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The tunneling density of states exhibits anomalies (cusps, algebraic suppressions, and pseudogaps) at the Fermi energy in a wide variety of low-dimensional and strongly correlated electron systems. We argue that in many cases these spectral…

Strongly Correlated Electrons · Physics 2009-11-11 Kelly R. Patton , Michael R. Geller

A general nonperturbative theory of the low-energy electron propagator is developed and used to calculate the single-particle density of states in a variety of systems. This method involves the decoupling of the electron-electron…

Strongly Correlated Electrons · Physics 2008-09-17 Kelly R. Patton

Recently, Dial et al. presented measurements of the tunneling density of states into the bulk of a two dimensional electron gas under strong magnetic fields. Several high energy features appear in the measured spectrum showing a distinct…

Strongly Correlated Electrons · Physics 2015-05-20 Gilad Barak , Amir Yacoby , Yigal Meir

We investigate the influence of electron--electron interactions on the density of states of a ballistic two--dimensional electron gas. The density of states is determined nonperturbatively by means of path integral techniques allowing for…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Joerg Rollbuehler , Hermann Grabert

We study the tunneling between two quantum Hall systems, along a quasi one-dimensional interface. A detailed analysis relates microscopic parameters, characterizing the potential barrier, with the effective field theory model for the…

Condensed Matter · Physics 2009-10-22 D. G. Barci , L. Moriconi

We investigate the response of a two-dimensional electron gas, in the fractional quantum Hall regime, to the sudden appearance of a localised charged probe using the Chern-Simons theory of composite fermions. The dynamic structure factor of…

Strongly Correlated Electrons · Physics 2009-10-31 Darren J. T. Leonard , Neil F. Johnson

We report on a study of interaction effects in the tunneling density-of-states of a disordered two-dimensional electron gas in the strong magnetic field limit where only the lowest Landau level is occupied. Interactions in the presence of…

Condensed Matter · Physics 2007-05-23 Eric Yang , A. H. MacDonald

In previous work we have proposed that the non-Fermi-liquid spectral properties in a variety of low-dimensional and strongly correlated electron systems are caused by the infrared catastrophe, and we used an exact functional integral…

Strongly Correlated Electrons · Physics 2009-11-11 Kelly R. Patton , Michael R. Geller

We show that gapless plasmons lead to a universal $(\delta\nu(\epsilon)/\nu\propto |\epsilon|/E_F)$ correction to the tunneling density of states of a clean two dimensional Coulomb interacting electron gas. We also discuss a counterpart of…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 D. V. Khveshchenko , Michael Reizer

We study tunneling into interacting disordered two-dimensional electron gas in a non-quantizing magnetic field, which does not cause the standard de Haas-- van Alphen oscillations. Interaction induces a new type of oscillations in the…

Condensed Matter · Physics 2009-10-28 A. M. Rudin , I. L. Aleiner , L. I. Glazman

We study the intra-planar tunneling between quantum Hall samples separated by a quasi one-dimensional barrier, induced through the interaction of edge degrees of freedom with the charge density waves of a Hall crystal defined in a parallel…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 L. Moriconi

The double-layer electron system with total filling factor $\nu=1/2$ can be regarded as two separate Fermi-liquid-like states with $\nu=1/4$ when the layer separation is sufficiently large and there is no tunneling. The weak tunneling in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Victor Gurarie , Yong Baek Kim

Tunnelling density of states in the vicinity of Fermi level of a two-dimensional electron gas subjected to an external parallel and zeroth magnetic field is calculated. It reveals a pseudo-gap recently observed in the experiments. The gap…

Strongly Correlated Electrons · Physics 2015-06-24 V. Vyurkov , A. Vetrov , V. Ryzhii

At strong magnetic fields double-layer two-dimensional-electron-gas systems can form an unusual broken symmetry state with spontaneous inter-layer phase coherence. The system can be mapped to an equivalent system of pseudospin $1/2$…

Condensed Matter · Physics 2009-10-28 Kun Yang , K. Moon , Lotfi Belkhir , H. Mori , S. M. Girvin , A. H. MacDonald , L. Zheng , D. Yoshioka

We present a composite fermion theory of tunneling into the edge of a compressible quantum Hall system. The tunneling conductance is non-ohmic, due to slow relaxation of electromagnetic and Chern-Simons field disturbances caused by the…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 A. V. Shytov , L. S. Levitov , B. I. Halperin

We have introduced a controllable nano-scale incursion into a potential barrier imposed across a two-dimensional electron gas, and report on the phenomena that we observe as the incursion develops. In the quantum Hall regime, the…

Tunneling of fractionally charged quasi-particles (QPs) through a barrier is considered in the context of a multiply connected geometry. In this geometry global constraints do not prohibit such a tunneling process. The tunneling amplitude…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Elad Shopen , Yuval Gefen , Yigal Meir

We use a method of matched asymptotics to determine the energy gap of two counter-propagating, strongly interacting, quantum Hall edge states. The microscopic edge state dispersion and Coulomb interactions are used to precisely constrain…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Marcus Kollar , Subir Sachdev

We study the Coulomb pseudogap for tunneling into the two-dimensional electron system of high-mobility (Al,Ga)As/GaAs heterojunctions subjected to a quantizing magnetic field at filling factor $\nu \leq 1$. Tunnel current-voltage…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. V. Deviatov , A. A. Shashkin , V. T. Dolgopolov , W. Hansen , M. Holland

A new technique permits high fidelity measurement of the tunneling density of states (TDOS) of the two-dimensional electron gas. The obtained TDOS contains no distortions arising from low 2D in-plane conductivity and includes the…

Mesoscale and Nanoscale Physics · Physics 2009-01-23 H. B. Chan , P. I. Glicofridis , R. C. Ashoori , M. L. Melloch
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