Quantum Critical Transport near the Mott Transition

Terletska, Hanna; Vučičević, J.; Tanasković, D.; Dobrosavljević, Vladimir

doi:10.1103/physrevlett.107.026401

Cited by 128 publications

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“…At the critical end-point (red dots) the two solutions merge, and above it no true distinction between the phases exists; only a rapid crossover is observed upon variation of U or µ. Previous work [17,18] examined the vicinity of the interaction-driven MIT at half-filling; here we analyze the broad finite temperature crossover region between the half-filled Mott insulator and the doped Fermi liquid state [27][28][29][30]. This "Bad Metal" regime, displaying very different transport behavior than that found at half-filling, is the main focus of this work.…”

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“…This can be achieved by focusing on the "maximally frustrated Hubbard model", where an exact solution can be obtained by solving Dynamical Mean-Field Theory (DMFT) equations [16] in the paramagnetic phase. Although various aspects of the DMFT equation have been studied for more than twenty years, only very recent work [17,18] established how to identify the quantum critical (QC) behavior associated with the interaction-driven Mott transition at half-filling.Here we present a large-scale computational study across the entire phase diagram, showing that qualitatively different transport behavior is found in doped Mott insulators. It reveals a clear and quantitative connection between BM phenomenology and the signatures of Mott quantum criticality, including the characteristic "mirror symmetry" [19] of the relevant scaling function.…”

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confidence: 99%

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confidence: 99%

“…To test the QC scaling hypothesis in the case of a Mott transition, one must first identify the appropriate g c (T ) "instability trajectory" [17,18] which enters the argument of the scaling function (for illustration see Supplementary Fig. 2).…”

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Bad-Metal Behavior Reveals Mott Quantum Criticality in Doped Hubbard Models

et al. 2015

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Bad-Metal (BM) behavior featuring linear temperature dependence of the resistivity extending to well above the Mott-Ioffe-Regel (MIR) limit is often viewed as one of the key unresolved signatures of strong correlation. Here we associate the BM behavior with the Mott quantum criticality by examining a fully frustrated Hubbard model where all long-range magnetic orders are suppressed, and the Mott problem can be rigorously solved through Dynamical Mean-Field Theory. We show that for the doped Mott insulator regime, the coexistence dome and the associated first-order Mott metal-insulator transition are confined to extremely low temperatures, while clear signatures of Mott quantum criticality emerge across much of the phase diagram. Remarkable scaling behavior is identified for the entire family of resistivity curves, with a quantum critical region covering the entire BM regime, providing not only insight, but also quantitative understanding around the MIR limit, in agreement with the available experiments.PACS numbers: 71.27.+a,71.30.+h Metallic transport inconsistent with Fermi liquid theory has been observed in many different systems; it is often linked to quantum criticality around some ordering phase transition [1, 2]. Such behavior is notable near quantum critical points in good conductors, for example in heavy fermion compounds [3, 4]. In several other classes of materials, however, much more dramatic departures form conventional metallic behavior are clearly observed, where resistivity still rises linearly with temperature, but it reaches paradoxically large values, well past the MIR limit [5, 6]. This "Bad-Metal" (BM) behavior [7], was first identified in the heyday of high-temperature superconductivity, in materials such as La 2−x Sr x CuO 4 [8]. While the specific copper-oxide family and related high-T c materials remain ill-understood and marred with controversy, it soon became clear that BM behavior is a much more general feature [6] of materials close to the Mott metal-insulator transition (MIT) [9]. Indeed, it has been clearly identified also in various oxides [10, 11], organic Mott systems [12][13][14], as well as more recently discovered families of iron pnictides [15]. Despite years of speculation and debate, so far its clear physical interpretation has not been established.To gain reliable insight into the origin of BM behavior, it is useful to examine an exactly solvable model system, where one can suppress all possible effect associated with the approach to some broken symmetry phase, or those specific to low dimensions and a given lattice structure. This can be achieved by focusing on the "maximally frustrated Hubbard model", where an exact solution can be obtained by solving Dynamical Mean-Field Theory (DMFT) equations [16] in the paramagnetic phase. Although various aspects of the DMFT equation have been studied for more than twenty years, only very recent work [17,18] established how to identify the quantum critical (QC) behavior associated with the interaction-driven Mott transition at ...

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Bad-Metal Behavior Reveals Mott Quantum Criticality in Doped Hubbard Models

et al. 2015

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“…We expect that the ω/T scaling behavior with enhanced critical exponents appears in a certain range of temperatures. This conjecture reminds us of a recent study, which demonstrates a critical behavior in electrical resistivity near Mott metal-insulator transition, in particular, at finite temperatures [31]. Although the Mott metalinsulator transition is the first order at zero temperature in dynamical mean-field theory, such a machinery verified the emergence of unexpected finite-temperature critical transport for a certain temperature domain near the Mott metal-insulator phase boundary.…”

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confidence: 93%

Stoner Instability Revisited: Emergence of Local Quantum Criticality?

Kim

2014

J. Phys. Soc. Jpn.

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We revisit Stoner instability, an old problem but in a modern point of view. An idea is to extract out dynamics of directional fluctuations of spins explicitly, resorting to the CP 1 representation and integrating over their amplitude fluctuations. As a result, we derive an effective field theory for ferromagnetic quantum phase transitions in terms of bosonic spinons and fermionic holons. We show that this effective field theory reproduces overdamped spin dynamics in a paramagnetic Fermi liquid and magnon spectrum in a ferromagnetic Fermi liquid. An interesting observation is that the velocity of spinons becomes zero, approaching the ferromagnetic quantum critical point, which implies emergence of local quantum criticality. Based on this scenario, we predict the ω/T scaling behavior near ferromagnetic quantum criticality beyond the conventional scenario of the weak-coupling approach.

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One-Band Hubbard Model: DMFT Solution

Turkowski

2021

Dynamical Mean-Field Theory for Strongly Correlated Materials

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Quantum Critical Transport near the Mott Transition

Cited by 128 publications

References 24 publications

Bad-Metal Behavior Reveals Mott Quantum Criticality in Doped Hubbard Models

Bad-Metal Behavior Reveals Mott Quantum Criticality in Doped Hubbard Models

Stoner Instability Revisited: Emergence of Local Quantum Criticality?

One-Band Hubbard Model: DMFT Solution

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