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A system at filling factor 2/3 could be a candidate for a quantum Hall ferromagnet at integer filling factor of composite fermions. Using exact diagonalization with electrons on a torus we study the transition from the singlet ground state…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Karel Vyborny

The ground-state and low-energy excitations of quantum Hall systems are studied by the density matrix renormalization group (DMRG) method. From the ground-state pair correlation functions and low-energy excitions, the ground-state phase…

Strongly Correlated Electrons · Physics 2009-06-08 Naokazu Shibata

The competition between the Zeeman energy and the Rashba and Dresselhaus spin-orbit couplings is studied for fractional quantum Hall states by including correlation effects. A transition of the direction of the spin-polarization is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Chesi , D. Loss

We study the fractional quantum Hall effect at filling fractions 7/3 and 5/2 in the presence of the spin-orbit interaction, using the exact diagonalization method and the density matrix renormalization group (DMRG) method in a spherical…

Strongly Correlated Electrons · Physics 2010-10-28 T. Ito , K. Nomura , N. Shibata

We report a theoretical analysis of the half-polarized quantum Hall states observed in a recent experiment. Our numerical results indicate that the ground state energy of the quantum Hall $\nu= 2/3$ and $\nu= 2/5$ states versus spin…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. M. Apalkov , T. Chakraborty , P. Pietilainen , K. Niemela

In a quantum Hall ferromagnet, the spin polarization of the two-dimensional electron system can be dynamically transferred to nuclear spins in its vicinity through the hyperfine interaction. The resulting nuclear field typically acts back…

We have studied the partially spin-polarized fractional quantum Hall states using Chern Simon's theory and plasma picture proposed by Halperin. Using these theoretical techniques we have tried to find the stable polarized states of…

Mesoscale and Nanoscale Physics · Physics 2018-11-27 Moumita Indra , Debashis Das , Dwipesh Majumder

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

We compare quantum Hall systems at filling factor 2 to those at filling factors 2/3 and 2/5, corresponding to the exact filling of two lowest electron or composite fermion (CF) Landau levels. The two fractional states are examples of CF…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. Vyborny , O. Certik , D. Pfannkuche , D. Wodzinski , A. Wojs , J. J. Quinn

Motivated by recent experiments that reveal expansive fractional quantum Hall states in the $n=1$ graphene Landau level and suggest a nontrivial role of the spin degree of freedom [Amet {\em et al.}, Nat. Common. {\bf 6}, 5838 (2014)], we…

Strongly Correlated Electrons · Physics 2018-02-20 Ajit C. Balram , Csaba Tőke , A. Wójs , J. K. Jain

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 propose a new effective field theory for partially polarized quantum Hall states. The density and polarization for the mean field ground states are determined by couplings to two Chern-Simons gauge fields. In addition there is a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. H. Hansson , A. Karlhede , J. M. Leinaas , U. Nilsson

The residual interaction between composite fermions (CFs) can express itself through higher order fractional Hall effect. With the help of diagonalization in a truncated composite fermion basis of low-energy many-body states, we predict…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Chia-Chen Chang , Sudhansu S. Mandal , Jainendra K. Jain

We consider the effect of contact interaction in a prototypical quantum spin Hall system of pseudo-spin-1/2 particles. A strong effective magnetic field with opposite directions for the two spin states restricts two-dimensional particle…

Quantum Gases · Physics 2014-02-18 O. Fialko , J. Brand , U. Zuelicke

We report on results of numerical studies of the spin polarization of the half filled second Landau level, which corresponds to the fractional quantum Hall state at filling factor $\nu=5/2$. Our studies are performed using both exact…

Mesoscale and Nanoscale Physics · Physics 2009-04-01 A. E. Feiguin , E. Rezayi , Kun Yang , C. Nayak , S. Das Sarma

The activation gap Delta of the fractional quantum Hall state at constant filling n =1/3 is measured in wide range of perpendicular magnetic field B. Despite the full spin polarization of the incompressible ground state, we observe a sharp…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 A. F. Dethlefsen , E. Mariani , H. -P. Tranitz , W. Wegscheider , R. J. Haug

We report the findings of fractional topological states in one-dimensional periodically modulated quantum spin chains with up to third neighbor interactions. By exact numerical studies, we demonstrate the existence of topologically…

Strongly Correlated Electrons · Physics 2016-04-27 Haiping Hu , Huaiming Guo , Shu Chen

We report on our theoretical investigations that point to the possibility of a fractional quantum Hall effect with partial spin polarization at $\nu=3/8$. The physics of the incompressible state proposed here involves p-wave pairing of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. W. Scarola , J. K. Jain , E. H. Rezayi

We derive exact sum-rules that relate the tunneling density of states (TDOS) of spinful electrons in the fractional quantum Hall (FQH) regime to the spin-dependent many body ground state correlation energy. Because the tunneling process is…

Strongly Correlated Electrons · Physics 2019-08-07 Gaurav Chaudhary , Dmitry K. Efimkin , Allan H. MacDonald

We report on an absolute measurement of the electronic spin polarization of the $\nu=1$ integer quantum Hall state. The spin polarization is extracted in the vicinity of $\nu=1$ (including at exactly $\nu=1$) via resistive NMR experiments…

Mesoscale and Nanoscale Physics · Physics 2016-03-22 B. A. Piot , W. Desrat , D. K. Maude , D. Kazazis , A. Cavanna , U. Gennser
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