AC-field-induced quantum phase transitions in density of states

AbstractWe investigate the joint effects of the intralead electron interaction and an external alternating gate voltage on the time-averaged local density of states (DOSs) of a quantum dot coupled to two Luttinger-liquid leads in the Kondo regime. A rich dependence of the DOSs on the driving amplitude and intralead interaction is demonstrated. We show that the feature is quite different for different interaction strengths in the presence of the ac field. It is shown that the photon-assisted transport processes cause an additional splitting of the Kondo peak or dip, which exhibits photon-assisted single-channel (1CK) or two-channel Kondo (2CK) physics behavior. The phase transition between photon-assisted 1CK and 2CK physics occurs when the interaction strength is moderately strong. The inelastic channels associated with photon-assisted electron tunneling can dominate electron transport for weak interaction when the ac amplitude is greater than the frequency by one order of magnitude. In the limit of strong interaction the DOSs scale as a power-law behavior which is strongly affected by the ac field.

[1]  Jian Wang,et al.  Current Partition: A Nonequilibrium Green's Function Approach , 1999 .

[2]  Time-dependent transport through a mesoscopic structure. , 1993, Physical review. B, Condensed matter.

[3]  Kai Yang,et al.  Phonon-assisted zero bias anomaly in a single-molecule quantum dot coupled to the Luttinger liquid leads , 2014 .

[4]  Resonant tunneling through a quantum dot weakly coupled to quantum wires or quantum Hall edge states , 1997, cond-mat/9712054.

[5]  C. Lacroix Density of states for the Anderson model , 1981 .

[6]  Jian Wang,et al.  Photon-assisted Andreev tunneling through a mesoscopic hybrid system , 1999 .

[7]  J. M. Luttinger An Exactly Soluble Model of a Many‐Fermion System , 1963 .

[8]  Kai Yang,et al.  Density of states of a strongly correlated quantum dot coupled to Luttinger liquid leads , 2013 .

[9]  S. Shafranjuk Probing the intrinsic state of a one-dimensional quantum well with photon-assisted tunneling , 2008, 0809.4474.

[10]  Lake,et al.  Resonances in transmission through an oscillating barrier. , 1992, Physical review. B, Condensed matter.

[11]  Hartmut Haug,et al.  Quantum Kinetics in Transport and Optics of Semiconductors , 2004 .

[12]  P. Orellana,et al.  Photon-assisted transport in a carbon nanotube calculated using Green's function techniques , 2006, cond-mat/0611378.

[13]  F. Haldane,et al.  Luttinger liquid theory of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas , 1981 .

[14]  Yijing Yan,et al.  Numerical approach to time-dependent quantum transport and dynamical Kondo transition. , 2009, The Journal of chemical physics.

[15]  Lee,et al.  Low-temperature transport through a quantum dot: The Anderson model out of equilibrium. , 1993, Physical review letters.

[16]  C. Chung,et al.  Quantum criticality in a Kondo quantum dot coupled to helical edge states of interacting 2D topological insulators , 2012, 1201.5610.

[17]  Photon-assisted transport in semiconductor nanostructures , 2003, cond-mat/0311001.

[18]  A. Goker Kondo resonance in an AC driven quantum dot subjected to finite bias , 2008, 0804.3967.

[19]  Chu,et al.  Quantum transport in the presence of a finite-range time-modulated potential. , 1996, Physical review. B, Condensed matter.

[20]  W. V. D. Wiel,et al.  Electron transport through double quantum dots , 2002, cond-mat/0205350.

[21]  Kang,et al.  Equation-of-motion treatment of the impurity Anderson model with a finite on-site Coulomb repulsion. , 1995, Physical Review B (Condensed Matter).

[22]  Yijing Yan,et al.  Exact dynamics of dissipative electronic systems and quantum transport: Hierarchical equations of motion approach. , 2007, The Journal of chemical physics.

[23]  Yijing Yan,et al.  Dynamic Coulomb blockade in single-lead quantum dots , 2008, 0807.4282.

[24]  Charging effects in ultrasmall quantum dots in the presence of time-varing fields. , 1993, Physical review letters.

[25]  Kai Yang,et al.  Power-law behavior in electron transport through a quantum dot with Luttinger liquid leads , 2014 .

[26]  Time-Dependent Transport in Mesoscopic Structures , 1999, cond-mat/9909126.

[27]  Yijing Yan,et al.  Dynamic electronic response of a quantum dot driven by time-dependent voltage. , 2008, The Journal of chemical physics.

[28]  M. Vojta,et al.  Tunable Kondo-Luttinger systems far from equilibrium , 2010, 1002.1757.

[29]  Ng ac response in the nonequilibrium Anderson impurity model. , 1996, Physical review letters.

[30]  Yijing Yan,et al.  Complex non-Markovian effect on time-dependent quantum transport. , 2009, The Journal of chemical physics.

[31]  N. E. Bickers Review of techniques in the large-N expansion for dilute magnetic alloys , 1987 .

[32]  K. T. Law,et al.  Quantum dot in a two-dimensional topological insulator: The two-channel Kondo fixed point , 2009, 0904.2262.

[33]  J. P. Gordon,et al.  Multiphoton Process Observed in the Interaction of Microwave Fields with the Tunneling between Superconductor Films , 1963 .

[34]  P. Hänggi,et al.  Driven quantum tunneling , 1998 .

[35]  Photon-assisted tunneling through a quantum dot , 1994 .

[36]  Kai Yang,et al.  The zero-bias anomaly conductance of a strongly correlated dot coupled to Luttinger liquid leads , 2013 .

[37]  Baigeng Wang,et al.  Spin pump in the presence of a superconducting lead , 2004 .

[38]  Meir,et al.  Anderson model out of equilibrium: Noncrossing-approximation approach to transport through a quantum dot. , 1994, Physical review. B, Condensed matter.

[39]  M. Rooks,et al.  OBSERVATION OF PHOTON-ASSISTED SHOT NOISE IN A PHASE-COHERENT CONDUCTOR , 1998 .

[40]  Kai Yang,et al.  Photon-assisted shot noise through a quantum dot coupled to Luttinger liquid , 2011 .

[41]  R. Świrkowicz,et al.  Spin-polarized transport through a single-level quantum dot in the Kondo regime , 2005, cond-mat/0501605.

[42]  Driven quantum transport on the nanoscale , 2004, cond-mat/0409251.

[43]  Kai Yang,et al.  Phonon-assisted tunneling and two-channel Kondo effect in a vibrating molecular dot coupled to Luttinger liquid leads , 2014 .

[44]  Nonlinear Response of a Kondo System: Direct and Alternating Tunneling Currents , 1997, cond-mat/9710085.