Mutual Composite Fermion and composite Boson approaches to balanced and imbalanced bilayer quantum Hall system: an electronic analogy of the Helium 4 system

Details Mutual Composite Fermion and composite Boson approaches to balanced and imbalanced bilayer quantum Hall system: an electronic analogy of the Helium 4 system Mutual Composite Fermion and composite Boson approaches to balanced and imbalanced bilayer quantum Hall system: an electronic analogy of the Helium 4 system

2003-10-22

arxiv.org/abs/cond-mat/0310512v8

Annals of Physics, 323 (2008), 580-630.

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

29 PRB pages, 18 figures, 2 tables, REVTEX4

Scientific paper

We use both Mutual Composite Fermion (MCF) and Composite Boson (CB) approach to study balanced and im-balanced Bi-Layer Quantum Hall systems (BLQH) and make critical comparisons between the two approaches. We find the CB approach is superior to the MCF approach in studying ground states with different kinds of broken symmetries. In the phase representation of the CB theory, we first study the Excitonic superfluid state (ESF). The theory puts spin and charge degree freedoms in the same footing, explicitly bring out the spin-charge connection and classify all the possible excitations in a systematic way. Then in the dual density representation of the CB theory, we study possible intermediate phases as the distance increases. We propose there are two critical distances $ d_{c1} < d_{c2} $ and three phases as the distance increases. When $ 0 < d < d_{c1} $, the system is in the ESF state which breaks the internal $ U(1) $ symmetry, when $ d_{c1} < d < d_{c2} $, the system is in an Pseudo-spin density wave (PSDW) state which breaks the translational symmetry, there is a first order transition at $ d_{c1} $ driven by the collapsing of magneto-roton minimum at a finite wavevector in the pseudo-spin channel. When $ d_{c2} < d < \infty $, the system becomes two weakly coupled $ \nu =1/2 $ Composite Fermion Fermi Liquid (FL) state. There is also a first order transition at $ d= d_{c2} $. We construct a quantum Ginzburg Landau action to describe the transition from ESF to PSDW which break the two completely different symmetries. By using the QGL action, we explicitly show that the PSDW takes a square lattice and analyze in detail the properties of the PSDW at zero and finite temperature.

Affiliated with

Also associated with

No associations

Rating

Mutual Composite Fermion and composite Boson approaches to balanced and imbalanced bilayer quantum Hall system: an electronic analogy of the Helium 4 system does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Mutual Composite Fermion and composite Boson approaches to balanced and imbalanced bilayer quantum Hall system: an electronic analogy of the Helium 4 system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mutual Composite Fermion and composite Boson approaches to balanced and imbalanced bilayer quantum Hall system: an electronic analogy of the Helium 4 system will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-664690