Absence of ballistic charge transport in the half-filled 1D Hubbard model

Carmelo, José M. P. (avtor), Nemati, S. (avtor), Prosen, Tomaž (avtor)

Whether in the thermodynamic limit of lattice length $L\to \infty$, hole concentration $m^z_\eta =-2S^z_\eta / L =1-n_e \to 0$, nonzero temperature $T>0$, and $U/t>0$ the charge stiffness of the 1D Hubbard model with first neighbor transfer integral $t$ and on-site repulsion $U$ is finite or vanishes and thus whether there is or there is no ballistic charge transport, respectively, remains an unsolved and controversial issue, as different approaches yield contradictory results. (Here $S^z_\eta =-(L-N_e)/2$ is the $\eta$-spin projection and $n_e=N_e/L$ the electronic density.) In this paper we provide an upper bound on the charge stiffness and show that (similarly as at zero temperature), for $T>0$ and $U/t>0$ it vanishes for $m^z_\eta \to 0$ within the canonical ensemble in the thermodynamic limit $L \to \infty$. Moreover, we show that at high temperature $T \to \infty$ the charge stiffness vanishes as well within the grand-canonical ensemble for $L \to \infty$ and chemical potential $\mu \to \mu_u$ where $(\mu-\mu_u)\geq 0$ and $2\mu_u$ is the Mott–Hubbard gap. The lack of charge ballistic transport indicates that charge transport at finite temperatures is dominated by a diffusive contribution. Our scheme uses a suitable exact representation of the electrons in terms of rotated electrons for which the numbers of singly occupied and doubly occupied lattice sites are good quantum numbers for $U/t>0$. In contrast to often less controllable numerical studies, the use of such a representation reveals the carriers that couple to the charge probes and provides useful physical information on the microscopic processes behind the exotic charge transport properties of the 1D electronic correlated system under study.

• Jezik: Angleški jezik
• Ključne besede: thermodynamics, condensed matter physics, Hubbard model
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2018
• Št. strani: Str. 418-498
• Številčenje: Vol. 930
• PID: 20.500.12556/RUL-100679
• UDK: 536.7
• ISSN pri članku: 0550-3213
• DOI: 10.1016/j.nuclphysb.2018.03.011
• COBISS.SI-ID: 3193444
• Datum objave v RUL: 05.04.2018

Gradivo je del revije

• Naslov: Nuclear physics. Section B.
• Skrajšan naslov: Nucl. phys, Sect. B
• Založnik: North-Holland
• ISSN: 0550-3213
• COBISS.SI-ID: 26042624

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.
• Začetek licenciranja: 05.04.2018

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: termodinamika, fizika kondenzirane snovi, Hubbardov model

Projekti

• Financer: EC - European Commission
• Program financ.: H2020
• Številka projekta: 694544
• Naslov: Open many-body non-equilibrium systems
• Akronim: OMNES