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At small layer separations, the ground state of a nu=1 bilayer quantum Hall system exhibits spontaneous interlayer phase coherence and has a charged-excitation gap E_g. The evolution of this state with increasing layer separation d has been…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 John Schliemann , S. M. Girvin , A. H. MacDonald

We systematically discuss candidate wave functions for the ground state of the bilayer \nu = 1 as the distance between the layers is varied. Those that describe increased intralayer correlations at finite distance show a departure from the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 M. V. Milovanovic

In condensed matter physics, the study of electronic states with SU(N) symmetry has attracted considerable and growing attention in recent years, as systems with such a symmetry can often have a spontaneous symmetry-breaking effect giving…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. P. Guo , Y. J. Zhao , T. Tu , X. J. Hao , X. C. Zhang , G. C. Guo , H. W. Jiang

The possibility of the existence of states with a spontaneous interlayer phase coherence in multilayer electron systems in a high perpendicular to the layers magnetic field is investigated. It is shown that phase coherence can be…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. I. Shevchenko , D. V. Fil , A. A. Yakovleva

For sufficiently strong in-plane magnetic field a $\nu_T=1$ bilayer quantum Hall pseudo-ferromagnet is expected to exhibit a soliton lattice. For sufficiently close layers and large in-plane field, we predict this incommensurate ``planar''…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Leo Radzihovsky

There is considerable experimental evidence for the existence in Quantum Hall systems of an approximate emergent discrete symmetry, $\Gamma_0(2) \subset SL(2,Z)$. The evidence consists of the robustness of the tests of a suite a predictions…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 C. P. Burgess , B. P. Dolan

We study the phase diagram of quantum Hall bilayer systems with total filing $\nu_T=1/2+1/2$ of the lowest Landau level as a function of layer distances $d$. Based on numerical exact diagonalization calculations, we obtain three distinct…

Strongly Correlated Electrons · Physics 2017-10-25 Zheng Zhu , Liang Fu , D. N. Sheng

We propose a scheme to realize time-reversal symmetry-broken quantum spin Hall insulators using bilayer honeycomb lattices, combining intrinsic spin-orbit coupling, C-type antiferromagnetic ordering, and staggered potentials. The C-type…

Mesoscale and Nanoscale Physics · Physics 2025-05-15 Lizhou Liu , Cheng-Ming Miao , Qing-Feng Sun , Ying-Tao Zhang

We consider a fully spin-polarized quantum Hall system with no interlayer tunneling at total filling factor $\nu=1/k$ (where $k$ is an odd integer) using the Chern-Simons-Ginzburg-Landau theory. Exploiting particle-vortex duality and the…

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

We present the quantitative phase diagram of the bilayer bosonic fractional quantum Hall system on the torus geometry at total filling factor $\nu=1$ in the lowest Landau level. We consider short-range interactions within and between the…

Strongly Correlated Electrons · Physics 2016-03-11 Zhao Liu , Abolhassan Vaezi , Cécile Repellin , Nicolas Regnault

We study the coupled quantum Hall bilayers each at half-filled first excited Landau levels with varying the layer distance. Based on numerical exact diagonalization on torus, we identify two distinct phases separated by a critical layer…

Strongly Correlated Electrons · Physics 2019-05-29 Zheng Zhu , Shao-Kai Jian , D. N. Sheng

Two-dimensional quantum materials can host original electronic phases that arise from the interplay of electronic correlations, symmetry and topology. In particular, the spontaneous breaking of internal symmetry that acts simultaneously on…

We study the properties of two dimensional topological spin hall insulators which arise through spontaneous breakdown of spin symmetry in systems that are spin rotation invariant. Such a phase breaks spin rotation but not time reversal…

Mesoscale and Nanoscale Physics · Physics 2011-09-20 Tarun Grover , T. Senthil

Motivated by a recent experiment (Sanchez-Yamagishi et.al, arXiv:1602.06815) reporting evidence of helical spin-polarized edge states in layer-biased twisted bilayer graphene under a magnetic flux, we study the possibility of stabilising a…

Mesoscale and Nanoscale Physics · Physics 2017-07-13 F. Finocchiaro , F. Guinea , P. San-Jose

The interplay between quantum Hall ordering and spontaneously broken "internal" symmetries in two-dimensional electron systems with spin or pseudospin degrees of freedom gives rise to a variety of interesting phenomena, including novel…

Mesoscale and Nanoscale Physics · Physics 2010-07-22 D. A. Abanin , S. A. Parameswaran , S. A. Kivelson , S. L. Sondhi

We present a microscopic study of the interlayer spacing d versus in-plane magnetic field $B_\parallel$ phase diagram for bilayer quantum Hall (QH) pseudo-ferromagnets. In addition to the interlayer charge balanced commensurate and…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 M. Abolfath , L. Radzihovsky , A. H. MacDonald

We study the correlation energy, the effective anisotropy parameter, and quantum fluctuations of the pseudospin magnetization in bilayer quantum Hall systems at total filling factor nu=1 by means of exact diagonalizations of the Hamiltonian…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 John Schliemann

In this paper we report calculations of some pseudospin textures for bilayer quantum hall systems with filling factor $ \nu =1$. The textures we study are isolated single meron solutions. Meron solutions have already been studied at great…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Sankalpa Ghosh , R. Rajaraman

We use the microscopic Hartree-Fock approximation to investigate various quantum phase transitions associated with possible spontaneous symmetry breaking induced by a tilted magnetic field in the integral quantum Hall regime of wide…

Strongly Correlated Electrons · Physics 2009-11-10 D. -W. Wang , E. Demler , S. Das Sarma

At strong magnetic fields double-layer two-dimensional-electron-gas systems can form an unusual broken symmetry state with spontaneous inter-layer phase coherence. In this paper we explore the rich variety of quantum and finite-temperature…

Condensed Matter · Physics 2009-10-22 K. Moon , H. Mori , Kun Yang , S. M. Girvin , A. H. MacDonald , L. Zheng , D. Yoshioka , Shou-Cheng Zhang