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We report observation of the fractional quantum Hall effect (FQHE) in high mobility multi-terminal graphene devices, fabricated on a single crystal boron nitride substrate. We observe an unexpected hierarchy in the emergent FQHE states that…

介观与纳米尺度物理 · 物理学 2011-06-17 C. R. Dean , A. F. Young , P. Cadden-Zimansky , L. Wang , H. Ren , K. Watanabe , T. Taniguchi , P. Kim , J. Hone , K. L. Shepard

We present a theoretical study of the low-energy physics of a quarter-hole-filled two-orbital bilayer Hubbard model motivated by transition-metal bilayer systems with strong orbital-selective interlayer hybridization. By explicitly treating…

强关联电子 · 物理学 2026-01-13 Guijing Duan , Yunlong Wang , Zhiguang Liao , Changle Liu , Rong Yu

In two-dimensional electron systems confined to GaAs quantum wells, as a function of either tilting the sample in magnetic field or increasing density, we observe multiple transitions of the fractional quantum Hall states (FQHSs) near…

介观与纳米尺度物理 · 物理学 2015-01-21 Yang Liu , D. Kamburov , S. Hasdemir , M. Shayegan , L. N. Pfeifer , K. W. West , K. W. Baldwin

Vacua of two dimensional incompressible system, such as Fractional Quantum Hall system, are characterized by rational conformal field theory. We develop a method to express the wavefunctions of those systems in terms of chiral vertices. We…

介观与纳米尺度物理 · 物理学 2016-08-31 Kazusumi Ino

We provide a detailed description of a new symmetry structure of the monomial (Slater) expansion coefficients of bosonic (fermionic) fractional quantum Hall states first obtained in Ref. 1, which we now extend to spin-singlet states. We…

强关联电子 · 物理学 2015-05-20 Ronny Thomale , Benoit Estienne , Nicolas Regnault , B. Andrei Bernevig

In this paper we study the conditions under which an N-electron wave function for a fractional quantum Hall (FQH) state can be viewed as N-point correlation function in a conformal field theory (CFT). Several concrete examples are presented…

凝聚态物理 · 物理学 2009-10-22 Xiao-Gang Wen , Yong-Shi Wu

Electron edge states in graphene in the Quantum Hall effect regime can carry both charge and spin. We show that spin splitting of the zeroth Landau level gives rise to counterpropagating modes with opposite spin polarization. These chiral…

介观与纳米尺度物理 · 物理学 2008-04-12 D. A. Abanin , P. A. Lee , L. S. Levitov

The collective behavior of interacting magnetic moments can be strongly influenced by the topology of the underlying lattice. In geometrically frustrated spin systems, interesting chiral correlations may develop that are related to the spin…

强关联电子 · 物理学 2007-05-23 D. Grohol , K. Matan , J. H. Cho , S. -H. Lee , J. W. Lynn , D. G. Nocera , Y. S. Lee

We investigate the feasibility of many candidate quantum Hall states for two-component bosons in the lowest Landau level. We identify interactions for which spin-singlet incompressible states occur at filling factors $\nu=2/3$, 4/5 and 4/3,…

强关联电子 · 物理学 2013-06-25 Ying-Hai Wu , Jainendra K. Jain

Enhancement of the electron spin polarization in a correlated two-layer two-dimensional electron system at a total Landau level filling factor of one is reported. Using resistively detected nuclear magnetic resonance, we demonstrate that…

强关联电子 · 物理学 2015-04-30 L. Tiemann , W. Wegscheider , M. Hauser

We theoretically study the correlated insulator states, quantum anomalous Hall (QAH) states, and field-induced topological transitions between different correlated states in twisted multilayer graphene systems. Taking twisted…

介观与纳米尺度物理 · 物理学 2022-06-02 Shihao Zhang , Xi Dai , Jianpeng Liu

In bilayer quantum Hall (BLQH) systems at $\nu$=2, three different kinds of ground states are expected to be realized, i.e. a spin polarized phase (spin phase), a pseudospin polarized phase (ppin phase) and a canted antiferromagnetic phase…

介观与纳米尺度物理 · 物理学 2015-06-24 K. Hasebe

Quantum gases are used to simulate the physics of the lowest Landau level (LLL) with neutral atoms, which in the simplest setup is achieved by rotating the gas at the confining harmonic trap frequency, a requirement that is difficult to…

量子气体 · 物理学 2025-09-29 Viktor Bekassy , Mikael Fogelström , Johannes Hofmann

One of the central tenets of the theory of the fractional quantum Hall effect is that the bulk quantized Hall response requires the existence of a gapless chiral edge mode. The field theoretical arguments for this rely on locality. While…

介观与纳米尺度物理 · 物理学 2025-08-26 Daniel Spasic-Mlacak , Nigel R. Cooper

We propose a model of spin-polarized-current state for electrons in bilayer graphene. The model resolves the puzzles as revealed by experiments that (a) the energy gap $E_{\rm gap}$ of the insulating ground state at the charge neutrality…

强关联电子 · 物理学 2014-05-14 Xin-Zhong Yan , C. S. Ting

We study magnetic properties of itinerant quantum magnetic particles described by a generalized Hubbard model with large spin ($S>1/2$) which may be realized in optical lattices of laser-cooled atom systems. In fermion systems (half-integer…

强关联电子 · 物理学 2015-05-14 Seiji Miyashita , Masao Ogata , Hans De Raedt

We present a quantum theory for one-dimensional spin-1/2 multiferroics, where the vector spin chirality couples with the electric polarization. Based on exact diagonalization and bosonization, it is shown that quantum fluctuations…

强关联电子 · 物理学 2008-12-10 Shunsuke Furukawa , Masahiro Sato , Yasuhiro Saiga , Shigeki Onoda

We describe the invariant structure common to abelian fractional quantum Hall systems with spin. It appears in a generalization of the lattice description of the polarized hierarchy that encompasses both partially polarized and unpolarized…

介观与纳米尺度物理 · 物理学 2009-10-28 M. Milovanovic , N. Read

We propose a series of paired spin-singlet quantum Hall states, which exhibit a separation of spin and charge degrees of freedom. The fundamental excitations over these states, which have filling fraction \nu=2/(2m+1) with m an odd integer,…

介观与纳米尺度物理 · 物理学 2007-05-23 E. Ardonne , F. J. M. van Lankvelt , A. W. W. Ludwig , K. Schoutens

Recent experiments on strongly correlated bilayer quantum Hall systems strongly suggest that, contrary to the usual assumption, the electron spin degree of freedom is not completely frozen either in the quantum Hall or in the compressibles…

介观与纳米尺度物理 · 物理学 2009-06-09 J. Bourassa , B. Roostaei , R. Cote , H. A. Fertig , K. Mullen