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Pairing interaction between fermionic particles leads to composite Bosons that condense at low temperature. Such condensate gives rise to long range order and phase coherence in superconductivity, superfluidity, and other exotic states of…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 J. I. A. Li , Q. Shi , Y. Zeng , K. Watanabe , T. Taniguchi , J. Hone , C. R. Dean

Motivated by the quasiparticle wavefunction in the composite fermion (CF) theory for fractional quantum Hall filling factor $\nu = 1/m$, I consider a suitable quasiparticle operator in differential form, as a modified form of Laughlin's…

Mesoscale and Nanoscale Physics · Physics 2019-06-12 Sudhansu S. Mandal

In a large number of rare-earth and actinide systems, Kondo effect tends to suppress magnetic order by making the spin singlet between localized and conduction electron spins. In the presence of orbital degrees of freedom, however, there…

Strongly Correlated Electrons · Physics 2016-08-16 Yoshio Kuramoto

Composite fermions (CFs), exotic particles formed by pairing an even number of flux quanta to each electron, provide a fascinating description of phenomena exhibited by interacting two-dimensional electrons at high magnetic fields. At and…

Mesoscale and Nanoscale Physics · Physics 2019-12-06 D. Kamburov , Yang Liu , M. A. Mueed , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

By separating the Schr\"odinger equation for $N$ noninteracting spin-polarized fermions in two-dimensional hyperspherical coordinates, we demonstrate that fractional quantum Hall (FQH) states emerge naturally from degeneracy patterns of the…

Strongly Correlated Electrons · Physics 2015-09-30 K. M. Daily , R. E. Wooten , Chris H. Greene

We report the results of two fundamental transport measurements at a Landau level filling factor $\nu$ of 1/2. The well known ballistic electron transport phenomena of quenching of the Hall effect in a mesoscopic cross-junction and negative…

Condensed Matter · Physics 2009-10-28 J. E. F. Frost , C. -T. Liang , D. R. Mace , M. Y. Simmons , D. A. Ritchie , M. Pepper

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

The normal-state behavior of the temperature-dependent Hall coefficient in cuprate superconductors is investigated using linear response theory. The Hall conductivity is of paramount importance in that its sign and magnitude directly…

Superconductivity · Physics 2019-04-10 Rufus Boyack , Xiaoyu Wang , Qijin Chen , K. Levin

The enigmatic pseudogap phase in underdoped cuprate high T_c superconductors has long been recognized as a central puzzle of the T_c problem. Recent data show that the pseudogap is likely a distinct phase, characterized by a medium range…

Strongly Correlated Electrons · Physics 2014-07-31 Patrick A. Lee

Monolayer (ML) semiconducting transition-metal dichalcogenides (TMDs) represent a unique class of two-dimensional (2D) electron systems. Their atomically thin structure -- just like graphene -- facilitates gate-tunability, while the sizable…

Recent variational studies have demonstrated that the strongly correlated ground states of the fractional quantum Hall (FQH) effect can be captured using machine learning approaches starting from no prior knowledge of the underlying…

Strongly Correlated Electrons · Physics 2025-12-02 Mytraya Gattu

We consider quantum Hall states at even-denominator filling fractions, especially $\nu=5/2$, in the limit of small Zeeman energy. Assuming that a paired quantum Hall state forms, we study spin ordering and its interplay with pairing. We…

Mesoscale and Nanoscale Physics · Physics 2010-09-16 Ivailo Dimov , Bertrand I. Halperin , Chetan Nayak

Fractional quantum Hall states at a half-filled Landau level are believed to carry an integer number $\mathcal{C}$ of chiral Majorana edge modes, reflected in their thermal Hall conductivity. We show that this number determines the primary…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 Evgenii Zheltonozhskii , Ady Stern , Netanel H. Lindner

Understanding superconductivity emerging from repulsive fermions remains a major challenge in condensed matter physics. In this paper, we investigate the pairing tendencies in a one-dimensional, three component repulsive Hubbard model,…

Superconductivity · Physics 2025-12-10 Sheng Chen , Qiao Yang , Wéi Wú , Fadi Sun

The Moore-Read Pfaffian $\nu=5/2$ quantum Hall state is a p-wave super-conductor of composite fermions. Small deviations from $\nu=5/2$ result in the formation of an array of vortices within this super-conductor, each supporting a Majorana…

Mesoscale and Nanoscale Physics · Physics 2011-03-30 Eytan Grosfeld , Ady Stern

In this paper, the density-matrix renormalization group method is employed to investigate the fractional quantum Hall effect at filling fractions $\nu=1/3$ and 5/2. We first present benchmark results at both filling fractions for large…

Strongly Correlated Electrons · Physics 2012-01-13 Jize Zhao , D. N. Sheng , F. D. M. Haldane

Motivated by the experimental results of Willett et al [Phys.Rev. Lett., {\bf 78}, 4478 (1997)] we develop a magneto-transport theory for the response of a two dimensional electron gas (2DEG) in the Fractional Quantum Hall Regime near…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Nataliya A. Zimbovskaya , Joseph L. Birman

Superconductivity is a quantum phenomena arising, in its simplest form, from pairing of fermions with opposite spin into a state with zero net momentum. Whether superconductivity can occur in fermionic systems with unequal number of two…

Superconductivity · Physics 2015-06-22 H. Mayaffre , S. Kramer , M. Horvatić , C. Berthier , K. Miyagawa , K. Kanoda , V. F. Mitrović

Two-component fractional quantum Hall systems are providing a major motivation for a large section of the physics community. Here we study two-component fractional quantum Hall systems in the spin-polarized half-filled lowest Landau level…

Mesoscale and Nanoscale Physics · Physics 2010-12-10 Michael R. Peterson , Z. Papic , S. Das Sarma

The superconducting diode effect (SDE) is a magneto-electric phenomenon where an external magnetic field imparts a non-zero center-of-mass momentum to Cooper pairs, either facilitating or hindering the flow of supercurrent depending on its…

Superconductivity · Physics 2024-10-18 Benedikt Scharf , Denis Kochan , Alex Matos-Abiague