driven by interspecies interaction in the quantum Hall regime. In the absence of such an interaction, the bosons and fermions form their respective fractional quantum Hall (FQH)…

Strongly Correlated Electrons · Physics 2023-12-25 Ying-Hai Wu , Hong-Hao Tu , Meng Cheng

We find that in a multi-orbital system with intraorbital and interorbital hopping integrals, the Hall conductance exhibits various topological quantum phase transitions (QPTs) induced by on-site orbital polarization: integer quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2010-09-13 Yi-Fei Wang , Chang-De Gong

The conductivity $\sigma$ and resistivity $\rho$ tensors of the disordered Hofstadter model are mapped as functions of Fermi energy $E_F$ and temperature $T$ in the quantum critical regime of the plateau-insulator transition (PIT). The…

Mesoscale and Nanoscale Physics · Physics 2014-02-10 Juntao Song , Emil Prodan

A simple physical realization of an integer quantum Hall state of interacting two dimensional bosons is provided. This is an example of a "symmetry-protected topological" (SPT) phase which is a generalization of the concept of topological…

Strongly Correlated Electrons · Physics 2015-06-05 T. Senthil , Michael Levin

The deconfined quantum critical point, a prototype Landau-forbidden transition, could exist in principle in the phase transitions involving symmetry protected topological phase, however, examples of such kinds of transition in physical…

Strongly Correlated Electrons · Physics 2020-01-27 Tian-Sheng Zeng , D. N. Sheng , W. Zhu

The recent production of synthetic magnetic fields acting on electroneutral particles, like atoms or photons, has boosted the interest in the quantum Hall physics of bosons. Adding pseudospin-1/2 to the bosons greatly enriches the scenario,…

Quantum Gases · Physics 2014-01-14 Tobias Graß , David Raventós , Maciej Lewenstein , Bruno Juliá-Díaz

We study the quantum critical point between the fermionic $\nu=8$ quantum Hall state and the bosonic $\nu=2$ quantum Hall state of Cooper pairs. Our study is motivated by the composite fermion construction for the daughter states of…

Mesoscale and Nanoscale Physics · Physics 2025-08-26 Evgenii Zheltonozhskii , Ady Stern , Netanel H. Lindner

We use exact diagonalization to study the quantum phases and phase transitions when a single species of fermionic atoms at Landau level filling factor $\nu_f = 1$ in a rotating trap interact through a p-wave Feshbach resonance. We show that…

Strongly Correlated Electrons · Physics 2017-06-14 Shiuan-Fan Liou , Zi-Xiang Hu , Kun Yang

We describe a new phase transition of the bilayer quantum Hall ferromagnet at filling fraction $\nu = 1$. In the presence of static disorder (modeled by a periodic potential), bosonic $S=1/2$ spinons can undergo a superfluid-insulator…

Mesoscale and Nanoscale Physics · Physics 2008-11-24 Ganpathy Murthy , Subir Sachdev

We demonstrate experimentally that the transitions between adjacent integer quantum Hall (QH) states are equivalent to a QH-to-insulator transition occurring in the top Landau level, in the presence of an inert background of the other…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 D. Shahar , D. C. Tsui , M. Shayegan , E. Shimshoni , S. L. Sondhi

We study the phase transitions of bosonic $\nu=1/2$ fractional quantum Hall (FQH) effect in different topological lattice models under the interplay of onsite periodic potential and Hubbard repulsion. Through exact diagonalization and…

Strongly Correlated Electrons · Physics 2021-02-17 Tian-Sheng Zeng

We study a bosonic model with correlated hopping on a honeycomb lattice, and show that its ground state is a bosonic integer quantum Hall (BIQH) phase, a prominent example of a symmetry protected topological (SPT) phase. By using the…

Strongly Correlated Electrons · Physics 2015-09-14 Yin-Chen He , Subhro Bhattacharjee , R. Moessner , Frank Pollmann

We report in this paper results of experimental and theoretical studies of transitions between different integer quantum Hall phases, as well as transition between the insulating phase and quantum Hall phases at high magnetic fields. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kun Yang , D. Shahar , R. N. Bhatt , D. C. Tsui , M. Shayegan

We report a continuous phase transition between quantum-anomalous-Hall and trivial-insulator phases in a magnetic topological insulator upon magnetization rotation. The Hall conductivity transits from one plateau of quantized Hall…

We study disorder induced transition between quantum Hall states and insulator state in a {\it lattice} model. We find the positions of the extended states do not change as disorder strength is varied. As a consequence, there are direct…

Condensed Matter · Physics 2009-10-28 X. C. Xie , D. Z. Liu

Topological insulators are bulk electronic insulators which possess symmetry protected gapless modes on their surfaces. Breaking the symmetries that underlie the gapless nature of the surface modes is predicted to give rise to exotic new…

Strongly Correlated Electrons · Physics 2014-10-15 J. G. Checkelsky , R. Yoshimi , A. Tsukazaki , K. S. Takahashi , Y. Kozuka , J. Falson , M. Kawasaki , Y. Tokura

We adapt the fluid description of Fractional Quantum Hall (FQH) states, as seen in (arXiv:2203.06516), to model a system of interacting two-component bosons. This system represents the simplest physical realization of an interacting bosonic…

Mesoscale and Nanoscale Physics · Physics 2024-05-21 Dylan Reynolds , Gustavo M. Monteiro , Sriram Ganeshan

After decades of searching for the dissipationless transport in the absence of any external magnetic field, quantum anomalous Hall effect (QAHE) was recently achieved in magnetic topological insulator (TI) films. However, the universal…

Mesoscale and Nanoscale Physics · Physics 2015-10-09 Xufeng Kou , Lei Pan , Jing Wang , Yabin Fan , Eun Sang Choi , Wei-Li Lee , Tianxiao Nie , Koichi Murata , Qiming Shao , Shou-Cheng Zhang , Kang L. Wang
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