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In a recent paper [Phys.Rev.Lett. 82, 3665 (1999)], magnetic field driven spin transitions in fractional quantum Hall (FQH) states were reported, and in particular, at filling factors 2/3 and 2/5, weak features were observed at half…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 V. M. Apalkov , T. Chakraborty , P. Pietilainen , K. Niemela

Using a tilted field geometry, the effect of an in-plane magnetic field on the even denominator nu = 5/2 fractional quantum Hall state is studied. The energy gap of the nu = 5/2 state is found to collapse linearly with the in-plane magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-07-22 C. R. Dean , B. A. Piot , P. Hayden , S. Das Sarma , G. Gervais , L. N. Pfeiffer , K. W. West

The fractional quantum Hall effect (FQHE) at filling 5/2, which is usually understood as a $p$-wave paired state of underlying quasiparticles - composite fermions, transforms into a nematic phase under pressure \cite{csathy0, csathy}. A…

Strongly Correlated Electrons · Physics 2025-11-26 M. V. Milovanović

We derive the effective Hamiltonian for the composite fermion in double-layer quantum Hall systems with inter-layer tunneling at total Landau-level filling factor $\nu=1/m$, where $m$ is an integer. We find that the ground state is the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Takao Morinari

A modest in-plane magnetic field \Bpar\ is sufficient to destroy the fractional quantized Hall states at $\nu = 5/2$ and 7/2 and replace them with anisotropic compressible phases. Remarkably, we find that at larger \Bpar\ these anisotropic…

Strongly Correlated Electrons · Physics 2010-10-26 Jing Xia , Vaclav Cvicek , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We show that the recently discovered $\nu=1/2$ quantum Hall states in bilayer systems are triplet p-wave pairing states of composite Fermions, of exactly the same form as $^{3}$He superfluids. The observed persistence (though weakening) of…

Condensed Matter · Physics 2016-08-31 Tin-Lun Ho

We present a generalization of the composite Fermion picture for a muticomponent quantum Hall plasma which contains particle with different effective charges. The model predicts very well the low-lying states of a $\nu=5/2$ quantum Hall…

Strongly Correlated Electrons · Physics 2015-05-14 George E. Simion , John J. Quinn

We develop a phenomenological description of the nu=5/2 quantum Hall state in which the Halperin-Lee-Read theory of the half-filled Landau level is combined with a p-wave pairing interaction between composite fermions (CFs). The…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Kerwin C. Foster , N. E. Bonesteel , Steven H. Simon

We provide numerical evidence for composite fermion pairing in quantum Hall bilayer systems at filling $\nu=1/2 + 1/2$ for intermediate spacing between the layers. We identify the phase as $p_x + i p_y$ pairing, and construct high accuracy…

Mesoscale and Nanoscale Physics · Physics 2008-10-24 Gunnar Moller , Steven H. Simon , Edward H. Rezayi

In this paper we study fractional quantum Hall composite fermion wavefunctions at filling fractions \nu = 2/3, 3/5, and 4/7. At each of these filling fractions, there are several possible wavefunctions with different spin polarizations,…

Mesoscale and Nanoscale Physics · Physics 2012-06-06 Simon C. Davenport , Steven H. Simon

We discuss the possibility of the quantum Hall effect at half-filled Landau level in terms of the pairing of the composite fermions. In the absence of Coulomb energy, we show that the ground state of the system is described by the {\it…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Takao Morinari

The properties of the isotropic incompressible $\nu=5/2$ fractional quantum Hall (FQH) state are described by a paired state of composite fermions in zero (effective) magnetic field, with a uniform $p_x+ip_y$ pairing order parameter, which…

Strongly Correlated Electrons · Physics 2019-06-19 Luiz H. Santos , Yuxuan Wang , Eduardo Fradkin

Charge density waves with unconventional order parameters, for instance, with d-wave symmetry (DDW), may be relevant in the underdoped regime of high-T_c cuprates or other quasi-one or two dimensional metals. A DDW state is characterized by…

Strongly Correlated Electrons · Physics 2007-05-23 D. N. Aristov , R. Zeyher

We consider three states which are likely to be realized in bi-layer quantum Hall systems at total Landau level filling fraction ${\nu_T}=1$. Two of these states may be understood as paired states. One can occur as an instability of a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yong Baek Kim , Chetan Nayak , Eugene Demler , Sankar Das Sarma

Transport measurements under a tilted magnetic field were performed on a series of C-doped (001) AlGaAs/GaAs/AlGaAs two-dimensional hole samples. Due to a large g-factor, Zeeman energy is large and comparable to the cyclotron energy in…

Mesoscale and Nanoscale Physics · Physics 2017-05-03 Po Zhang , Ruiyuan Liu , Rui-Rui Du , L. N. Pfeiffer , K. W. West

We consider the two lowest Landau levels at half filling. In the higher Landau level (nu =5/2), we find a first order phase transition separating a compressible striped phase from a paired quantum Hall state, which is identified as the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. H. Rezayi , F. D. M. Haldane

We consider a number of strongly-correlated quantum Hall states which are likely to be realized in bilayer quantum Hall systems at total Landau level filling fraction ${\nu_T}=1$. One state, the $(3,3,-1)$ state, can occur as an instability…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yong Baek Kim , Chetan Nayak , Eugene Demler , N. Read , S. Das Sarma

We observe geometric resonance features of composite fermions on the flanks of the even denominator {\nu} = 1/2 fractional quantum Hall state in high-mobility two-dimensional electron and hole systems confined to wide GaAs quantum wells and…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 M. A. Mueed , D. Kamburov , S. Hasdemir , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

The even denominator fractional quantum Hall effect has been experimentally observed in graphene in the fourth Landau level ($n = 3$). This paper is motivated by recent studies regarding the possibility of pairing and the nature of the…

Strongly Correlated Electrons · Physics 2025-02-14 Sonja Predin

We study the fractional quantum Hall states in the tilted magnetic field. A many-particle wavefunction of the ground state, which is similar to that of Laughlin's, is constructed in the Landau gauge. We show that in the limit of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Shi-JIe Yang , Yue Yu , Jin-Bin Li
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