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International Journal of Modern Physics B

ELECTROMAGNETIC RESPONSE AND TRANSPORT PROPERTIES OF GENERALIZED FLUX STATES OF THE DOPED MOTT INSULATOR

Dmitri V. Khveshchenko

Published Feb 28, 1993• 0 citations
Publisher

Abstract

We consider electromagnetic response and kinetic properties of a strongly correlated two-dimensional electron system having parity- and time-reversal symmetry violating ground state. An important example of such a state is presented by a generalized flux phase of the doped Mott insulator with a fictitious magnetic field commensurate with filling. We observe that electromagnetic response functions of the compressible flux states exhibit no superconducting behaviour. Processes of spinon and holon scattering by fluctuations of a fictitious magnetic field produce a relaxation of the system. On the basis of the quantum kinetic equation we find frequency- and momentum-dependent electrical and thermal conductivities and thermopower of a generalized flux phase.

DOI
10.1142/s0217979293002328

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We consider electromagnetic response and kinetic properties of a strongly correlated two-dimensional electron system having parity- and time-reversal symmetry violating ground state. An important example of such a state is presented by a generalized flux phase of the doped Mott insulator with a fictitious magnetic field commensurate with filling. We observe that electromagnetic response functions of the compressible flux states exhibit no superconducting behaviour. Processes of spinon and holon scattering by fluctuations of a fictitious magnetic field produce a relaxation of the system. On the basis of the quantum kinetic equation we find frequency- and momentum-dependent electrical and thermal conductivities and thermopower of a generalized flux phase.
It is shown that the parity-violated ground state of two-dimensional strongly correlated electronic systems (commensurate flux state) provides a physical realization of the anyon mechanism of superconductivity. The electromagnetic response of the commensurate flux state is calculated. It is found that the superconducting ground state is accompanied by the restoration of parity and time-reversal symmetry: the parity-violation signal is very small at low energies and momentum, and vanishes in the static limit as well as in the uniform limit.
We study parity violating states of strongly correlated two-dimensional electronic systems. On the basis of mean field theory for the SU (2N)-symmetric generalization of the system involved we give the arguments supporting the existence of these states at a filling number different from one-half. We derive an effective Lagrangian describing the long wavelength dynamics of magnetic excitations and their interaction with charged spinless holes. We establish that the ground state of a doped system is superconducting and discuss the phenomenological manifestations of the parity violation.
Using a large-N slave-boson formulation of the t-J model on the square lattice that has explicit spinon-holon decoupling of the correlated electron, we study the stability and electromagnetic response of the commensurate flux phase in the limit near half filling. A region of stability for the flux phase is found located between a dimer phase region near half filling and a fluxless metallic phase region far from half filling. The commensurate flux phase itself is found to be a superconductor of the anyon type. Furthermore, it is shown that the parity--time-reversal--violating characteristic of this phase results in a frequency-dependent Faraday effect. This effect manifests itself as a zero-field Hall effect in the low-frequency limit, where the off-diagonal conductance scales with the hole concentration. Associated with this result, it is also found that the commensurate flux phase supports a series of optical absorption peaks at energies on the order of J. Lastly, inclusion of instanton tunneling events in the effective gauge-field action results in the confinement of the spinon and holon degrees of freedom. This confinement effect, however, weakens exponentially as one approaches the Mott transition. The present results are discussed in the context of the high-Tc{\mathit{T}}_{\mathit{c}}Tc​ superconducting oxides.
We study parity violating states of strongly correlated two-dimensional electronic systems. On the basis of mean field theory for the SU(2N)-symmetric generalization of the system involved we give the arguments supporting the existence of these states at a filling number different from one-half. We derive an effective Lagrangian describing the long wavelength dynamics of magnetic excitations and their interaction with charged spinless holes. We establish that the ground state of a doped system is superconducting and discuss the phenomenological manifestations of the parity violation.
Electric resistivity is examined in the constrained Hilbert space of a doped Mott insulator, which is dictated by a non-Ioffe-Larkin composition rule due to the underlying mutual Chern-Simons topological gauge structure. In the low-temperature pseudogap phase, where holons remain condensed while spinons proliferate, charge transport is governed by chiral spinon excitation, comprising a bosonic spin-12\frac{1}{2}21​ at the core of a supercurrent vortex. It leads to vanishing resistivity with the confinement of the spinons in the superconducting phase but low-TTT divergence of the resistivity once the spinon confinement is disrupted by external magnetic fields. In the latter, the chiral spinons will generate a Hall number nH={n}_{H}=nH​= doping concentration $\ensuremath{\delta}$ and a Nernst effect to signal underlying long-range entanglement between the charge and spin degrees of freedom. Their presence is further reflected in thermodynamic quantities such as specific heat and spin susceptibility. Finally, in the high-temperature spin-disordered phase, it is shown that the holons exhibit linear-TTT resistivity by scattering with the spinons acting as free local moments, which generate randomized gauge fluxes as perceived by the charge degree of freedom.
In the pseudogap phase of the cuprate, a thermal Hall response of neutral objects has been recently detected experimentally, which continuously persists into the antiferromagnetic insulating phase. In this paper, we study the transport properties of neutral spinons as the elementary excitation of a doped Mott insulator, which is governed by a mutual Chern-Simons topological gauge structure. We show that such a chiral spinon as a composite of an S = 1 / 2 spin sitting at the core of a supercurrent vortex, can contribute to the thermal Hall effect, thermopower, and Hall effect due to its intrinsic transverse (cyclotron) motion under internal fictitious fluxes. In particular, the magnitudes of the transport coefficients are phenomenologically determined by two basic parameters: the doping concentration and T c , quantitatively consistent with the experimental measurements including the signs and qualitative temperature and magnetic-field dependence. Combined with the predictions of the spinon longitudinal transport properties, including the Nernst and spin Hall effects, a phenomenological description of the pseudogap phase is established as characterized by the neutral spinon excitations, which eventually become “confined” with an intrinsic superconducting transition at T c . Finally, within this theoretical framework, the “order to order” phase transition between the superconducting and antiferromagnetic insulating phases are briefly discussed, with the thermal Hall monotonically increasing into the latter. Published by the American Physical Society 2024