Interacting adiabatic quantum motor

  title={Interacting adiabatic quantum motor},
  author={Anton Bruch and Silvia Viola Kusminskiy and Gil Refael and Felix von Oppen},
  journal={Physical Review B},
We present a field theoretic treatment of an adiabatic quantum motor. We explicitly discuss a motor termed Thouless motor which is based on a Thouless pump operating in reverse. When a sliding periodic potential is considered as the motor degree of freedom, a bias voltage applied to the electron channel sets the motor in motion. We investigate a Thouless motor whose electron channel is modeled as a Luttinger liquid. Interactions increase the gap opened by the periodic potential. For an infinite… Expand

Figures from this paper

Enhanced performance of a quantum-dot-based nanomotor due to Coulomb interactions
We study the relation between quantum pumping of charge and the work exchanged with the driving potentials in a strongly interacting ac-driven quantum dot. We work in the large-interaction limit andExpand
Thermodynamic bounds on coherent transport in periodically driven conductors
We establish a family of new thermodynamic constraints on heat and particle transport in coherent multi-terminal conductors subject to slowly oscillating driving fields as well as moderate electricalExpand
Thermodynamics and Steady State of Quantum Motors and Pumps Far from Equilibrium
A general order-by-order scheme based on energy conservation is derived to rationalize how every order of the expansion of one form of energy flux is connected with the others of the system when beyond-first-order expansions are required. Expand
Current-induced rotations of molecular gears
Downsizing of devices opens the question of how to tune not only their electronic properties, but also of how to influence ‘mechanical’ degrees of freedom such as translational and rotationalExpand
The Problem of Engines in Statistical Physics
Engines are open systems that can generate work cyclically at the expense of an external disequilibrium. They are ubiquitous in nature and technology, but the course of mathematical physics over theExpand
Quantum thermodynamics of nanoscale thermoelectrics and electronic devices
This mini-review is intended as a short introduction to electron flow in nanostructures. Its aim is to provide a brief overview of this topic for people who are interested in the thermodynamics ofExpand
Mechanical Transmission of Rotational Motion between Molecular-Scale Gears
Manipulating and coupling molecule gears is the first step towards realizing molecular-scale mechanical machines. Here, we theoretically investigate the behavior of such gears using molecularExpand
Role of coherence in quantum-dot-based nanomachines within the Coulomb blockade regime
During the last decades, quantum dots within the Coulomb blockade regime of transport have been proposed as essential building blocks for a wide variety of nanomachines. This includes thermoelectricExpand
Coherent Transport in Periodically Driven Mesoscopic Conductors: From Scattering Amplitudes to Quantum Thermodynamics
Abstract Scattering theory is a standard tool for the description of transport phenomena in mesoscopic systems. Here, we provide a detailed derivation of this method for nano-scale conductors thatExpand
Geometric properties of adiabatic quantum thermal machines
A quantum thermal machine can be controlled by time-periodic perturbations that define a cycle, as in conventional macroscopic thermal machines. This paper presents a general and unified approach toExpand


Nanomagnet coupled to quantum spin Hall edge: An adiabatic quantum motor
Abstract The precessing magnetization of a magnetic islands coupled to a quantum spin Hall edge pumps charge along the edge. Conversely, a bias voltage applied to the edge makes the magnetizationExpand
Adiabatic quantum motors.
This work considers the inverse effect in which a transport current drives a periodic variation of an adiabatic degree of freedom and relates the work performed per cycle on the motor degree offreedom to characteristics of the underlying quantum pump and discusses the motors' efficiency. Expand
Noiseless manipulation of helical edge state transport by a quantum magnet
The current through a helical edge state of a quantum-spin-Hall insulator may be fully transmitted through a magnetically gapped region due to a combination of spin-transfer torque and spin pumpingExpand
Transport in a one-channel Luttinger liquid.
  • Kane, Fisher
  • Physics, Medicine
  • Physical review letters
  • 1992
It is shown that for repulsive electron interactions, the electrons are completely reflected by even the smallest scatterer, leading to a truly insulating weak link, in striking contrast to that for noninteracting electrons. Expand
Helical liquid and the edge of quantum spin Hall systems.
A no-go theorem is proved which states that a helical liquid with an odd number of components cannot be constructed in a purely 1D lattice system. Expand
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
The explicitly soluble Luttinger model is used as a basis for the description of the general interacting Fermi gas in one dimension, which will be called 'Luttinger liquid theory', by analogy withExpand
Spin-transfer torque and electric current in helical edge states in quantum spin Hall devices
We study the dynamics of a quantum spin Hall edge coupled to a magnet with its own dynamics. Using spin transfer torque principles, we analyze the interplay between spin currents in the edge stateExpand
Scattering theory of adiabatic reaction forces due to out-of-equilibrium quantum environments
The Landauer-Buttiker theory of mesoscopic conductors was recently extended to nanoelectromechanical systems. In this extension, the adiabatic reaction forces exerted by the electronic degrees ofExpand
Field-induced gap and quantized charge pumping in a nanoscale helical wire
We propose several physical phenomena based on nanoscale helical wires. Applying a static electric field transverse to the helical wire induces a metal to insulator transition, with the band gapExpand
Transport in an inhomogeneous interacting one-dimensional system.
  • Safi, Schulz
  • Physics, Medicine
  • Physical review. B, Condensed matter
  • 1995
Transport through a clean one-dimensional wire of interacting electrons connected to semi-infinite leads is investigated using a bosonization approach and the dc conductance is found to be entirely determined by the properties of the leads. Expand