Spin-charge separation in the single-hole-doped Mott antiferromagnet

Weng, Zheng-Yu; Muthukumar, V. N.; Ting, C. S.

doi:10.1103/physrevb.63.075102

Cited by 33 publications

(62 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the latter case, the doped hole is found to have finite spectral weight and a coherent dispersion with the bandwidth comparable to J. The discrepancy may arise from the small sample sizes in exact diagonalization calculations: The phase string effect, which leads to the mutual Chern-Simons gauge fields, starts to play the role of self-localization only when the sample sizes become larger than the localization length scales 46 . Further investigations from both analytic and numerical approaches to clarify this issue are needed.…”

Section: Low Dopingmentioning

confidence: 99%

“…Therefore, the external magnetic flux is not allowed to present in the bulk (i.e., the Meissner effect) unless it is quantized in multiples of half flux quanta given in (46). In particular, for a magnetic flux quantized at the minimal half flux quantum Φ e min , there must be a spinon trapped near the vortex core according to (45) by noting that the "charge" 2N vor of the vortices produced by holon field is always in units of 2π (i.e., Φ 0 ).…”

Section: B Meissner Effect and Spinon Confinement In Sc Phasementioning

confidence: 99%

See 1 more Smart Citation

Mutual Chern-Simons effective theory of doped antiferromagnets

Kou

Weng

2005

Phys. Rev. B

View full text Add to dashboard Cite

A mutual-Chern-Simons Lagrangian is derived as a minimal field theory description of the phasestring model for doped antiferromagnets. Such an effective Lagrangian is shown to retain the full symmetries of parity, time-reversal, and global SU(2) spin rotation, in contrast to conventional Chern-Simons theories where first two symmetries are usually broken. Two ordered phases, i.e., antiferromagnetic and superconducting states, are found at low temperatures as characterized by "dual" Meissner effects and dual flux quantization conditions due to the mutual-Chern-Simons gauge structure. A "dual" confinement in charge/spin degrees of freedom occurs such that no true spincharge separation is present in these ordered phases, but the spin-charge separation/deconfinement serves as a driving force in the unconventional phase transitions of these ordered states to disordered states.

show abstract

Section: Low Dopingmentioning

confidence: 99%

Section: B Meissner Effect and Spinon Confinement In Sc Phasementioning

confidence: 99%

Mutual Chern-Simons effective theory of doped antiferromagnets

Kou

Weng

2005

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

“…These give rise to interference effects which are very different from the ones familiar from simple quantum mechanics, since they are inherently tied to the quantum many-body nature of the spin system. It was recently [19] demonstrated that this goes so far that even in the perfect translationally invariant case the hole is subjected to self-localization [20]. In section IV we will unveil the nature of the mechanism leading to this self-localization, resting on a general path-integral consideration and a mean-field like approximation.…”

Section: Fig 2 (Color Online) (A)mentioning

confidence: 99%

Charge modulation as fingerprints of phase-string triggered interference

et al. 2015

View full text Add to dashboard Cite

Charge order appears to be an ubiquitous phenomenon in doped Mott insulators, which is currently under intense experimental and theoretical investigations particularly in the high Tc cuprates. This phenomenon is conventionally understood in terms of Hartree-Fock type mean field theory. Here we demonstrate a new mechanism for charge modulation which is rooted in the many-particle quantum physics arising in the strong coupling limit. Specifically, we consider the problem of a single hole in a bipartite t − J ladder. As a remnant of the fermion signs, the hopping hole picks up subtle phases pending the fluctuating spins, the so-called phase string effect. We demonstrate the presence of charge modulations in the density matrix renormalization group solutions which disappear when the phase strings are switched off. This new form of charge modulation can be understood analytically in a path-integral language with a mean-field like approximation adopted, showing that the phase strings give rise to constructive interferences leading to self-localization. When the latter occurs, left-and right-moving propagating modes emerge inside the localization volume and their interference is responsible for the real space charge modulation.

show abstract

“…We add that there are also efforts to bosonize the t-J model, [13] but digging out the fermionic excitations turns out to be difficult, except possibly for the one-hole problem. [14] Recently, a new representation of the t-J model in terms of two-band fermions was proposed. [15] The idea is to let one of the band, say the p-fermion band, to carry the spin and charge of doped particles, while the other singly-occupied half-filled band, say the f -fermion band, to reflect the neutral spin background.…”

mentioning

confidence: 99%

Theory of high-energy features in single-particle spectra of hole-doped cuprates

2007

View full text Add to dashboard Cite

The recent angle-resolved photoemission measurements performed up to binding energies of the order of 1eV reveals a very robust feature: the nodal quasi-particle dispersion breaks up around 0.3-0.4eV and reappears around 0.6-0.8eV. The intensity map in the energy-momentum space shows a waterfall like feature between these two energy scales. We argue and numerically demonstrate that these experimental features follow naturally from the strong correlation effects built in the familiar t-J model, and reflect the connection between the fermi level and the lower Hubbard band. The results were obtained by a mean field theory that effectively projects electrons by quantum interference between two bands of fermions instead of binding slave particles.Recently, several groups performed independent measurements of the electron structure in hole-doped cuprates at binding energies E up to 1eV .[1-5] They observed that starting from the nodal Fermi point the nodal-direction quasi-particle dispersion breaks up near the momentum (π/4,π/4) while approaching the zone center at E > E 1 ∼ 0.3 − 0.4 eV. The dispersion curve then drops in a waterfall-fashion up to E > E 2 ∼ 0.6−0.8 eV, where spectral weights reappear while dispersing toward the zone center. The waterfall also appears in the antinodal direction near (π/2,0). These features are observed in the under-, optimal as well as over-doped regimes, below or above the superconducting transition temperature in hole-doped cuprates. In contrast, this feature does not appear in manganites, [4] signifying the unique property of cuprates. Given the robust phenomenology, the mechanism should be independent of pairing. Phonons were seen to play important roles at low energy scales [6] and at low doping levels [7]. However, it is not clear whether they could cause a dynamical gap of the order of electron volt. It is also not clear whether the polaron physics[8] applies where doped holes are already very metallic. The purpose of this paper is to show that the robust waterfall feature may reflect the generic property of one-band t-J model, serving as a connection between the low energy quasi-particles and the residual lower Hubbard band (LHB) at higher binding energies dominated by local Mottness. In reaching this conclusion, we deal with the strong correlation effect built in the t-J model by projecting electrons with quantum interference between two bands of fermions. We argue that this procedure satisfies the local sum rules for projected electrons already at the mean field level, and is therefore able to pick out the higher binding energy degrees of freedom.We first summarize the main results in comparison with the angle-resolved photoemission (ARPES) data. Using parameters suitable for hole-doped cuprates, we calculated the electronic spectral weight A(k, ω) as a function of momentum k and binding energy E = −ω. (0, 0) this is presented in Figs.1 as color intensity plots at doping levels x = 10% (a), 20% (b) and 30% (c). At low binding energies, the nodal quasi-particle spectral weigh...

show abstract

Spin-charge separation in the single-hole-doped Mott antiferromagnet

Cited by 33 publications

References 34 publications

Mutual Chern-Simons effective theory of doped antiferromagnets

Mutual Chern-Simons effective theory of doped antiferromagnets

Charge modulation as fingerprints of phase-string triggered interference

Theory of high-energy features in single-particle spectra of hole-doped cuprates

Contact Info

Product

Resources

About