Excitation spectra of quantum matter without quasiparticles. II. Random t - J models
Abstract
Here, we present numerical solutions of the spectral functions of large dimension t -J models with random nearest neighbor exchange and global SU(M) spin rotation symmetry. The solutions are obtained from the saddle-point equations of the large dimension limit, followed by the large M limit. The same saddle point equations also apply to the model with all-to-all and random hopping and exchange. Such a t -J model realizes a deconfined critical state proposed as a model for the optimally doped cuprates. The large M theory involves Green’s functions for fractionalized spinons and holons carrying emergent U(1) gauge charges, obeying relations similar to those of the Sachdev-Ye-Kitaev (SYK) models. The low frequency spectral functions are compared with an analytic analysis of the operator scaling dimensions with good agreement. We also compute the low frequency and temperature behavior of experimentally observable gauge-invariant observables: the electron Green’s function, the local spin susceptibility and the optical conductivity, along with the temperature dependence of the d.c. resistivity. The time reparameterization soft mode (equivalent to the boundary graviton in holographically dual models of two-dimensional quantum gravity) makes important contributions to all observables and provides a linear-in-temperature contribution to the d.c. resistivity.
- Publication Date:
- Research Org.:
- Harvard Univ., Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1852767
- Grant/Contract Number:
- SC0019030
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 103; Journal Issue: 7; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Materials Science; Physics
Citation Formats
Tikhanovskaya, Maria, Guo, Haoyu, Sachdev, Subir, and Tarnopolsky, Grigory. Excitation spectra of quantum matter without quasiparticles. II. Random t-J models. United States: N. p., 2021.
Web. doi:10.1103/physrevb.103.075142.
Tikhanovskaya, Maria, Guo, Haoyu, Sachdev, Subir, & Tarnopolsky, Grigory. Excitation spectra of quantum matter without quasiparticles. II. Random t-J models. United States. https://doi.org/10.1103/physrevb.103.075142
Tikhanovskaya, Maria, Guo, Haoyu, Sachdev, Subir, and Tarnopolsky, Grigory. Wed .
"Excitation spectra of quantum matter without quasiparticles. II. Random t-J models". United States. https://doi.org/10.1103/physrevb.103.075142. https://www.osti.gov/servlets/purl/1852767.
@article{osti_1852767,
title = {Excitation spectra of quantum matter without quasiparticles. II. Random t-J models},
author = {Tikhanovskaya, Maria and Guo, Haoyu and Sachdev, Subir and Tarnopolsky, Grigory},
abstractNote = {Here, we present numerical solutions of the spectral functions of large dimension t -J models with random nearest neighbor exchange and global SU(M) spin rotation symmetry. The solutions are obtained from the saddle-point equations of the large dimension limit, followed by the large M limit. The same saddle point equations also apply to the model with all-to-all and random hopping and exchange. Such a t -J model realizes a deconfined critical state proposed as a model for the optimally doped cuprates. The large M theory involves Green’s functions for fractionalized spinons and holons carrying emergent U(1) gauge charges, obeying relations similar to those of the Sachdev-Ye-Kitaev (SYK) models. The low frequency spectral functions are compared with an analytic analysis of the operator scaling dimensions with good agreement. We also compute the low frequency and temperature behavior of experimentally observable gauge-invariant observables: the electron Green’s function, the local spin susceptibility and the optical conductivity, along with the temperature dependence of the d.c. resistivity. The time reparameterization soft mode (equivalent to the boundary graviton in holographically dual models of two-dimensional quantum gravity) makes important contributions to all observables and provides a linear-in-temperature contribution to the d.c. resistivity.},
doi = {10.1103/physrevb.103.075142},
journal = {Physical Review. B},
number = 7,
volume = 103,
place = {United States},
year = {Wed Feb 24 00:00:00 EST 2021},
month = {Wed Feb 24 00:00:00 EST 2021}
}
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Works referenced in this record:
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