Spectral functions of half-filled one-dimensional Hubbard rings with varying boundary conditions

We study the effect of varying the boundary condition on: the spectral function of a finite one-dimensional Hubbard chain, which we compute using direct (Lanczos) diagonalization of the Hamiltonian. By direct comparison with the two-body response functions and with the exact solution of the Bethe ansatz equations, we can identify both spinon and holon features in the spectra. At half-filling the spectra have the well-known structure of a low-energy holon band and its shadow-which spans the whole Brillouin zone-and a spinon band present for momenta less than the Fermi momentum. Features related to the twisted boundary condition are cusps in the spinon band. We show that the spectral building principle, adapted to account for both the finite system size and the twisted boundary condition, describes the spectra well in terms of single spinon and holon excitations. We argue that these finite-size effects are a signature of spin-charge separation and that their study should help establish the existence and nature of spin-charge separation in finite-size systems.

Reticent autobiography: Henry Green and Christopher Isherwood at the Hogarth Press

Christopher Isherwood’s Lions and Shadows (1938) and Henry Green’s Pack My Bag (1940) are accounts of the authors’ educations in the 1920s. Published by Leonard and Virginia Woolf’s Hogarth Press, these works use reticent narrators to test the limits of autobiography. In each case, authorial self-presentation complicates the work’s classification in the literary marketplace: Green paradoxically extends his use of a pseudonym to autobiography and Isherwood assigns his own name to his purportedly fictional protagonist, and yet Hogarth published both as novels. The two texts and their publication histories exemplify modernist autobiography’s blurring of the lines between fiction and personal history.

The logic of ideas in Christopher Hill's English revolution

This article examines the role played by ideas and their thinkers in Christopher Hill's histories of the English Revolution. Hill protested against a reductionist economic determinism with no place for the intrinsic power of ideas, but his account of ideas gave them a progressive logic parallel to, if not always easy to link with, that of economic development, and threatened to divorce them from their muddled and imperfect thinkers. This account of the logic of ideas had a striking impact on the way in which the more mainstream radicals of the English Revolution appeared in Hill's work, with both the Levellers and James Harrington being half assimilated to, and half pushed aside in favor of, the more thoroughgoing economic radicals who expressed, in however ragged a way, the intrinsic potential of their ideas. However, Hill's writings also betray a surprising attraction to religious over secular forms of radicalism.