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Absence of ballistic charge transport in the half-filled 1D Hubbard model
Carmelo, José M. P. (Avtor), Nemati, S. (Avtor), Prosen, Tomaž (Avtor)

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Izvleček
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
Leto izida:2018
Št. strani:str. 418-498
Številčenje:Vol. 930
UDK:536.7
ISSN pri članku:0550-3213
DOI:10.1016/j.nuclphysb.2018.03.011 Povezava se odpre v novem oknu
COBISS.SI-ID:3193444 Povezava se odpre v novem oknu
Število ogledov:386
Število prenosov:415
Metapodatki:XML RDF-CHPDL DC-XML DC-RDF
 
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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 Povezava se odpre v novem oknu

Gradivo je financirano iz projekta

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

Sekundarni jezik

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

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